Question

Complete parts A through F below to find nonnegative numbers x and y that satisfy the...

Complete parts A through F below to find nonnegative numbers x and y that satisfy the given requirements. Give the optimum value of P.

x+y=63 and P=x^2 y is maximized (For P=x^2 y, Y is not apart of the exponent, its apart of the equation, )

A. Solve for x+y=63

B. Substitute the result from part a into the equation P=x^2 y

C. Find the domain of the function P found in part b

D. find dP/dx. Solve the equation dP/dx=0

E. Evaluate P at any solutions found in part​ d, as well as the endpoints of the domain found in part c.

Find​ P(0).

F. Give the maximum value of​ P, as well as the two numbers x and y for which x^2 y is that value

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let F(x,y) = x^2 +3xy+4y^2 −14. Solve the equation x^2 +3xy+4y^2 −14 = 0 by the...
Let F(x,y) = x^2 +3xy+4y^2 −14. Solve the equation x^2 +3xy+4y^2 −14 = 0 by the quadratic formula for x in terms of y. Determine dx/dy when y = 1. Find the function y = f(x) for which F(x,f(x)) = 0 and f(2) = 1. Determine f′(2). How is f′(2) related to the value of dx/dy that you found above.
Use dy/dx + p(x)y = f(x) has the solution y = y_c + y_p to solve....
Use dy/dx + p(x)y = f(x) has the solution y = y_c + y_p to solve. (Integrating Factor method) Find the General solution for the DEQ: dy/dx + 2xy = y + 4x - 2. Show step by step. Please explain or I will give a down-vote. Thank you
For f(x,y)=ln(x^2−y+3). -> Find the domain and the range of the function z=f(x,y). -> Sketch the...
For f(x,y)=ln(x^2−y+3). -> Find the domain and the range of the function z=f(x,y). -> Sketch the domain, then separately sketch three distinct level curves. -> Find the linearization of f(x,y) at the point (x,y)=(4,18). -> Use this linearization to determine the approximate value of the function at the point (3.7,17.7).
A Bernoulli differential equation is one of the form dy/dx+P(x)y=Q(x)y^n (∗) Observe that, if n=0 or...
A Bernoulli differential equation is one of the form dy/dx+P(x)y=Q(x)y^n (∗) Observe that, if n=0 or 1, the Bernoulli equation is linear. For other values of n, the substitution u=y^(1−n) transforms the Bernoulli equation into the linear equation du/dx+(1−n)P(x)u=(1−n)Q(x). Consider the initial value problem xy′+y=−8xy^2, y(1)=−1. (a) This differential equation can be written in the form (∗) with P(x)=_____, Q(x)=_____, and n=_____. (b) The substitution u=_____ will transform it into the linear equation du/dx+______u=_____. (c) Using the substitution in part...
Solve the equation. (2x^3+xy)dx+(x^3y^3-x^2)dy=0 give answer in form F(x,y)=c
Solve the equation. (2x^3+xy)dx+(x^3y^3-x^2)dy=0 give answer in form F(x,y)=c
Let f(x, y) = sqrt( x^2 − y − 4) ln(xy). • Plot the domain of...
Let f(x, y) = sqrt( x^2 − y − 4) ln(xy). • Plot the domain of f(x, y) on the xy-plane. • Find the equation for the tangent plane to the surface at the point (4, 1/4 , 0). Give full explanation of your work
Consider the function f(x)=x⋅sin(x). a) Find the area bound by y=f(x) and the x-axis over the...
Consider the function f(x)=x⋅sin(x). a) Find the area bound by y=f(x) and the x-axis over the interval, 0≤x≤π. (Do this without a calculator for practice and give the exact answer.) b) Let M(x) be the Maclaurin polynomial that consists of the first 5 nonzero terms of the Maclaurin series for f(x). Find M(x) by taking advantage of the fact that you already know the Maclaurin series for sin x. M(x)= c) Since every Maclaurin polynomial is by definition centered at...
Let f(x, y) = x^2 ln(x^3 + y). (a) Find the gradient of f. (b) Find...
Let f(x, y) = x^2 ln(x^3 + y). (a) Find the gradient of f. (b) Find the direction in which the function decreases most rapidly at the point P(2, 1). (Give the direction as a unit vector.) (c) Find the directions of zero change of f at the point P(2, 1). (Give both directions as a unit vector.)
Consider the function below. y=f(x)= x/x^2+x+1 Find all critical numbers of (f), if any. Find interval(s)...
Consider the function below. y=f(x)= x/x^2+x+1 Find all critical numbers of (f), if any. Find interval(s) on which f is decreasing Final all local maximum/minimum points of f.
F(x) = ( (x+3)/(x+1) )2 find the domain of F and any critical numbers, horizontal asymptotes,...
F(x) = ( (x+3)/(x+1) )2 find the domain of F and any critical numbers, horizontal asymptotes, vertical asymptotes and points of inflection