This post includes eight questions.

Apr 30th, 2015
Sigchi4life
Category:
Calculus
Price: $10 USD

Question description

  1. Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they occur. f(x) = x^2 - 10x - 7; [4,7]
  2. The total profit P(x) (in thousands of dollars) from the sale of x hundred thousand pillows is approximated by: P(x) = -x^3 + 12x^2 + 99x - 200, x ≥ 5. Find the number of hundred thousands of pillows that must be sold to maximize profit. Find the maximum profit.
  3. A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric fence. With 700m of wire at your disposal, what is the largest area you can enclose, and what are its dimensions?
  4. A fence must be built to enclose a rectangular area of 45000 ft^2. Fencing material costs $1 per foot for the two sides facing north and south, and $2 per foot for the other two sides. Find the cost of the least expensive fence.
  5. A rectangular box with a volume of 1280 ft^3 is to be constructed with a square base and top. The cost per square foot for the bottom is 15(cents), for the top is 10(cents), and for the sides is 1.5(cents). What dimensions will minimize the cost?
  6. Find (dy)/(dx) using implicit differentiation. 5x^3 = 7y^2 - 3y
  7. Suppose that x and y are related by the given equation and use implicit differentiation to determine (dy)/(dx). x^7y + y^7x = 4
  8. Find the equation of the tangent line at the given value of x on the curve. 2y^3 + xy - y = 54x^4; x=1

Tutor Answer

(Top Tutor) Daniel C.
(997)
School: Cornell University
PREMIUM TUTOR

Studypool has helped 1,244,100 students

8 Reviews


Summary
Quality
Communication
On Time
Value
darnay
Dec 5th, 2016
" The best tutor out there!!!! "
dontuwannaknow
Nov 26th, 2016
" Excellent work as always thanks so much "
SjSurvivor143
Nov 13th, 2016
" Thanks for the help. "
ddg82
Nov 4th, 2016
" Thanks, good work "
tinytim47
Oct 21st, 2016
" Wow this is really good.... didn't expect it. Sweet!!!! "
jestin7
Oct 12th, 2016
" This tutor is great! "
mixedballz
Oct 8th, 2016
" excellent work as always thanks for the help "
lilmoe415
Sep 29th, 2016
" Thank you, Thank you, for top quality work, this is your guy!! "
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1825 tutors are online

Brown University





1271 Tutors

California Institute of Technology




2131 Tutors

Carnegie Mellon University




982 Tutors

Columbia University





1256 Tutors

Dartmouth University





2113 Tutors

Emory University





2279 Tutors

Harvard University





599 Tutors

Massachusetts Institute of Technology



2319 Tutors

New York University





1645 Tutors

Notre Dam University





1911 Tutors

Oklahoma University





2122 Tutors

Pennsylvania State University





932 Tutors

Princeton University





1211 Tutors

Stanford University





983 Tutors

University of California





1282 Tutors

Oxford University





123 Tutors

Yale University





2325 Tutors