Expert Answer:I do not want the steps just i want the answers. p

Answer & Explanation:I do not want the steps just i want the answers. please be clear about the answers and the number of the questions.
sec._14.5__gradient_and_directional_derivatives___math_2163__section_61998__fall_2019___webassign.pdf

Unformatted Attachment Preview

11/16/2019
Sec. 14.5: Gradient and Directional Derivatives – MATH 2163, section 61998, Fall 2019 | WebAssign
mr.ahmad@me.com (
sign out)
Home
My Assignments
Communication
Grades
Calendar
My eBooks
MATH 2163, section 61998, Fall 2019
INSTRUCTOR
Sec. 14.5: Gradient and Directional Derivatives
(Calculus3Homework)
Ning Ju
Northern Oklahoma
College
Current Score
QUESTION
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
POINTS
1/1
0/2
–/1
0/1
–/1
–/1
–/1
–/1
–/1
–/1
–/1
–/1
–/2
–/1
–/1
–/2
TOTAL SCORE
1/19
5.3%
Due Date
DECEMBER 14
11:32 PM CST
Assignment Submission & Scoring
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.
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21907890
1/8
11/16/2019
Sec. 14.5: Gradient and Directional Derivatives – MATH 2163, section 61998, Fall 2019 | WebAssign
Assignment Scoring
Your best submission for each question part is used for your score.
1.
1/1 points
Previous Answers
RogaCalcET3 14.5.003.
My Notes
The figure below shows the level curves of a function f(x, y) and a path r(t), traversed in the direction
d
indicated. State whether the derivative
f(r(t)) is positive, negative, or zero at points A-D.
dt
At point A the derivative is zero
.
At point B the derivative is negative
.
At point C the derivative is positive
.
At point D the derivative is zero
.
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21907890
2/8
11/16/2019
2.
Sec. 14.5: Gradient and Directional Derivatives – MATH 2163, section 61998, Fall 2019 | WebAssign
0/2 points
Previous Answers
RogaCalcET3 14.5.002.
My Notes
Let f(x, y) = 4exy and r(t) = (t3, 4 + t).
1. Calculate ∇f.
∇f =
2. Calculate r'(t).
r'(t) =
3t2,5
3. Use the Chain Rule for Paths to calculate
d
f(r(t)) =
dt
d
f(r(t)).
dt
4. Write out the composite f(r(t)) as a function of t.
f(r(t)) =
5. Differentiate f(r(t)).
d
f(r(t)) =
dt
Check that the results of (3) and (5) agree.
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21907890
3/8
11/16/2019
Sec. 14.5: Gradient and Directional Derivatives – MATH 2163, section 61998, Fall 2019 | WebAssign
–/1 points
3.
RogaCalcET3 14.5.005.
My Notes
Calculate the gradient.
f(x, y) = cos(x8 + y)
∇f =
0/1 points
4.
Previous Answers
RogaCalcET3 14.5.007.
My Notes
Calculate the gradient.
h(x, y, z) = xyz8
∇f =
8xyz7
5.
–/1 points
RogaCalcET3 14.5.010.
Use the Chain Rule to calculate
My Notes
d
f(r(t)).
dt
f(x, y) = 2x − 7y, r(t) = t4, t5 , t = 3
d
f(r(t)) =
dt
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21907890
4/8
11/16/2019
6.
Sec. 14.5: Gradient and Directional Derivatives – MATH 2163, section 61998, Fall 2019 | WebAssign
–/1 points
RogaCalcET3 14.5.011.
Use the Chain Rule to calculate
My Notes
d
f(r(t)).
dt
f(x, y) = x3 − 5xy, r(t) = (cos(3t), sin(3t)), t = 0
d
f(r(t)) =
dt
7.
–/1 points
RogaCalcET3 14.5.015.
Use the Chain Rule to calculate
My Notes
d
f(r(t)).
dt
f(x, y) = 5x − 4xy, r(t) = (t2, t2 − 2t), t = 2
d
f(r(t)) =
dt
8.
–/1 points
RogaCalcET3 14.5.018.
Use the Chain Rule to calculate
My Notes
d
f(c(t)).
dt
f(x, y, z) = x8y7e4z, c(t) = (t2, t3, t − 1), t = 1
d
f(c(t)) =
dt
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21907890
5/8
11/16/2019
Sec. 14.5: Gradient and Directional Derivatives – MATH 2163, section 61998, Fall 2019 | WebAssign
–/1 points
9.
RogaCalcET3 14.5.021.
My Notes
Calculate the directional derivative in the direction of v at the given point. Remember to normalize the
direction vector.
f(x, y) = x2 + y3,
v = 2, 5 ,
P = (5, 2)
Du f(P) =
10.
–/1 points
RogaCalcET3 14.5.025.Tutorial.SA.
My Notes
This question has several parts that must be completed sequentially. If you skip a part of the question, you
will not receive any points for the skipped part, and you will not be able to come back to the skipped part.
Tutorial Exercise
Calculate the directional derivative in the direction of v at the given point. Remember to normalize the
1
direction vector or use Duf(P) =
∇fP · v.
v
f(x, y) = tan−1(xy),
11.
–/1 points
v = 1, 1 ,
P = (6, 3)
RogaCalcET3 14.5.028.
My Notes
Calculate the directional derivative in the direction of v at the given point. Remember to normalize the
direction vector.
f(x, y, z) = z2 − xy2,
v = −1, 2, 2 ,
P = (4, 5, 8)
Du f(4, 5, 8) =
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21907890
6/8
11/16/2019
12.
Sec. 14.5: Gradient and Directional Derivatives – MATH 2163, section 61998, Fall 2019 | WebAssign
–/1 points
RogaCalcET3 14.5.032.
My Notes
Let f(x, y, z) = xy + z4, P = (8, 6, 1). Calculate the directional derivative in the direction pointing to the
origin. Remember to normalize the direction vector.
Du f(8, 6, 1) =
13.
–/2 points
RogaCalcET3 14.5.038.
My Notes
2
Let f(x, y) = xex − y and P = (9, 81).
(a) Calculate
∇fP .
∇fP =
(b) Find the rate of change of f in the direction ∇fP.
(c) Find the rate of change of f in the direction of a vector making an angle of 45° with ∇fP.
14.
–/1 points
RogaCalcET3 14.5.041.
My Notes
Find a vector normal to the surface x2 + y2 − z2 = 40 at P = (4, 5, 1).
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21907890
7/8
11/16/2019
15.
Sec. 14.5: Gradient and Directional Derivatives – MATH 2163, section 61998, Fall 2019 | WebAssign
–/1 points
RogaCalcET3 14.5.044.
My Notes
Find an equation of the tangent plane to the surface at the given point.
5×2 + 4y2 + 3z2 = 136,
16.
–/2 points
P = (3, 2, 5)
RogaCalcET3 14.5.046.
My Notes
Find an equation of the tangent plane to the surface at the given point.
x2 + 2z2ey − x = 41,
P=
3, 4,
4
e
Submit Assignment
Home
Copyright
Save Assignment Progress
My Assignments
2019 Cengage Learning, Inc. All Rights Reserved
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21907890
8/8

Purchase answer to see full
attachment

Place your order
(550 words)

Approximate price: $22

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
$26
The price is based on these factors:
Academic level
Number of pages
Urgency
Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read more

Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read more

Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read more

Privacy policy

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read more

Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more