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Attached below is the PDF for the questions. I need all the parts answered for the questions. Also, you don't need to show your work. Thanks!

9/9/2019
15.2 - MAT 211, section Tuesday, Fall 2019 | WebAssign
komar1@asu.edu (sign
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MAT 211, section Tuesday, Fall 2019
INSTRUCTOR
Joe Rody
15.2 (Homework)
Arizona State University
Current Score
Due Date
QUESTION
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
POINTS
–/2
–/2
–/2
–/2
–/2
–/2
–/4
–/4
–/4
–/3
–/3
–/3
–/3
–/3
–/3
SEP 9 11:59 PM
–
Request Extension
TOTAL
0.53/50
1.1%
Assignment Submission & Scoring
Assignment Submission
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21398656
1/22
9/9/2019
15.2 - MAT 211, section Tuesday, Fall 2019 | WebAssign
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.
–/2 points
1.
Calculate
My Notes
WaneFMAC7 15.2.002.
∂f , ∂f , ∂f
∂x ∂y ∂x
(1, −1)
, and
∂f
∂y
(1, −1)
Ask Your Teacher
when defined. (If an answer is undefined, enter UNDEFINED.)
f(x, y) = 1,500 + 6x − 4y
∂f
=
∂x
∂f
=
∂y
∂f
∂x
∂f
∂y
(1, −1)
(1, −1)
=
=
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21398656
2/22
9/9/2019
15.2 - MAT 211, section Tuesday, Fall 2019 | WebAssign
–/2 points
2.
Calculate
My Notes
WaneFMAC7 15.2.003.
∂f , ∂f , ∂f
∂x ∂y ∂x
, and
(1, −1)
∂f
∂y
Ask Your Teacher
when defined. (If an answer is undefined, enter UNDEFINED.)
(1, −1)
f(x, y) = 5x2 − y3 + x − 5
∂f
=
∂x
∂f
=
∂y
∂f
∂x
∂f
∂y
(1, −1)
(1, −1)
=
=
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21398656
3/22
9/9/2019
15.2 - MAT 211, section Tuesday, Fall 2019 | WebAssign
–/2 points
3.
Calculate
My Notes
WaneFMAC7 15.2.007.
∂f , ∂f , ∂f
∂x ∂y ∂x
, and
(1, −1)
∂f
∂y
Ask Your Teacher
when defined. (If an answer is undefined, enter UNDEFINED.)
(1, −1)
f(x, y) = 6x2y
∂f
=
∂x
∂f
=
∂y
∂f
∂x
∂f
∂y
(1, −1)
(1, −1)
=
=
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21398656
4/22
9/9/2019
15.2 - MAT 211, section Tuesday, Fall 2019 | WebAssign
–/2 points
4.
Calculate
My Notes
WaneFMAC7 15.2.010.
∂f , ∂f , ∂f
∂x ∂y ∂x
, and
(1, −1)
∂f
∂y
Ask Your Teacher
when defined. (If an answer is undefined, enter UNDEFINED.)
(1, −1)
f(x, y) = x−5y2 + xy2 + xy
∂f
=
∂x
∂f
=
∂y
∂f
∂x
∂f
∂y
(1, −1)
(1, −1)
=
=
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21398656
5/22
9/9/2019
15.2 - MAT 211, section Tuesday, Fall 2019 | WebAssign
–/2 points
5.
Calculate
∂f , ∂f , ∂f
∂x ∂y ∂x
f(x, y) =
My Notes
WaneFMAC7 15.2.012.
, and
(1, −1)
∂f
∂y
Ask Your Teacher
when defined. (If an answer is undefined, enter UNDEFINED.)
(1, −1)
6
(xy + 1)1
∂f
=
∂x
∂f
=
∂y
∂f
∂x
∂f
∂y
=
(1, −1)
=
(1, −1)
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21398656
6/22
9/9/2019
15.2 - MAT 211, section Tuesday, Fall 2019 | WebAssign
–/2 points
6.
Calculate
My Notes
WaneFMAC7 15.2.018.
∂f , ∂f , ∂f
∂x ∂y ∂x
, and
(1, −1)
∂f
∂y
Ask Your Teacher
when defined. (If an answer is undefined, enter UNDEFINED.)
(1, −1)
f(x, y) = 4xe8xy
∂f
=
∂x
∂f
=
∂y
∂f
∂x
∂f
∂y
=
(1, −1)
=
(1, −1)
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21398656
7/22
9/9/2019
15.2 - MAT 211, section Tuesday, Fall 2019 | WebAssign
–/4 points
7.
