Question

For a four-washer approximation of the volume of the solid obtained from the region between $f\left(x\right)=x^2$ and the$y$-axis between $y=0$ and $y=4$ by rotating around the $x$-axis, illustrate and calculate

(a) $\Delta x$and each $x_{k;}$

(b) some$x_k^{*}$ in each subinterval $\left[x_{k-1},x_k\right]$;

(c) each $f\left(x_k^{*}\right)$;

(d) the volume of the second washer.

Short answer

a

Step-by-step solution

Introduction Part (a)

A