Mathematics

 

Problem Set 1.
This first problem set will cover material introduced in the math review. Students are
encouraged to work in groups, though any students choosing to do so must submit the names
of each student they worked with. All answers submitted must be the final product of an
individual student’s thought. Sections I and II will be worth 20% each while sections III and
IV will each be worth 30%. Theses percentages will be divided evenly among each question
in the cluster.
1.) Calculate the derivatives of the following single variable functions.
a) f (I) = 656Moo6“
b) flit) = (561%
$17
c.) f
log(xa) Hint: Look at the positioning of the parenthesis.
2.) Calculate the derivatives of the following single variable functions.
a) f (56, y) = Iayl‘a
b.) rim) = + wl-ayfi
(ma+y17cx)1i’y
(3-)
d.) my) = Li?“
3.) Solve for the system of equations which defines the solution to the following un-
constrained optimization problems, and provide sufficient conditions to demonstrate the
existence of a solution. When a function is not specified, provide the necessary and suffi-
cient conditions on the functional form. Lastly, note that in some instances, I employ Greek
variables with Latin subscripts. These are simply parameters I have defined to capture a
certain parameter/variable relationship. Treat them as every other parameter.
a.)
maaxflm) ? logx – C(l‘)
b.)
rgalx h(x, y) ? mag/fl – 693x – wyy
1-
(ml-a) ?? (was
e.)
rig/X f (:6, y; 2) = logmz +1og(y)z – ???????? + 6w)
4.) Solve the following constrained optimization problems. When a function is not spec-
ified, provide the necessary conditions on the functional form. Lastly, note that in some
instances, I employ Greek variables with latin subscripts. These are also parameters which
denote a certain parameter/variable relationship. Treat them as every other parameter.
a.)
mmaxflgr) ? logx – px
subject to
a? ? 0
b.)
max mag/5
33:34
subject to:
ny ? K;
c.)
1_
Inajxflmr, y; 1096, Ty) ? (mag/1“”) 7 – wxx – ryy
subject to
(1 + ???? ?? y ? I
d.)
rig/X f (:6, y; 2) = logmz +1og(y)z – ???????? + 6w)
subject to
ow: + 6y ? 4
e.)
or 1-04 B
Iggxflxww) – ??? ???? 2/ $ng wyy
subject to
a? ? 0
3/ ? 0
and
x+y=6

 

Order a unique copy of this paper
(550 words)

Approximate price: $22

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

101papers.com is always working towards customer satisfaction. Our professional academic writers always aim at producing comprehensive papers that possess quality and originality at pocket-friendly prices. Students are assured that all their private information is safe with us.

Money-Back Guarantee

101papers.com provides a system where students can request for money-back in case they cancel the order or in the rare instances of dissatisfaction. The refund policy adheres to the company’s term and conditions on money-back.

Read more

Zero-Plagiarism Guarantee

While providing the best professional essay writing services, we guarantee all our students of plagiarism-free papers. All papers produced by our professional academic writers are checked against all web resources and previously completed papers to avoid plagiarism.

Read more

Free Revision Policy

In our urge to provide the best professional essay writing services, we guarantee students of free revision policy. The free revision policy is a courtesy service where students can request for unlimited for their completed papers. We always aim at achieving 100% customer satisfaction rates. The free revision policy is one among many of our major advantages.

Read more

Privacy Policy

At 101papers.com, every student is entitled to total security. Our professional academic writers are always committed to protecting all private information of our customers. We do not share any personal information with third parties. Additionally, we provide safe systems for all online transactions.

Read more

Fair-Cooperation Guarantee

Working with us is the greatest step towards achieving all your academic goals. We always deliver the best professional essay writing services as promised. We, therefore, expect all students to work cooperatively with us, as we work towards achieving our goal, your satisfaction. This way, all services will be delivered accurately and on time.

Read more

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