Chapter 3: Problem 5
Define the acceleration of an object moving in a straight line.
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Chapter 3: Problem 5
Define the acceleration of an object moving in a straight line.
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An angler hooks a trout and begins turning her circular reel at \(1.5 \mathrm{rev} / \mathrm{s}\). If the radius of the reel (and the fishing line on it) is 2 in. then how fast is she reeling in her fishing line?
Visualizing tangent and normal lines a. Determine an equation of the tangent line and normal line at the given point \(\left(x_{0}, y_{0}\right)\) on the following curves. (See instructions for Exercises \(63-68 .)\) b. Graph the tangent and normal lines on the given graph. \(\left(x^{2}+y^{2}\right)^{2}=\frac{25}{3}\left(x^{2}-y^{2}\right);\) \(\left(x_{0}, y_{0}\right)=(2,-1)\) (lemniscate of Bernoulli)
Given the function \(f,\) find the slope of the line tangent to the graph of \(f^{-1}\) at the specified point on the graph of \(f^{-1}\) . $$f(x)=-x^{2}+8 ;(7,1)$$
Use any method to evaluate the derivative of the following functions. $$f(x)=\frac{4-x^{2}}{x-2}$$
Given the function \(f,\) find the slope of the line tangent to the graph of \(f^{-1}\) at the specified point on the graph of $$f(x)=x^{3} ;(8,2)$$
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