# Math Vector Calcu

I will be attaching it below . which each of the following Queastions and I would like it to be done within 3 or 4 hours max thank you very much best regards
writtenhw6.pdf

Unformatted Attachment Preview

Don't use plagiarized sources. Get Your Custom Essay on
Math Vector Calcu
Just from \$13/Page

Math 254 Written Homework 6 – Spring 2018
Due May 10, 2018
Page 1 of 2
Instructions: Put your solutions on a separate piece(s) of paper. Bring your completed
paper copy to Recitation. You may submit it to Canvas up until 11:59 pm on May 10.
After 11:59 pm on Thursday it will be late. Late homework is not accepted.
To submit it to Canvas, scan your document as a pdf file. Canvas will only accept pdf files.
(1) Find the domain of the following functions. Sketch the domain.
1
(a) f (x, y) = p
,
2
x y 2 â?? 25
(b) f (x, y) = ln(x2 â?? y).
(2) At what points of R2 is the following function continuous?
ï£±
xy
ï£²
if (x, y) 6= (0, 0),
2
x y2
f (x, y) =
ï£³ 0
if (x, y) = (0, 0).
(3) Let z = f (x, y) = x2 y â?? xy 3 and suppose
(
x = x(t) = t2
y = y(t) = tâ??2 .
dz
. Express your answer in terms of
Use the Chain Rule to compute the derivative
dt
the independent variable t.
(4) When two electrical resistors with resistance R1 > 0 and R2 > 0 are wired in parallel
in a circuit, the combined resistance R, measured in ohms (â?¦), is given by
1
1
1
=

R
R1 R2
â??R
â??R
(a) Find
and
after solving for R (e.g., R = . . . ).
â??R1
â??R2
(b) Describe how an increase in R1 with R2 held constant affects R. (Will R increase
or decrease?)
(c) Describe how a decrease in R2 with R1 held constant affects R. (Will R increase
or decrease?)
(5) A grocery store sells two kinds of citrus fruit: oranges and grapefruit. These are
competing â?? when the price of one increases, it causes more of the other to be sold.
Let Q(g, r) represent the quantity (in kilograms) of grapefruit sold with g being the
price of grapefruit (\$/kg) and r being the price of oranges (\$/kg).
Interpret the equation
â??Q
= Qr (3, 4) = 6.
â??r (3,4)
Use the contextual words or phrases â??quantity of grapefruit soldâ?, â??dollarsâ?, â??kilogramsâ?, etc… in your interpretation.
Math 254 Written Homework 6 – Spring 2018
Due May 10, 2018
Page 2 of 2
(6) For each of the following, compute the second partial derivatives fxx , fyy , fxy , and fyx .
(a) f (x, y) = cos(xy)
(b) f (x, y) = ye3x
1
(c) f (x, y) = â??
xy
(7) Consider the surface z = x2 2 . Suppose you are walking on this surface directly
above a curve C in the xy-plane, where the parameterized curve C is given by
C : x = cos t y = sin t.
Find the values of t for which you are walking uphill (that is, z is increasing).
(Assume you are walking above the curve C in the direction of positive orientation.
The direction of positive orientation for the plane curve C is indicated by its tangent
vectors.)

Purchase answer to see full
attachment

Calculate your paper price
Pages (550 words)
Approximate price: -

Why Work with Us

Top Quality and Well-Researched Papers

We always make sure that writers follow all your instructions precisely. You can choose your academic level: high school, college/university or professional, and we will assign a writer who has a respective degree.

Professional and Experienced Academic Writers

We have a team of professional writers with experience in academic and business writing. Many are native speakers and able to perform any task for which you need help.

Free Unlimited Revisions

If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document. You can do this yourself after logging into your personal account or by contacting our support.

Prompt Delivery and 100% Money-Back-Guarantee

All papers are always delivered on time. In case we need more time to master your paper, we may contact you regarding the deadline extension. In case you cannot provide us with more time, a 100% refund is guaranteed.

Original & Confidential

We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text. We also promise maximum confidentiality in all of our services.

Our support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.

Try it now!

## Calculate the price of your order

Total price:
\$0.00

How it works?

Follow these simple steps to get your paper done

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Receive the final file

Once your paper is ready, we will email it to you.

Our Services

No need to work on your paper at night. Sleep tight, we will cover your back. We offer all kinds of writing services.

## Essay Writing Service

No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.