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Larson - Calculus I with PreCalculus 3/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 19 / 19

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
8/8 1/1 1/1 2/2 1/1 1/1 3/3 2/2
Total
19/19 (100.0%)

  • Instructions

    Here are some textbook questions from Calculus I with Precalculus 3/e by Ron Larson published by Brooks/Cole. Click here for a list of all of the questions coded in WebAssign.

    Students will find Read It links to specific online excerpts from their textbook.

    Read It - relevant textbook pages 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.

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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. 8/8 points  |  Previous Answers LarCalcPreCalc3 3.2.018. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6 7 8
1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1
1/50 3/50 1/50 1/50 1/50 1/50 2/50 2/50
Total
8/8
 
Use the graph of the function f to decide whether the value of the given quantity exists. (If an answer does not exist, enter DNE.)
WebAssign Plot
(a)   
f(−2)

Correct: Your answer is correct.

(b)   
lim x→−2 f(x)

Correct: Your answer is correct.

(c)   
f(0)

Correct: Your answer is correct.

(d)   
lim x→0 f(x)

Correct: Your answer is correct.

(e)   
f(2)

Correct: Your answer is correct.

(f)   
lim x→2 f(x)

Correct: Your answer is correct.

(g)   
f(4)

Correct: Your answer is correct.

(h)   
lim x→4 f(x)

Correct: Your answer is correct.

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2. 1/1 points  |  Previous Answers LarCalcPreCalc3 3.3.020. My Notes
Question Part
Points
Submissions Used
1
1/1
2/50
Total
1/1
 
Find the limit.
 lim x→1 
8x − 2
x + 8
 
Correct: Your answer is correct.

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3. 1/1 points  |  Previous Answers LarCalcPreCalc3 3.3.051. My Notes
Question Part
Points
Submissions Used
1
1/1
2/50
Total
1/1
 
Find the limit (if it exists). (If an answer does not exist, enter DNE.)
lim_(Deltat->0) ((t + Deltat)^2 - 7(t + Deltat) + 6 - (t^2 - 7 t + 6))/(Deltat)
2t−7
Correct: Your answer is correct.

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4. 2/2 points  |  Previous Answers LarCalcPreCalc3 3.4.094. My Notes
Question Part
Points
Submissions Used
1 2
1/1 1/1
6/50 5/50
Total
2/2
 
The table lists the speeds S (in feet per second) of a falling object at various times t (in seconds).
  t     0     5     10     15     20     25     30  
  S     0     48.5     53.5     55.4     56     56.2     56.3  
(a) Create a line graph of the data. (Plot a series of segments with closed endpoints.)

Submission Data


(b) Does there appear to be a limiting speed of the object? If there is a limiting speed, identify a possible cause.
    

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5. 1/1 points  |  Previous Answers LarCalcPreCalc3 3.4.075. My Notes
Question Part
Points
Submissions Used
1
1/1
4/50
Total
1/1
 
Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c guaranteed by the theorem.
f(x) = x2 + 7x + 1,    [0, 5],    f(c) = 19
c = Correct: Your answer is correct.

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6. 1/1 points  |  Previous Answers LarCalcPreCalc3 3.4.049. My Notes
Question Part
Points
Submissions Used
1
1/1
4/50
Total
1/1
 
Find the constant a such that the function is continuous on the entire real line.
f(x) = 
3x2,    x ≥ 1
ax − 8,    x < 1
a = Correct: Your answer is correct.

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7. 3/3 points  |  Previous Answers LarCalcPreCalc3 3.5.066. My Notes
Question Part
Points
Submissions Used
1 2 3
1/1 1/1 1/1
1/50 1/50 2/50
Total
3/3
 
A 25-foot ladder is leaning against a house, as shown in the figure below.
If the base of the ladder is pulled away from the house at a rate of 2 feet per second, the top will move down the wall at a rate given by the following equation, where x is the distance between the base of the ladder and the house.
r = 2x ft/sec
√625 – x2
(a) Find the rate r when x is 7 feet.
Correct: Your answer is correct.

(b) Find the rate r when x is 24 feet.
Correct: Your answer is correct.

(c) Find the limit of r as x→25 – .
+∞
Correct: Your answer is correct.

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8. 2/2 points  |  Previous Answers LarCalcPreCalc3 3.5.006. My Notes
Question Part
Points
Submissions Used
1 2
1/1 1/1
1/50 1/50
Total
2/2
 
Consider the following function and graph.
f(x) = 1/(x+2)
Determine whether f(x) approaches ∞ or -∞ as x approaches -2 from the left and from the right.
(a) lim_(x->-2**-)f(x)
−∞
Correct: Your answer is correct.

(b) lim_(x->-2**+)f(x)
∞
Correct: Your answer is correct.

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