Calculus
Limits, derivatives, optimization, and behavior of functions.
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select the correct answer from each list. (1 point)limitations of evide…
First blank: weaknesses Second blank: concession
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determine whether the positive or negative square root should be select…
Since \(80.0^{\circ}\) lies in quadrant I, the positive square - root should be selected.
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find sinθ. cotθ = - 2/5, θ in quadrant iv sinθ = □ (simplify your answe…
\(-\frac{5\sqrt{29}}{29}\)
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use identities to find values of the sine and cosine functions of the f…
$\cos2\theta=\frac{45}{49}$; $\sin2\theta=\frac{2\sqrt{94}}{49}$
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write the expression as a function of x, with no angle measure involved…
$\frac{1}{2}\cos x+\frac{\sqrt{3}}{2}\sin x$
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use a sum or difference identity to find the exact value of the express…
\(2-\sqrt{3}\)
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besides isolationism, what is another reason why imperial china limited…
C. China feared Christian evangelism was harming Confucian tradition.
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which of the following are a type of political action committee (pac) t…
B. 501(c)(4) committees
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question 19 of 20 what was a progressive goal? a. expanding u.s. territ…
C. Reforming city governments
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question 4 of 20 populists argued that services such as telephone and t…
D. Should be made affordable to everyone.
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this quiz will cover materials from module 11. this quiz includes 15 qu…
In their state capital, in December
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the angle θ is an acute angle and sinθ = 6/7. use the pythagorean ident…
$\frac{\sqrt{13}}{7}$
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use the pythagorean theorem to find the length of the missing side of t…
$\frac{4}{5}$
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use the pythagorean theorem to find the length of the missing side of t…
$\frac{3}{5}$
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θ is an acute angle and sin θ and cos θ are given. use identities to fi…
\(\frac{24}{7}\)
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use an identity to find the value of the following expression. do not u…
\(1\)
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use an identity to find the value of the expression. do not use a calcu…
\( 1 \)
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express the following angular speed in radians per second. 7 revolution…
\(14\pi\)
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the graph of a function h is shown below. find h(-2) and find one value…
(a) \( h(-2) = \boxed{3} \) (b) One value of \( x \) for which \( h(x) = -2 \) : \(\boxed{-1}\)
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during the gilded age, working women had limited work opportunities and…
limited work opportunities and were paid less than men.
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convert the angle in degrees to radians. - 135° - 135° = radians (simpl…
\( -\dfrac{3\pi}{4} \)
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convert the following angle in degrees to radians. 117° 117° = radians …
\(\frac{13}{20}\pi\)
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complete the sentence with the better correlative conjunctions. ms. mas…
not only... but also
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there was a mrs. savage, who was injured in a hand - grenade attack by …
Support the argument that forgiveness, without accountability, perpetuates the injustices of the past.
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question 8 standard: fl20.best.ela.10.r.1.3 passage: i never understood…
First - person personal experience
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temperature ( t ) (in degrees celsius). \begin{array}{c|ccc} t & 18 & 2…
C. The number of visitors increases at the same rate over both intervals
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which of the following statements is true of iso standards? a. they giv…
d. They are mostly industry - specific.
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the goal of mass production strategy is to: ○ a. avoid overproduction b…
d. achieve reductions in average cost by taking advantage of specialization and the efficient use of capital.
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question 19 · 1 point given that pedro has a total debt of $34,630 and …
Pedro has a lower credit score because he has a higher debt - to - credit ratio.
