How to find approximation of rate

Practice Questions

CLEP Calculus › How to find approximation of rate

Questions

6

1

Let $f(x) = ln(e^{x}-sin(\pi -\pi x))$ . Use linear approximation to estimate $f(\frac{3}{2})$ .

2

Using $(1+x)^{k}\approx1+kx$ , approximate the value of $(0.985)^{50}.$

3

A cube is diminishing in size. What is the ratio of the rate of loss of the cube's volume to the rate of loss of its sides when its sides have length $\frac{7}{30}$ ?

4

A cube is diminishing in size. What is the ratio of the rate of loss of the cube's volume to the rate of loss of its sides when its sides have length $\frac{13}{15}$ ?

5

Find the average rate of change for over the interval .

6

A cube is diminishing in size. What is the ratio of the rate of loss of the cube's volume to the rate of loss of its sides when its sides have length $\frac{1}{30}$ ?

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