Use logarithmic differentiation to find .
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Suppose a 20-centimeter pendulum moves according to the equa…
Suppose a 20-centimeter pendulum moves according to the equation where is the angular displacement from the vertical in radians and t is the time in seconds. Determine the rate of change of when seconds. Round your answer to four decimal places.
The radius r of a sphere is increasing at a rate of 2 inc…
The radius r of a sphere is increasing at a rate of 2 inches per minute. Find the rate of change of the volume when inches.
Assume that x and y are both differentiable functions of…
Assume that x and y are both differentiable functions of t. Find when and for the equation.
Find an equation of the tangent line to the graph of the fun…
Find an equation of the tangent line to the graph of the function given below at the given point. , (The coefficients below are given to two decimal places.)
The volume of a cube with sides of length s is given by . Fi…
The volume of a cube with sides of length s is given by . Find the rate of change of volume with respect to s when centimeters.
Find by implicit differentiation given that .
Find by implicit differentiation given that .
Find by implicit differentiation given that . Use the orig…
Find by implicit differentiation given that . Use the original equation to simplify your answer.
A point is moving along the graph of the function such tha…
A point is moving along the graph of the function such that centimeters per second. Findwhen .
Find the slope of the graph of the function at the given val…
Find the slope of the graph of the function at the given value. when