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the figure shows the graph of a function f. the zero and extrema for f …
A. the interval from \(A\) to \(B\)
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the figure shows the graph of a function ( f ). the zero and extrema fo…
D. the interval from \(D\) to \(E\)
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the depth of seawater at a location can be modeled by the function h th…
The value of \(t\) is \(\pi\). The critical point corresponds to a relative maximum. ### Part (c)
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17. the number of fish in a lake is modeled by the function f that sati…
B. 5000
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find the first three nonzero terms in each of two linearly independent …
\(y_{1}(x)=1-\frac{1}{2}x^{2}+\frac{1}{6}x^{3}+\cdots\) \(y_{2}(x)=x-\frac{1}{6}x^{3}+\frac{1}{12}x^{4}+\cdots\)
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find a three - term recurrence relation for solutions of the form ( y=s…
\(y_1(x)=1+\frac{1}{6}x^{3}+\frac{1}{20}x^{5}+\cdots\) \(y_2(x)=x+\frac{1}{6}x^{3}+\frac{1}{12}x^{4}+\cdots\)
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find a three - term recurrence relation for solutions of the form ( y=s…
\(c_{n+2}=\frac{nc_{n}+2c_{n - 1}}{3(n + 2)}\)
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solve the initial value problem. first make a substitution of the form …
The series converges if \(3-\sqrt{3}<x<3+\sqrt{3}\)
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solve the initial value problem. first make a substitution of the form …
\(y(x)=\sum_{n = 0}^{\infty}\frac{(2n+1)!!}{(2n + 2)!!}(x - 4)^{2n+1}\), interval of convergence \((2,6)\)
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solve the initial value problem. first make a substitution of the form …
\(y(x)=4(x - 5)+\frac{4}{3}(x - 5)^{3}+\frac{8}{5}(x - 5)^{4}+\frac{56}{25}(x - 5)^{5}+\cdots=\sum_{n = 1}^{\infty}c_{n}(x - 5)^{n}\) (where \(c_{1} = 4\), \(c_{3}=\frac{4}{3}\), …
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solve the initial value problem. first make a substitution of the form …
\(y(x)=4\sum_{n = 0}^{\infty}\frac{\prod_{j = 0}^{n}(2j + 3)}{5^{n}(n + 1)(n+2)\cdots(2n + 2)}(x - 5)^{2n+1}\), interval of convergence \((5-\sqrt{5},5+\sqrt{5})\)
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solve the initial value problem. first make a substitution of the form …
\(y(x)=\sum_{n = 0}^{\infty}\frac{5(2n+1)}{2n + 1}(x - 1)^{2n+1}\), interval of convergence is \((0,2)\)
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10. - / 1.42 points evaluate the indefinite integral as an infinite ser…
$\sum_{n = 1}^{\infty}\frac{(-1)^{n}x^{2n}}{(2n)!(2n)}+C$
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use series to evaluate the limit. $$\\lim _ { x \ ightarrow 0 } \\frac …
$\frac{128}{15}$
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calculating excess - mileage fees a math student is analyzing a lease a…
\(=(14000 - 12000)\times0.20\) (the correct formula among the given options is \(=(14000 - 12000)\) followed by multiplying by \(0.20\) which is not fully shown in the given optio…
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set up a double integral to find the volume of the solid region bounded…
The double integral is \( V = 2\int_{0}^{8}\int_{0}^{\sqrt{8x - x^2}}(8x - x^2 - y^2)dydx \), so the first blank (outer integral limit for \( x \)) is \( 8 \), the second blank (i…
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use a calculator to find \\( \\arccos (0.968) \\). \\( \\arccos (0.968)…
\( 0.259 \)
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set up a double integral to find the volume of the solid region bounded…
The double integral is \(\int_{0}^{4}\int_{0}^{\sqrt{49 - x^{2}}}(x^{2}+y^{2})dydx\). So the first blank (outer integral limit for \(x\) is already \(4\), the inner integral limit…
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give the exact value of the expression without using a calculator. \\( …
\( \frac{240}{289} \)
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set up a double integral to find the volume of the solid region bounded…
\( V = \int_{0}^{9} \int_{0}^{\pi} (\sin x)^3 \, dx \, dy \)
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sketch the region of integration. (select the correct graph.) \\( \\int…
\(6\)
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read the excerpt from \perseus.\ for a time she kept his birth secret f…
having a special birth
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in the 1880s, congress proposed the chinese exclusion act, which limite…
stopped Chinese immigration for a period.
