WebAssign is not supported for this browser version. Some features or content might not work. System requirements

WebAssign

Welcome, demo@demo

(sign out)

Saturday, March 29, 2025 01:32 EDT

Home My Assignments Grades Communication Calendar My eBooks

Massey - Worldwide Differential Calculus 1/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 3 / 22

Due : Sunday, January 27, 2030 00:00 EST

Last Saved : n/a Saving...  ()

Ask Your Teacher Print Assignment
Question
Points
1 2 3 4 5 6
2/5 –/5 1/2 –/1 –/1 –/8
Total
3/22 (13.6%)

  • Instructions

    Here are some sample questions from Worldwide Differential Calculus 1/e by David B. Massey published by the Worldwide Center of Mathematics. Worldwide Differential Calculus includes over 1600 assignable online homework problems with helpful links to the appropriate section of the eBook. The interactive eBook includes embedded full length video lectures by the author, interactive graphs, and video solutions for selected problems.

    Question Features:
    • Detailed worked-out solutions for every question
    • Socratic feedback on questions available when the student incorrectly answers the question
    • Interactive, multi-part tutorials for every concept
    • Tutorials, solutions, and feedback are available to students at your discretion and can all be easily adjusted by the assignment settings

    Click here for a list of all of the questions coded in WebAssign. This demo assignment allows many submissions and allows you to try another version of the same question for practice wherever the problem has randomized values.

    The answer key and solutions will display after the first submission for demonstration purposes. Instructors can configure these to display after the due date or after a specified number of submissions.

Assignment Submission

For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer.

Assignment Scoring

Your last submission is used for your score.

1. 2/5 points  |  Previous Answers WorldwideCMCalc1 1.2.501a.XP.Tut. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5
0/1 1/1 0/1 1/1 0/1
2/50 1/50 1/50 1/50 1/50
Total
2/5
 
Sketch the function
y = x2 + 3,
 and use it as directed below.
(a) Sketch the function and draw the line between the points on the curve at
x = 1
 and
x = 2.
 (Draw the entire line, not just a segment.)
No Solution
Help
-1
1
2
1
2
3
4
5
6
7
8
9
10
Clear Graph
Delete Layer
Fill

Graph LayersToggle Open/Closed

Submission Data


What is its slope?


(b) Sketch the function and draw the line between the points on the curve at
x = 1
 and
x = 1.5.
 (Draw the entire line, not just a segment.)
No Solution
Help
-1
1
2
1
2
3
4
5
6
7
8
9
10
Clear Graph
Delete Layer
Fill

Graph LayersToggle Open/Closed

Submission Data


What is its slope?


(c) Sketch the function and draw what you imagine would be the tangent line to the curve at
x = 1
 (touches the curve at just that point).
No Solution
Help
-1
1
2
1
2
3
4
5
6
7
8
9
10
Clear Graph
Delete Layer
Fill

Graph LayersToggle Open/Closed

Submission Data

Additional Materials

Your work in question(s) will also be submitted or saved.
Viewing Saved Work Revert to Last Response
2. –/5 points WorldwideCMCalc1 1.2.504b.XP.Tut. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5
–/1 –/1 –/1 –/1 –/1
0/50 0/50 0/50 0/50 0/50
Total
–/5
 
As a certain object falls, its position s (in meters) above ground after t seconds is given by
s(t) = 25 − 5t2.
(a) What is the average velocity of the object on the interval from t = 1 to the time 0.5 seconds later?
m/s

(b) What is the average velocity of the object on the interval from t = 1 to the time 0.1 seconds later?
m/s

(c) Write a polynomial in terms of h for the average velocity from t = 1 to the time h seconds later (h ≠ 0). (Simplify your answer completely.)


(d) What does this average tend toward for h closer and closer to 0 (smaller and smaller time interval)?
m/s

(e) What would you guess to be the exact velocity of the object after 1 second?
m/s

Additional Materials

Your work in question(s) will also be submitted or saved.
Viewing Saved Work Revert to Last Response
3. 1/2 points  |  Previous Answers WorldwideCMCalc1 1.3.539a.XP.Tut. My Notes
Question Part
Points
Submissions Used
1 2
1/1 –/1
1/50 0/50
Total
1/2
 
Find the point(s) of discontinuity for the function given. (Enter your answers as a comma-separated list.)
f(x) = 
x2 − 25
x2 + 5x
 
x =
0,−5
Correct: Your answer is correct. webMathematica generated answer key

Sketch the graph (consider rewriting the function first, into a more familiar form).

Additional Materials

Your work in question(s) will also be submitted or saved.
Viewing Saved Work Revert to Last Response
4. –/1 points WorldwideCMCalc1 1.3.546c.XP. My Notes
Question Part
Points
Submissions Used
1
–/1
0/50
Total
–/1
 
Find the set of all points at which the function is continuous.
f(x) = 
x + 5
|x + 5|
 
    

Additional Materials

Your work in question(s) will also be submitted or saved.
Viewing Saved Work Revert to Last Response
5. –/1 points WorldwideCMCalc1 1.4.502f.XP. My Notes
Question Part
Points
Submissions Used
1
–/1
0/50
Total
–/1
 
Find the equation of the line tangent to the given curve at the given point.
y = 
t − 6
; (31, 5)

Additional Materials

Your work in question(s) will also be submitted or saved.
Viewing Saved Work Revert to Last Response
6. –/8 points WorldwideCMCalc1 1.5.521a.XP. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6 7 8
–/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1
0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50
Total
–/8
 
The graph of f(x) is shown.
WebAssign Plot
Determine the intervals on which f is increasing/decreasing. (Select all that apply.)
Increasing:


Decreasing:


Determine the intervals on which f is concave up/down. (Select all that apply.)
Concave up:


Concave down:


Determine the critical numbers, the local extrema, and inflection points for f. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
critical numbers     x =
local maximum     x =
local minimum     x =
inflection points     x =

Additional Materials

Your work in question(s) will also be submitted or saved.
Viewing Saved Work Revert to Last Response
Home My Assignments
Enter an exact number.
Enter a number.
Enter a number.
Enter a number.
Enter an exact number.
Enter an exact number.