Find
WaneFMAC7 15.2.020.
My Notes
Ask Your Teacher
∂2f , ∂2f , ∂2f , and ∂2f .
∂y∂x
∂x2 ∂y2 ∂x∂y
f(x, y) = 1,000 + 4x − 7y
∂2f
=
∂x2
∂2f
=
∂y2
∂2f =
∂x∂y
∂2f =
∂y∂x
Evaluate them all at (1, −1) if possible. (If an answer is undefined, enter UNDEFINED.)
∂2f (1, −1)
=
∂x2
∂2f (1, −1)
=
∂y2
∂2f (1, −1) =
∂x∂y
∂2f (1, −1) =
∂y∂x
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21398656
8/22
9/9/2019
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21398656
15.2 - MAT 211, section Tuesday, Fall 2019 | WebAssign
9/22
9/9/2019
15.2 - MAT 211, section Tuesday, Fall 2019 | WebAssign
–/4 points
8.
Find
WaneFMAC7 15.2.023.
My Notes
Ask Your Teacher
∂2f , ∂2f , ∂2f , and ∂2f .
∂y∂x
∂x2 ∂y2 ∂x∂y
f(x, y) = 2x2y
∂2f
=
∂x2
∂2f
=
∂y2
∂2f =
∂x∂y
∂2f =
∂y∂x
Evaluate them all at (1, −1) if possible. (If an answer is undefined, enter UNDEFINED.)
∂2f (1, −1)
=
∂x2
∂2f (1, −1)
=
∂y2
∂2f (1, −1) =
∂x∂y
∂2f (1, −1) =
∂y∂x
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21398656
10/22
9/9/2019
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21398656
15.2 - MAT 211, section Tuesday, Fall 2019 | WebAssign
11/22
9/9/2019
15.2 - MAT 211, section Tuesday, Fall 2019 | WebAssign
–/4 points
9.
Find
WaneFMAC7 15.2.026.
My Notes
Ask Your Teacher
∂2f , ∂2f , ∂2f , and ∂2f .
∂y∂x
∂x2 ∂y2 ∂x∂y
f(x, y) = e2x + y
∂2f
=
∂x2
∂2f
=
∂y2
∂2f =
∂x∂y
∂2f =
∂y∂x
Evaluate them all at (1, −1) if possible. (If an answer is undefined, enter UNDEFINED.)
∂2f (1, −1)
=
∂x2
∂2f (1, −1)
=
∂y2
∂2f (1, −1) =
∂x∂y
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21398656
12/22
9/9/2019
15.2 - MAT 211, section Tuesday, Fall 2019 | WebAssign
∂2f (1, −1) =
∂y∂x
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21398656
13/22
9/9/2019
15.2 - MAT 211, section Tuesday, Fall 2019 | WebAssign
–/3 points
10.
Find
WaneFMAC7 15.2.032.
My Notes
Ask Your Teacher
∂f , ∂f , and ∂f . HINT [See Example 3.]
∂x ∂y
∂z
f(x, y, z) =
34
x2 + y2 + z2
∂f
=
∂x
∂f
=
∂y
∂f
=
∂z
Find their values at (0, −1, 1) if possible. (If an answer is undefined, enter UNDEFINED.)
∂f (0, −1, 1)
=
∂x
∂f (0, −1, 1)
=
∂y
∂f (0, −1, 1)
=
∂z
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21398656
14/22
9/9/2019
15.2 - MAT 211, section Tuesday, Fall 2019 | WebAssign
–/3 points
11.
Find
WaneFMAC7 15.2.034.
My Notes
Ask Your Teacher
∂f , ∂f , and ∂f . HINT [See Example 3.]
∂x ∂y
∂z
f(x, y, z) = 8xyez + xeyz + exyz
∂f
=
∂x
∂f
=
∂y
∂f
=
∂z
Find their values at (0, −1, 1) if possible. (If an answer is undefined, enter UNDEFINED.)
∂f (0, −1, 1)
=
∂x
∂f (0, −1, 1)
=
∂y
∂f (0, −1, 1)
=
∂z
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21398656
15/22
9/9/2019
15.2 - MAT 211, section Tuesday, Fall 2019 | WebAssign
–/3 points
12.
Find
WaneFMAC7 15.2.036.
My Notes
Ask Your Teacher
∂f , ∂f , and ∂f . HINT [See Example 3.]
∂x ∂y
∂z
f(x, y, z) = 6x0.2y0.8 + z2
∂f
=
∂x
∂f
=
∂y
∂f
=
∂z
Find their values at (0, −1, 1) if possible. (If an answer is undefined, enter UNDEFINED.)
