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Rogawski - Calculus Early Transcendentals (Homework)

James Finch

Math - College, section 1, Fall 2010

Instructor: Dr. Friendly

Current Score: 4/14

Due: Tuesday, September 14, 2010 22:00 EDT

About this Assignment

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Question
Points
1 2 3 4 5 6 7
2 2 0/1 0/2 0/2 0/1 0/4
Total
4/14

Description

W. H. Freeman and WebAssign

W. H. Freeman and WebAssign have partnered to deliver an outstanding resource for your calculus course.

Combining the mostly widely used online homework platform and a new textbook that presents calculus with a solid mathematical precision but with everyday sensibility that puts the main concepts in clear terms, Ragowski's Calculus Early Transcendentals is rigorous without being inaccessible and clear without being too informal-it has the perfect balance for instructors and their students.

The WebAssign homework and assessment system will provide instructors with 1200 new problems, virtually all of which are randomized. This system is available both with a print or an eBook version of the text.

Click here to learn more about our careful, precise development, the distinct features of this text or to see a sample chapter.

Here are some textbook questions from Calculus Early Transcendentals 1/e by Jon Rogawski published by W. H. Freeman. Click here for a list of all of the questions coded in WebAssign.


Instructions

This demo assignment allows many submissions and allows you to try another version of the same question for practice.



1. 2/2 points All Submissions Notes Question: RogaCalcET1 3.1.028.
Question part
Points
Submissions
1 2
1 1
3/50 1/50
Total
2/2
 
Consider the function.
f (x) = 3x3 + 2x

(a) Compute the derivative at x = 6 using the limit definition.
f '(6) =
Enter a mathematical expression or equation with exact values.
Your answer is correct.

(b) Find an equation of the tangent line.
Enter a mathematical expression or equation with exact values.
Click here to preview your answer.Your answer is correct.


2. 2/2 points All Submissions Notes Question: RogaCalcET1 3.2.020.
Question part
Points
Submissions
1 2
1 1
5/50 19/50
Total
2/2
 
Use the function given below to answer the following questions.
f(x) = root4(x), text( ) x=625

(a) Compute f '(625).
f '(625) =
Enter a mathematical expression or equation with exact values.
Your answer is correct.

(b) Find an equation of the tangent line to the graph at x = 625.
Enter a mathematical expression or equation with exact values.
Your answer is correct.


3. –/1 points Notes Question: RogaCalcET1 3.4.017.
Question part
Points
Submissions
1
0/1
0/50
Total
0/1
 
The Earth exerts a gravitational force of F(r) (in Newtons) on an object with a mass of 74 kg, where r is the distance (in meters) from the center of the Earth.
F (r) =
2.95 1016
r 2
Find the ROC of force with respect to distance at the surface of the earth, assuming the radius of the earth is 6.77 106 m.
Enter a mathematical expression or equation with exact values.
 N/m

4. –/2 points Notes Question: RogaCalcET1 3.4.020.
Question part
Points
Submissions
1 2
0/1 0/1
0/50 0/50
Total
0/2
 
The position of a particle moving in a straight line during a 7-s trip is given below.
s(t) = 3t 2 - 6t + 1 cm

(a) What is the average velocity for the entire trip? (Assume the 7 second interval starts at t = 0.)
Enter a mathematical expression or equation with exact values.
 cm/s

(b) Find a time at which the instantaneous velocity is equal to this average velocity.
Enter a mathematical expression or equation with exact values.
 s


5. –/2 points Notes Question: RogaCalcET1 3.5.008.
Question part
Points
Submissions
1 2
0/1 0/1
0/50 0/50
Total
0/2
 
Consider the function defined below.
y = x-15/8

(a) Calculate the second derivative.
y '' =
Enter a mathematical expression or equation with exact values.
Click here to preview your answer.

(b) Calculate the third derivative.
y ''' =
Enter a mathematical expression or equation with exact values.
Click here to preview your answer.


6. 0/1 points All Submissions Notes Question: RogaCalcET1 3.11.014.
Question part
Points
Submissions
1
0/1
1/50
Total
0/1
 
A 6-ft man walks away from a 13-ft lamppost at a speed of 2 ft/s. (See Figure). Find the rate at which his shadow is increasing in length.
dl
dt
 =
Enter a mathematical expression or equation with exact values.
Your answer is incorrect. ft/s


7. 0/4 points All Submissions Notes Question: RogaCalcET1 3.11.026.
Question part
Points
Submissions
1 2 3 4
0/1 0/1 0/1 0/1
2/50 0/50 0/50 0/50
Total
0/4
 
A particle moves counter-clockwise around the ellipse with the equation given below.
Maple Generated Plot
4x2 + 36y2 = 36

(a) In which of the four quadrants is the derivative dx/dt positive? (Select all that apply.)

Your answer is incorrect.



(b) Find a relation between dx/dt and dy/dt.
Enter a mathematical expression or equation with exact values.
Click here to preview your answer.

(c) At what rate is the x-coordinate changing when the particle passes the point (3, 0), if its y-coordinate is increasing at a rate of 6 ft/s?
Enter a mathematical expression or equation with exact values.
 ft/s

(d) What is dy/dt when the particle is at the top or bottom of the ellipse?
Enter a mathematical expression or equation with exact values.
 ft/s

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