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The radius of a sphere increases at the rate of 2 m/sec. Find the rate at which 5. the volume of a sphere increases when the radius is 12 m.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section: Chapter Questions

Problem 33CT

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

Solve no 5

dy
Find the derivative
dx
4. [
for the
function y = xla by using logarithmic
differentiation.
The radius of a sphere increases
at the rate of 2 m/sec. Find the rate at which
5.
the volume of a sphere increases when
the radius is 12 m.
dy
for the
dx
ба.
The derivative
11
11
function y =
11
The derivative
dy
for the
dx
b.
function y = cot-l V6 – x?

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