∂f (0, −1, 1)
=
∂x
∂f (0, −1, 1)
=
∂y
∂f (0, −1, 1)
=
∂z
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21398656
16/22
9/9/2019
15.2 - MAT 211, section Tuesday, Fall 2019 | WebAssign
–/3 points
13.
Find
WaneFMAC7 15.2.037.
My Notes
Ask Your Teacher
∂f , ∂f , and ∂f . HINT [See Example 3.]
∂x ∂y
∂z
f(x, y, z) = 23exyz
∂f
=
∂x
∂f
=
∂y
∂f
=
∂z
Find their values at (0, −1, 1) if possible. (If an answer is undefined, enter UNDEFINED.)
∂f (0, −1, 1)
=
∂x
∂f (0, −1, 1)
=
∂y
∂f (0, −1, 1)
=
∂z
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21398656
17/22
9/9/2019
15.2 - MAT 211, section Tuesday, Fall 2019 | WebAssign
–/3 points
14.
Find
WaneFMAC7 15.2.039.
My Notes
Ask Your Teacher
∂f , ∂f , and ∂f . HINT [See Example 3.]
∂x ∂y
∂z
f(x, y, z) =
4,000z
1 + y0.9
∂f
=
∂x
∂f
=
∂y
∂f
=
∂z
Find their values at (0, −1, 1) if possible. (If an answer is undefined, enter UNDEFINED.)
∂f (0, −1, 1)
=
∂x
∂f (0, −1, 1)
=
∂y
∂f (0, −1, 1)
=
∂z
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21398656
18/22
9/9/2019
15.2 - MAT 211, section Tuesday, Fall 2019 | WebAssign
–/3 points
15.
Find
WaneFMAC7 15.2.040.
My Notes
Ask Your Teacher
∂f , ∂f , and ∂f . HINT [See Example 3.]
∂x ∂y
∂z
f(x, y, z) =
e0.5x
1 + e−0.3y
∂f
=
∂x
∂f
=
∂y
∂f
=
∂z
Find their values at (0, −1, 1) if possible. (If an answer is undefined, enter UNDEFINED.)
∂f (0, −1, 1)
=
∂x
∂f (0, −1, 1)
=
∂y
∂f (0, −1, 1)
=
∂z
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21398656
19/22
9/9/2019
16.
15.2 - MAT 211, section Tuesday, Fall 2019 | WebAssign
–/4.5 points
My Notes
WaneFMAC7 15.2.060.
Ask Your Teacher
A production formula for a student's performance on a difficult English examination is given by
g(t, x) = 4tx − 0.2t2 − x2,
where g is the grade the student can expect to get, t is the number of hours of study for the examination, and x is the student's grade-point
average.
(a) Calculate gt(10, 3) and gx(10, 3).
gt(10, 3) =
gx(10, 3) =
Interpret the results.
If you have studied for
hours and have a GPA of
points for each additional hour of study and by
(b) What does the ratio
At a level of
, your score on the examination is increasing by
points for each additional point of GPA.
gt(10, 3)
tell about the relative merits of study and grade-point average?
gx(10, 3)
hours of study with a GPA of
, one additional hour of study is equivalent to an increase of
(rounded to three decimal places) in GPA (as far as your test score is concerned).
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=21398656
20/22
9/9/2019
17.
15.2 - MAT 211, section Tuesday, Fall 2019 | WebAssign
0.53/3.5 points
Previous Answers
My Notes
WaneFMAC7 15.2.064.
Ask Your Teacher
Recall that the compound interest formula for continuous compounding is
A(P, r, t) = Pert
where A is the future value of an investment of P dollars after t years at an interest rate of r.
(a) Calculate
∂A , ∂A , and ∂A , all evaluated at (100, 0.1, 11). (Round your answers to two decimal places.).
∂P ∂r
∂t
∂A
=
∂P
∂A
=
∂r
∂A
=
∂t
Interpret your answers.
For a $
investment at
% interest invested for
accumulated amount is increasing at a rate of $
and at a rate of $
(b) What does the function
years and compounded continuously, the
per $1 of principal, at a rate of $
per increase of 1 in r,
per year.
∂A
∂P
of t tell about your investment?
(100, 0.1, t)
AP(100, 0.1, t) tells you the rate at which the accumulated amount in an account bearing
continuously, with a principal of $
, is growing per $1
in the
% interest, compounded
,
years after the investment.
Submit Assignment
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