x²dy + (y² + 3xy + 4x²) dx = 0 when x = 2, y = 1

Q: Find the critical points of the functions f (x, y) = x² + 2y² - 4y + 2x, g(x, y) = x² - 14xy + y Use…

A: The given functions are , .We have to find the critical points of the function and use the second…

Q: If the total cost for a lamp is C(x)=250+33x+0.1x^2 dollars, producing how many units, x, will…

A: If the total cost for a lamp is C(x)=250+33x+0.1x^2 dollars, producing how many units, x, will…

Q: 2- Let f(x) = x²e³*. Find all critical points and use 1st derivative test to find the internals on…

A: To find the critical points of the function (f(x)=x2e−3x), we need to find the values of ( x ) where…

Q: The function F(x) = 2x^3 + 3x^2 has a relative minimum point at x =

A: We will solve the problem

Q: f (x) = e'/x²

A:

Q: locate the critical points and determine the maxima and minima of a^3y=x^2(2a^2-x^2)

A: Given function is a3y=x2(2a2-x2)

Q: Find the critical points of the functions f(x, y) = x² + 2y² - 4y + 2x, g(x, y) = x² - 14xy + y Use…

A: The Critical PointThe point is said to be critical point if The Second Derivative TestSuppose then…

Q: Let f(x) = 3x^4 − 2x^3. Find all the critical points and determine if they are relative maximums,…

A: First find the critical point. Obtain the first derivative of the given function as follows.…

Q: Find the absolute maximum ť binimum Velves cf flx)=2x²-36x²t 120x-8 on the letrval [C,127

A: In this question we have to find the absolute maximum and minimum value of the the function.

Q: f(x) = x^3 -1000x +2022 How many local minima does this function have? are inflection points of…

A: Given function f(x)=x3-1000x+2022

Q: SEND IN 20 MINUTES PLEASE !!!! Find all extreme points (maxima, minima, saddle points) of…

A: Extreme points of the function fx, y=2x3 + 2y3 - 9x2 +3y2 - 12y