answer #1 handwrtten NOW IT'S YOUR TURN!Solve the following problems involving related rates.1. The radius of a circular oil slick on the surface of a pond is increasing atthe rate of 10 meters/min. At what rate is the circle'sa) circumference changingb) area changingwhen the radius of the oil slick is 20 m.?162. A light at the top of a 16 ft. pole. A man 6 ft. tallwalks away from the pole at a rate of 5 ft/sec. How fast isthe tip of his shadow moving when he is 20 ft. from thepole?L-x3. A water tank in the form of aninverted cone is being emptied at the rate of 2cubic feet per second. The height of the coneis 8 feet and the radius is 4 feet. Find the rateof change of the water level when the depth is6 feet.

Answered: Image /qna-images/answer/491fe355-ab04-4466-9e8c-c79edc369cf9.jpg

NOW IT'S YOUR TURN! Solve the following problems involving related rates. 1. The radius of a circular oil slick on the surface of a pond is increasing at the rate of 10 meters/min. At what rate is the circle's a) circumference changing b) area changing when the radius of the oil slick is 20 m.?

NOW IT'S YOUR TURN! Solve the following problems involving related rates. 1. The radius of a circular oil slick on the surface of a pond is increasing at the rate of 10 meters/min. At what rate is the circle's a) circumference changing b) area changing when the radius of the oil slick is 20 m.?

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Introduction

Section: Chapter Questions

Problem 50P

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Question

answer #1 handwrtten

NOW IT'S YOUR TURN!
Solve the following problems involving related rates.
1. The radius of a circular oil slick on the surface of a pond is increasing at
the rate of 10 meters/min. At what rate is the circle's
a) circumference changing
b) area changing
when the radius of the oil slick is 20 m.?
16
2. A light at the top of a 16 ft. pole. A man 6 ft. tall
walks away from the pole at a rate of 5 ft/sec. How fast is
the tip of his shadow moving when he is 20 ft. from the
pole?
L-x
3. A water tank in the form of an
inverted cone is being emptied at the rate of 2
cubic feet per second. The height of the cone
is 8 feet and the radius is 4 feet. Find the rate
of change of the water level when the depth is
6 feet.

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