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Larson - Calculus: An Applied Approach 8/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 6 / 60

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

Last Saved : n/a Saving...  ()

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Question
Points
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–/19 0/4 0/1 0/7 –/13 0/3 3/9 3/3 0/1
Total
6/60 (10.0%)

  • Instructions

    Here are some textbook questions from Calculus: An Applied Approach 8/e by Ron Larson published by Brooks/Cole. 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.

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1. –/19 points LarApCalc8 0.1.028.SBS. My Notes
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–/19
 
Solve the inequality and sketch the graph of the solution on the real number line.
2x2 + 2 < 7x − 1
STEP 1: Solve the inequality in polynomial form so that zero is on one side.
2x2 − 7x + < 0

STEP 2: Factor the polynomial.
( 2x − )( x − ) < 0

STEP 3: What are the zeros of the polynomial?
(largest zero)
(smallest zero)

STEP 4: Test the intervals. (If you need to use or –, enter INFINITY or –INFINITY, respectively.)
Interval < x < < x < < x <
Test value x = 0 x = 1 x = 11
Product < 0?

STEP 5: Solve the inequality.
x

STEP 6: Sketch the graph of the solution on the real number line.
Use the tools to enter your answer.
Created with Raphaël 2.1.0012345678910
Created with Raphaël 2.1.0

NO SOLUTION

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2. 0/4 points  |  Previous Answers LarApCalc8 1.1.004. My Notes
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0/4
 
Consider the following points.
(–5, 5), (5, –5)
(a) Plot the points.
No Solution
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Submission Data



(b) Find the distance between the points. (Round to 2 decimal places.)
(c) Find the midpoint of the line segment joining the points.
, )

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3. 0/1 points  |  Previous Answers LarApCalc8 1.1.026. My Notes
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A guy wire is stretched from a broadcasting tower at a point 200 feet above the ground to an anchor 125 feet from the base (see figure). How long is the wire? (Round to 2 decimal places.)
Incorrect: Your answer is incorrect. ft

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4. 0/7 points  |  Previous Answers LarApCalc8 1.2.024. My Notes
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0/7
 
Consider the given equation.
y = x2 + 6
Sketch the graph of the equation.
No Solution
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Incorrect: Your answer is incorrect.


Give the intercepts. (Enter NONE in any unused answer blanks.)
x-intercept    (x, y) = ( , ) (smaller x-value)
(x, y) = ( , ) (larger x-value)
y-intercept    (x, y) = ( , )

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5. –/13 points LarApCalc8 1.2.048.SBS. My Notes
Question Part
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–/13
 
Complete the square to write the equation of the circle in standard form. Then graph the circle.
x2 + y2 – 12x + 6y + 41 = 0
STEP 1: Group terms, first x and then y.
(
) + (
) =

STEP 2: Complete the square.
( x2 − 12x + ) + (y2 + 6y + ) =

STEP 3: Write in standard form by factoring.
( x + )2 + (y + )2 =

STEP 4: Find the center and the radius of the circle.
center = ( , )
radius =

STEP 5: Graph the circle.
No Solution
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6. 0/3 points  |  Previous Answers LarApCalc8 1.3.068. My Notes
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Consider the point and line below.
Point: (2, 3)
Line: 4x – 2y = 7

(a) Write the equation for the line through the given point and parallel to the given line.
y =


(b) Write the equation for the line through the given point and perpendicular to the given line.
y =


(c) Graph all three equations.
No Solution
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Incorrect: Your answer is incorrect.

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7. 3/9 points  |  Previous Answers LarApCalc8 1.4.014. My Notes
Question Part
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Consider the following function.
f(x) = {(4 x + 3 text( if ) x<0,3-x text( if ) x>=0)

(a) Select the correct graph.

(b) Determine the domain and range of the function. (If you need to use or –, enter INFINITY or –INFINITY, respectively.)
domain: Correct: Your answer is correct. Incorrect: Your answer is incorrect. , Incorrect: Your answer is incorrect. Correct: Your answer is correct.
range:   Incorrect: Your answer is incorrect. Incorrect: Your answer is incorrect. , Incorrect: Your answer is incorrect. Correct: Your answer is correct.

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8. 3/3 points  |  Previous Answers LarApCalc8 1.5.022. My Notes
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3/3
 
Use the graph to find the limit (if it exists). (If you need to use or –, enter INFINITY or –INFINITY, respectively. If an answer does not exist, enter DNE.)
A = (-1, 0),    B = (-1, 5),    c = -1

(a)
lim x→c+ f(x)

Correct: Your answer is correct.

(b)
lim x→c− f(x)

Correct: Your answer is correct.

(c)
lim x→c f(x)

Correct: Your answer is correct.

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9. 0/1 points  |  Previous Answers LarApCalc8 2.1.016.MI. My Notes
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Use the limit definition to find the slope of the tangent line to the graph of f at the given point.
f(x) = 5x + 9;   (1, 14)
Incorrect: Your answer is incorrect.

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