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for problems 13 - 16, use the table of values to find the average rate …
\(-11\)
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unlike european immigrants, chinese immigrants in the 1800s faced langu…
laws that severely limited entry
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standard 15 homework score: 12.67/21 answered: 14/20 progress save ques…
\(f(x)=3\sin(x - 9)-5\)
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standard 15 homework score: 11.67/21 answered: 13/20 question 14 sketch…
Sketch the graph using the key points \((0,-3)\), \((1,-5)\), \((2,-3)\), \((3,-1)\), \((4,-3)\) and connecting them with a smooth sine - wave curve that oscillates between \(y = …
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4. determine the measure of an angle coterminal with each angle in the …
a) \(0.47\) radians (in the first quadrant) b) \(40^{\circ}\) (in the first quadrant) c) \(3.28\) radians (in the second quadrant) d) \(255^{\circ}\) (in the third quadrant)
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standard 15 homework score: 10.67/21 answered: 12/20 question 13 sketch…
Sketch the graph using the key - points \((0,0),(\frac{\pi}{2},-3),(\pi,-6),(\frac{3\pi}{2},-3),(2\pi,0)\) and the fact that the function has a period of \(2\pi\) and is a cosine …
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standard 15 homework score: 9.67/21 answered: 11/20 × question 11 score…
Sketch a sine - wave with range \([0,2]\), passing through the points \((0,1)\), \((\frac{\pi}{2},2)\), \((\pi,1)\), \((\frac{3\pi}{2},0)\), \((2\pi,1)\) on the given coordinate g…
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evaluate the definite integral. use a graphing utility to verify your r…
$-\frac{1}{42}$
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standard 15 homework score: 9/21 answered: 9/20 question 10 determine t…
The amplitude is \( 2 \). The period is \( 4 \). The midline is \( y = 3 \).
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evaluate the following limits. if needed, enter oo for \\( \\infty \\) …
(a) \(\frac{\sqrt{2}}{5}\) (b) \(-\frac{\sqrt{2}}{5}\)
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7. the alarm in a noisy factory is a siren whose volume, v decibels, fl…
a) The maximum volume is \(78\) decibels and the minimum volume is \(42\) decibels. b) The period of the function is \(30\) seconds.
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evaluate the following limits. if needed, enter oo for \\( \\infty \\) …
(a) \(\frac{\sqrt{5}}{3}\) (b) \(-\frac{\sqrt{5}}{3}\)
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evaluate the limit lim_{x→+∞} (11x² - 9x + 10)/(7x + 11) question help:…
\(+\infty\)
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exercises 4.6 limits at infinity and asymptotes score: 21.5/31 answered…
\(-\frac{3}{5}\)
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evaluate the limit \\( \\lim _ { x \ ightarrow \\infty } \\frac { 6 x +…
\(0\)
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evaluate the limit lim_{x \to infty} \frac{3 + 7x}{4 - 6x} question hel…
\(-\frac{7}{6}\)
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a function is said to have a horizontal asymptote if either the limit a…
\(-\frac{13}{2}\) \(0\) \(-\frac{1}{10}\) \(-\frac{1}{3}\) \(\frac{1}{3}\)
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evaluate the following limits. if needed, enter oo for \\( \\infty \\) …
(a) \(oo\) (b) \(-oo\)
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evaluate the following limits. if needed, enter oo for \\( \\infty \\) …
(a) \(-\infty\) (b) \(\infty\)
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the graph of the function ( f(x)=\tan x ) is given above for the interv…
\(\lim_{x\to(\frac{\pi}{2})^+}f(x)=-\infty\), \(x = \frac{\pi}{2}\), \(\lim_{x\to(\frac{3\pi}{2})^-}f(x)=-\infty\), \(x=\frac{3\pi}{2}\)
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which of the following is/are signified by \\( \\lim _{x \ ightarrow a}…
- The value of $f(x)$ becomes infinite when $x$ approaches $a$. - The limit exists and equals infinity. - As $x$ approaches $a$, the value of $f(x)$ increases without bound.
