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Larson and Edwards - Calculus ET 7M/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 2 / 22

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

Last Saved : n/a Saving...  ()

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Question
Points
1 2 3 4 5 6 7 8
2/6 –/1 –/8 –/1 –/1 –/1 –/1 –/3
Total
2/22 (9.1%)

  • Instructions

    Designed for the three-semester engineering calculus course, Calculus: Early Transcendental Functions (Metric Version), 7th Edition, by Ron Larson and Bruce Edwards, published by Cengage Learning, continues to offer instructors and students innovative teaching and learning resources. The Larson team always has two main objectives for text revisions: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus; and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques, and save time. The Larson/Edwards Calculus program offers a solution to address the needs of any calculus course and any level of calculus student. Every edition from the first to the seventh of Calculus: Early Transcendental Functions has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas.

    The WebAssign enhancement to this textbook, which includes an interactive eBook, is a fully customizable online solution that empowers students to learn and not just do homework. Insightful tools save time and highlight exactly where students are struggling. Students get an engaging experience, instant feedback, and better outcomes. A total win-win!

    Question 1 models an Explore It module.

    Question 2 features a Master It tutorial and a solution.

    Question 3 is an example of a Just-In-Time question.

    Question 4 uses grading which allows the student to enter any equivocally correct answer.

    Question 5 demonstrates an indefinite integral problem that requires the constant of integration. It also has a Watch It video link.

    Question 6 allows the student to enter any correct version of the parametric equations.

    Question 7 includes grading where scalar multiples of the vector are not accepted as correct.

    Question 8 utilizes special trigonometric grading that forces students to enter simplified trigonometric functions. 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. 2/6 points  |  Previous Answers LarCalcET7M 2.2.EI.001. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6
1/1 0/1 1/1 0/1 0/1 –/1
1/50 1/50 1/50 1/50 1/50 0/50
Total
2/6
 
Review the Explore It, then use it to complete the exercise below.

Click here to access the Explore It in a new window.
Select Function 1,
f(x) = 
−0.5x − 2    x≤ −1
2 − x2    −1< x < 1
2    x= 1
2 − x2    1< x ≤ 2
0.1(x − 2)3 − 2    x≥ 2,
under the Explore & Test section of the Explore It.
(a) Does
lim x→−1− f(x)
 exist?
     Correct: Your answer is correct.

Compute the limit if it exists (round to four decimal places). (If the limit does not exist, enter DNE.)
12
Incorrect: Your answer is incorrect.

(b) Does
lim x→−1+ f(x)
 exist?
     Correct: Your answer is correct.

Compute the limit if it exists (round to four decimal places). (If the limit does not exist, enter DNE.)
i≥12
Incorrect: Your answer is incorrect.

(c) Does
lim x→−1 f(x)
 exist?
     Incorrect: Your answer is incorrect.

Compute the limit if it exists (round to four decimal places). (If the limit does not exist, enter DNE.)
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2. –/1 points LarCalcET7M 2.3.089.MI. My Notes
Question Part
Points
Submissions Used
1
–/1
0/50
Total
–/1
 
Consider the following function.
f(x) = 8x2 − 6x
Find the limit.
lim_(Deltax->0)(f(x+Deltax)-f(x))/(Deltax)

Need Help? Master It

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3. –/8 points LarCalcET7M 2.4.JIT.003. 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
 
Find f + g, f − g, fg, and f/g and their domains. (Enter your answers for all domains in interval notation.)
f(x) = x − 9,     g(x) = x2
(f + g)(x) =
domain     
(f − g)(x) =
domain     
(fg)(x) =
domain     
f
g
(x) =
domain     

Need Help? Watch It

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4. –/1 points LarCalcET7M 3.4.123. My Notes
Question Part
Points
Submissions Used
1
–/1
0/50
Total
–/1
 
Find the second derivative of the function.
f(x) = 
1
11x − 4
f ''(x) =
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5. –/1 points LarCalcET7M 5.1.025. My Notes
Question Part
Points
Submissions Used
1
–/1
0/50
Total
–/1
 
Find the indefinite integral. (Use C for the constant of integration.)
 
(7 cos x + 2 sin x) dx
 

Need Help? Watch It

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6. –/1 points LarCalcET7M 10.2.045. My Notes
Question Part
Points
Submissions Used
1
–/1
0/50
Total
–/1
 
Eliminate the parameter and obtain the standard form of the rectangular equation.
Circle:  x = h + r cos(θ),    y = k + r sin(θ)
Use your result to find a set of parametric equations for the line or conic. (When 0 ≤ θ ≤ 2π. Enter your answers as a comma-separated list of equations.)
Circle: center:
(6, 6);
 radius: 3
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7. –/1 points LarCalcET7M 11.1.055. My Notes
Question Part
Points
Submissions Used
1
–/1
0/50
Total
–/1
 
Find the component form of u + v given the lengths of u and v and the angles that u and v make with the positive x-axis.
u
 = 2,    θu = 6

v
 = 1,    θv = 2
u + v =
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8. –/3 points LarCalcET7M QP.18.008. My Notes
Question Part
Points
Submissions Used
1 2 3
–/1 –/1 –/1
0/50 0/50 0/50
Total
–/3
 
Find the exact value of the trigonometric function at the given real number.
(a)    
sec
15π
4



(b)    
csc
15π
4



(c)    
sec
− 
π
6



Read more about Topic 18: Trigonometric Functions and the Unit Circle
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