Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

A large number of mysterious cone-shaped structures (sonie are calling them megaliths) started recent earing across the country They're mostly green with various shiny bits

image text in transcribed

image text in transcribed
A large number of mysterious cone-shaped structures (sonie are calling them megaliths) started recent earing across the country They're mostly green with various shiny bits dotting their surfaces. Many people encountering them report feelings of peace and good will. (Editors Note. since this report's first publishing, a few people have taken to tweet-tokbook to vociferously report that their encounters with the objects led to feelings of disdain or an overwhelming sense of being attacked - feelings they can easily recognize because they unfortunately experience them so very often, despite rarely putting down their smartphones.) One of these structures of particular interest is located on a plateau in the mountains outside Asheville, North Carolina. This one is peculiar because, for some reason, surrounding forest matter is apparently being attracted to the structure (perhaps by something akin to magnetism, the scientists are not sure). Due to fancy NASA scanning equipment normally housed at an observatory near the North Pole, they can tell that the stucture is maintaining an almost perfectly conical shape as material accumulates on its surface. They can also tell that the volume V of the structure is increasing at the constant rate of 9 7 cubic feet per hour. At the instant when the radius r of the megalith was 9 feet, its volume was 54 n cubic feet and its radius was increasing at - ft /hr. As of last report, the structure is still growing. (a) At the instant when the radius of the megalith was 9 feet, what was the rate of change of the area of its circular base (with respect to time)? 9 (P1) /2 fto 2/hr (b) At the same instant, what was the rate of change of its height h (with respect to time)? 1/9 feet/hour (c) At the same instant, what was the instantaneous rate of change of the area of its base with respect to its height h? Number it^ 2/ft @Section Attempt 2 of 3

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Nonlinear Controllability And Optimal Control

Authors: H. J. Sussmann

1st Edition

1351428330, 9781351428330

More Books

Students also viewed these Mathematics questions

Question

1. Critically discuss treatment approaches for violent offenders.

Answered: 1 week ago

Question

What are the normal costs of a product?

Answered: 1 week ago