Question

: Consider f(x) = 3 sin(x2) − x. 1. Use Newton’s Method and initial value x0...

: Consider f(x) = 3 sin(x2) − x.

1. Use Newton’s Method and initial value x0 = −2 to approximate a negative root of f(x) up to 4 decimal places.

2. Consider the region bounded by f(x) and the x-axis over the the interval [r, 0] where r is the answer in the previous part. Find the volume of the solid obtain by rotating the region about the y-axis. Round to 4 decimal places.

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