Question

perform the indicated operations in each exercise.

1. if (f(x) = 3x^2 - x + 5), find (f(0), f(3), f(-5), f(-3x)) and (f(x + 1)).
2. if (f(x) = 9 + x^2), find (f(-2), f(2), f(-y), f(4y)) and (f(y + 1)).
3. if (g(x) = \frac{x^3 + 3}{x + 1}), find (g(1), g(-1), g(-y), g(2y)) and (g(0)).
4. if (v(y) = \sin y), find (v(0), v(\pi), v(\pi - x), v(-x)) and (v(2\pi)).
5. if (f(y) = \sin y + \cos y), find (f(\pi), f(0), f(2\pi), f(-y)) and (f(\pi + x)).
6. if (v(x) = x(x^2 + 5)), find (v(0), v(-2), v\left(\frac{1}{2}\

ight), v(-5)) and (v(y + 4)).

1. if (g(y) = \tan y), find (g(\pi), g\left(\frac{\pi}{2}\

ight), g(2x), g(-x)) and (g\left(\frac{\pi}{4}
ight)).

1. if (f(\theta) = \cos \theta), find (f(0), f\left(\frac{\pi}{4}

ight), f\left(\frac{\pi}{2}
ight), f(\pi)) and (f(2\pi)).

1. if (f(x) = (\sec^2 x - 1)), find (f(0), f\left(\frac{\pi}{4}

ight), f\left(\frac{\pi}{3}
ight), f(\pi)) and (f(2\pi)).

1. if (f(x) = \ln x), find (f(1), f(e), f(e^2), f(e^{-x})) and (f(\cos 2\pi)).
2. if (f(x) = e^x), find (f(0), f(1), f(-1), f(\ln x)) and (f(\ln \sin x)).
3. if (g(y) = 1 + \cos y), find (g(0), g\left(\frac{\pi}{2}

ight), g(\pi), g(2\pi)) and (g(x + 1)).

1. if (f(x) = \frac{x^2 + 1}{x}), find (f(0), f(e^x), f(\tan x), f(\sin x + \cos x)) and (f(\sin^2 x)).
2. if (g(x) = \frac{(x + 1)^2}{x}), find (g\left(\frac{1}{2}

ight), g\left(\frac{a}{b}
ight), g(\sin x), g(\tan x)) and (g(e^x)).

1. if (g(y) = 2y + \sin y), find (g(0), g\left(\frac{\pi}{2}

ight), g(\pi), g(2\pi)) and (g(\pi + x)).

1. express the area of a triangle as a function of its altitude having a base of 4 units. graph the function.
2. express the volume of a right circular cone with an altitude of 6 units as a function of its radius. graph the function.
3. express the hypotenuse of a right triangle as a function of its adjacent side having a 2.5 cm opposite side. graph the function.
4. express the area of an ellipse having a length of its major axis 9 units as a function of the length of the minor axis. graph the function.
5. express the height of a right circular cylinder as a function of its volume having a radius of 4 cm. graph the function.
6. express the radius of a sphere as a function of its volume. graph the function.
7. express the radius of a sphere as a function of its surface area. graph the function.
8. a right circular cylinder has an altitude of 10 m. express the radius of the cylinder as a function of its volume. graph the function.
9. a right circular cone uses (20\text{ in}^2) of metal sheet. find the volume as a function of its radius. graph the function.
10. two sides of a triangle are 15 cm and 18 cm respectively. express the angle between the two sides as a function of its area. graph the function.
11. a parabola has an altitude of 4 units. express the length of its base as a function of its area. graph the function.
12. express the volume of a cube as a function of its surface area having a length of its side 5 cm. graph the function.
13. an ellipse has a 6 units length minor axis. express the volume of an ellipsoid generated by the ellipse as a function of the area of the ellipse. graph the function.
14. a population of a certain place is given by (p = 8000e^{0.457t}), where (p) is the present population and (t) is the time in years. express the time (t) as a function of the population (p). graph the function.
15. at a distance of 100 km, express the speed (v) as a function of time (t). graph the function.

Explanation:

Please specify which exercise number(s) from the image you would like solved!

For example, you can ask to solve Exercise 11, Exercise 26, or any other specific problem from the list.

Answer:

Please specify which exercise number(s) from the image you would like solved!

For example, you can ask to solve Exercise 11, Exercise 26, or any other specific problem from the list.