Homework Help is Here – Start Your Trial Now!
Math
Calculus
3. A man 5 feet tall walks at a rate of 4 ft/sec directly away from a street light which is 20 feet above the street. At what rate is the length of his shadow changing? Is the length increasing or decreasing?

3. A man 5 feet tall walks at a rate of 4 ft/sec directly away from a street light which is 20 feet above the street. At what rate is the length of his shadow changing? Is the length increasing or decreasing?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.5: Derivatives Of Logarithmic Functions
Problem 45E
See similar textbooks
icon
Related questions
Question

pls help! Also write out the answers. pls do not type

3. A man 5 feet tall walks at a rate of 4 ft/sec directly away from a street light which is 20 feet above the street. At what rate is the length of his shadow changing? Is the length increasing or decreasing? 4. A train, starting at 11am, travels east at 45 mph. Another train, starts at noon from the same point, traveling south at 60 mph. How fast are the trains separating at 3pm?
Transcribed Image Text:3. A man 5 feet tall walks at a rate of 4 ft/sec directly away from a street light which is 20 feet above the street. At what rate is the length of his shadow changing? Is the length increasing or decreasing? 4. A train, starting at 11am, travels east at 45 mph. Another train, starts at noon from the same point, traveling south at 60 mph. How fast are the trains separating at 3pm?
1. Find the derivatives of the following functions. Hint: use logarithmic differentiation (take the natural log of both sides to start), then use implicit differentiation and solve for substituting in as necessary to reach an answer that only contains the variable x. dy dx' a) b) y = (x² - 1)Inx y = xlog₂ x 2. The radius of a right circular cylinder is increasing at a rate of 2 inches/min and the height is decreasing at a rate of 3 inches/min. At what rate is the volume changing when the radius is 8 inches and height is 12 inches? Is the volume increasing or decreasing? 1
Transcribed Image Text:1. Find the derivatives of the following functions. Hint: use logarithmic differentiation (take the natural log of both sides to start), then use implicit differentiation and solve for substituting in as necessary to reach an answer that only contains the variable x. dy dx' a) b) y = (x² - 1)Inx y = xlog₂ x 2. The radius of a right circular cylinder is increasing at a rate of 2 inches/min and the height is decreasing at a rate of 3 inches/min. At what rate is the volume changing when the radius is 8 inches and height is 12 inches? Is the volume increasing or decreasing? 1
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
SEE MORE TEXTBOOKS