INSTRUCTION: State whether the given solution is TRUE or FALSE State whether the given solution is TRUE or FALSE.1. How fast is the volume of a cube changing when the edge is 15 cm if the edge ischanging at the rate of 2 mm/s?SOLUTION: = 4(15)°(0.2)2. A cone with an altitude of 40 cm has its base radius changing at the rate of 2 mm/s. Howfast is its lateral area changing when the radius is 60 cm?SOLUTION:dsn(60)²(0.2)+ 1(60)/(60)² + (40))²(0.2)dt(60)2 + (40)²3. A lady 1.65 m tall walks towards a lamp post 2.65 m high at a speed of 1.5 m/s. How fastdoes her shadow shorten in m/s? How fast does the end of her shadow move withrespect to the lamp post?SOLUTION: = + = 1.5 + 2.475atatat4. The angle between the sides of a triangle 8 cm and 12 cm long is changing, causing thearea to change at a constant rate of 45 sq.m/min. What rate in rad/min, is the anglechanging when the angle is 30 deg.?SOLUTION: 045dt48 cos 30

Answered: Image /qna-images/answer/34f560bc-c977-41f0-9237-cfc456597fef.jpg

1. How fast is the volume of a cube changing when the edge is 15 cm if the edge is changing at the rate of 2 mm/s? SOLUTION: = 4(15)°(0.2) 2. A cone with an altitude of 40 cm has its base radius changing at the rate of 2 mm/s. How fast is its lateral area changing when the radius is 60 cm? SOLUTION: ds n(60)²(0.2) + 1(60)/(60)² + (40)²(0.2) dt |(60)² + (40)² 3. A lady 1.65 m tall walks towards a lamp post 2.65 m high at a speed of 1.5 m/s. How fast does her shadow shorten in m/s? How fast does the end of her shadow move with respect to the lamp post? dx dy – 1.5 + 2.475 ds SOLUTION: dt dt dt

1. How fast is the volume of a cube changing when the edge is 15 cm if the edge is changing at the rate of 2 mm/s? SOLUTION: = 4(15)°(0.2) 2. A cone with an altitude of 40 cm has its base radius changing at the rate of 2 mm/s. How fast is its lateral area changing when the radius is 60 cm? SOLUTION: ds n(60)²(0.2) + 1(60)/(60)² + (40)²(0.2) dt |(60)² + (40)² 3. A lady 1.65 m tall walks towards a lamp post 2.65 m high at a speed of 1.5 m/s. How fast does her shadow shorten in m/s? How fast does the end of her shadow move with respect to the lamp post? dx dy – 1.5 + 2.475 ds SOLUTION: dt dt dt

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

INSTRUCTION: State whether the given solution is TRUE or FALSE

State whether the given solution is TRUE or FALSE.
1. How fast is the volume of a cube changing when the edge is 15 cm if the edge is
changing at the rate of 2 mm/s?
SOLUTION: = 4(15)°(0.2)
2. A cone with an altitude of 40 cm has its base radius changing at the rate of 2 mm/s. How
fast is its lateral area changing when the radius is 60 cm?
SOLUTION:
ds
n(60)²(0.2)
+ 1(60)/(60)² + (40))²(0.2)
dt
(60)2 + (40)²
3. A lady 1.65 m tall walks towards a lamp post 2.65 m high at a speed of 1.5 m/s. How fast
does her shadow shorten in m/s? How fast does the end of her shadow move with
respect to the lamp post?
SOLUTION: = + = 1.5 + 2.475
at
at
at
4. The angle between the sides of a triangle 8 cm and 12 cm long is changing, causing the
area to change at a constant rate of 45 sq.m/min. What rate in rad/min, is the angle
changing when the angle is 30 deg.?
SOLUTION: 0
45
dt
48 cos 30

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