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Brodskiy - Calculus 1/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 2 / 12

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 9
0/1 –/2 –/1 –/1 –/1 –/1 –/2 2/2 0/1
Total
2/12 (16.7%)

  • Instructions

    Multivariable Calculus 1/e by Nikolay Brodskiy is a custom textbook in use at the University of Tennessee and is available exclusively through WebAssign. Each question includes links to portions of Professor Brodskiy's textbook. 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. 0/1 points  |  Previous Answers BrodskiyCalc3 1.2.001. My Notes
Question Part
Points
Submissions Used
1
0/1
1/50
Total
0/1
 
Determine whether the given vectors are orthogonal.
u = 
4, −1
, v = 
1, 4
     Incorrect: Your answer is incorrect.
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2. –/2 points BrodskiyCalc3 2.2.001. My Notes
Question Part
Points
Submissions Used
1 2
–/1 –/1
0/50 0/50
Total
–/2
 
At what points does the curve
f(t) = (3et, 5e−t)
 intersect the ellipse
x
7
2
 
 + 
y
6
2
 
 = 1?
 (Round your answers to two decimal places.)
(x1, y1) = 
 (smaller x-value)
(x2, y2) = 
 (larger x-value)
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3. –/1 points BrodskiyCalc3 3.4.004. My Notes
Question Part
Points
Submissions Used
1
–/1
0/50
Total
–/1
 
Find the orthogonal component of the vector
F = 
1, 3, 5
 with respect to the vector
v = 
−4, 1, 5
.

$ \text{orth}_{\overrightarrow{v}}\overrightarrow{F}= $
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4. –/1 points BrodskiyCalc3 4.3.004. My Notes
Question Part
Points
Submissions Used
1
–/1
0/50
Total
–/1
 
Find the angle θ between the planes
6x + 8y + 7z = 7
 and
2x + 5y + 9z = 4.
 (Round your answer to two decimal places.)
θ =
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5. –/1 points BrodskiyCalc3 5.3.003. My Notes
Question Part
Points
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1
–/1
0/50
Total
–/1
 
Use differentials to estimate the amount of paint needed to apply a coat of paint 0.14 cm thick to a hemispherical dome with diameter 47 m. (Round your answer to three decimal places.)
m3
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6. –/1 points BrodskiyCalc3 6.1.004. My Notes
Question Part
Points
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1
–/1
0/50
Total
–/1
 
Find an equation
y = kx + b
 of the tangent line to the ellipse
x2
52
 + 
y2
72
 = 1
 at the point
(4, y)
 where
y > 0
.
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7. –/2 points BrodskiyCalc3 6.2.003. My Notes
Question Part
Points
Submissions Used
1 2
–/1 –/1
0/50 0/50
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–/2
 
At what point
P(p1, p2, p3)
 do the curves
f1(t) = (t + 2, 5t2 + 2t − 5, 8t + 3)
 and
f2(s) = (2s + 2, 20s2 + 2s − 3, 2s + 17)
 intersect?
(p1, p2, p3) = 
 

Find the absolute value of the cosine of their angle of intersection. (Round your answer to three decimal places.)
|cos θ| =
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8. 2/2 points  |  Previous Answers BrodskiyCalc3 7.1.001.POOL.003. My Notes
Question Part
Points
Submissions Used
1 2
1/1 1/1
1/50 1/50
Total
2/2
 
Find the first partial derivatives of the function.
f(x, y) = (5x + 3y)3
fx = 
15(5x +3y)2
Correct: Your answer is correct.     
fy = 
9(5x + 3y)2
Correct: Your answer is correct.     
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9. 0/1 points  |  Previous Answers BrodskiyCalc3 7.2.001.POOL.010. My Notes
Question Part
Points
Submissions Used
1
0/1
1/50
Total
0/1
 
Use implicit differentiation to find
zx: cos2(x) + cos2(y) + cos2(z) = 9z.
zx =
−2sin(x)cos(x)
Incorrect: Your answer is incorrect.
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