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which of the following is/are signified by \\( \\lim _ { x \ ightarrow …
C. The value of \( f(x) \) becomes infinite when \( x \) approaches \( a \). D. The limit exists and equals infinity. E. As \( x \) approaches \( a \), the value of \( f(x) \) inc…
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fill in the blanks to complete each sentence with the word most appropr…
number ### Second Sentence:
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stock prices are at their peak. here f is the stock price. then ○f(x)>0…
\(f^{\prime}(x) = 0,f^{\prime\prime}(x)<0\)
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a bike accelerates faster, but a car goes faster. here ( f=) bikes posi…
\(f^{\prime}(x)<0,f^{\prime\prime}(x)>0\) (the second option)
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consider the function $f(x)=8(x - 4)^{2/3}$. for this function there ar…
\(A = 4\) \((-\infty,4)\): Decreasing \((4,\infty)\): Increasing \((-\infty,4)\): Concave down \((4,\infty)\): Concave down
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consider the function ( f(x)=4x + 7x^{-1} ). for this function there ar…
\(A=-\frac{\sqrt{7}}{2}\), \(B = 0\), \(C=\frac{\sqrt{7}}{2}\) \((-\infty,A)\): increasing \((A,B)\): decreasing \((B,C)\): decreasing \((C,\infty)\): increasing \((-\infty,B)\): …
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consider the function ( f(x)=12 x^{5}+60 x^{4}-240 x^{3}+5 ). ( f(x) ) …
\(D=\frac{-3-\sqrt{33}}{2}\), \(E = 0\), \(F=\frac{-3+\sqrt{33}}{2}\) \((-\infty,D)\): concave down \((D,E)\): concave up \((E,F)\): concave down \((F,\infty)\): concave up
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at the point shown on the function above, which of the following is tru…
\(f^{\prime}>0,f^{\prime\prime}<0\) (the third option)
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below is the function ( f(x) ). over which interval of ( x ) values is …
For \(f^{\prime}(x)>0\): \((1,\infty)\) For \(f^{\prime}(x)<0\): \((-\infty,1)\)
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question 50 (2 points) the two - term limit on the presidency became la…
the Twenty - second Amendment.
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the graph of ( y = f(x) ) is shown above. which of the following could …
C.
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example: brenda invests $30,000 in a retirement fund with a fixed annua…
The account balance after 8 years will be approximately $\$50469$.
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analyzing literary text online practice complete this assessment to rev…
second person
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complete the sentence below. suppose that the graph of a function f is …
horizontal, 2
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complete the sentence below. suppose that the graph of a function f is …
to the right
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rearrange the sentence below to remove any wordy sections. do not chang…
Students' creative expression is unfairly limited by school uniforms.
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problem 1. differentiate the following functions. (a) 4pts. $f(x)=\\fra…
## (a) $$f^{\prime}(x)=\frac{(2x\sin(x)+x^{2}\cos(x))(1 + x^{2})-2x\cdot x^{2}\sin(x)}{(1 + x^{2})^{2}}$$ ## (b) $$f^{\prime}(x)=6\sin(3x)\cos(3x)\sin(4x^{5})+20x^{4}\sin^{2}(3x)\…
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the depth of the water at the end of a pier changes periodically along …
The amplitude \(a = 1.5\), \(b=\frac{\pi}{6}\) and the model is \(d = 1.5\cos(\frac{\pi}{6}t)+4\)
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use the chart to find $h(4)$ in simplest form. $h(x)=f(g(x))$
\(33\)
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find the antiderivative of the given derivative. \\( \\frac { d p } { d…
\(p = e^{x}+3x^{2}-\frac{1}{18}e^{6x}+C\)
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find the indefinite integral and check the result by differentiating. \…
\(\frac{(9x + 9)^{6}}{6}+C\)
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shawheen puts the cost of a weekend trip with friends on his credit car…
C. Can I afford this?
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prove the following identity: \\( \\frac { 1 - \\cos ( 2 b ) } { \\sin …
\(\frac{1-\cos(2b)}{\sin(2b)}=\frac{1-(1 - 2\sin^{2}(b))}{2\sin(b)\cos(b)}=\frac{2\sin^{2}(b)}{2\sin(b)\cos(b)}=\frac{\sin(b)}{\cos(b)}=\tan(b)\)
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practice assignment 9.3 double - angle and half - angle identities scor…
$\sin(2x)=\frac{3\sqrt{7}}{8}$; $\cos(2x)=-\frac{1}{8}$; $\tan(2x)=-3\sqrt{7}$
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without using a calculator, find the value of \\(\\sin^{2}(79^{\\circ})…
$0$
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solve \\( \\sin ( 2 x ) \\cos ( 6 x ) - \\cos ( 2 x ) \\sin ( 6 x ) = -…
\(x = 0.25\)
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solve sin(2x)cos(6x)−cos(2x)sin(6x)=−0.85 for the smallest positive sol…
\(x = 0.26\)