For y = 4x2 * ex on the interval [-4,4]
a) find the absolute max/min :
b) find the extreme slopes
c) make the y’ and y’’ number lines and show their A/B patterns
d) List the local max and mins and IPs from c)
e) Sketch y showing all the important points and label its patterns, and list its xintercepts and y intercept.
![Sel y=4x² * on interval [-4, 4] y = 4(x² et + ² x an] =0 ex ( 22 + 2x] so e zo Innehno a2+ 2n-o r (+2) a 220 p = 2 Critical](http://img.homeworklib.com/questions/e9b359b0-7274-11eb-b1bf-ff50d830d622.png?x-oss-process=image/resize,w_560)




For y = 4x2 * ex on the interval [-4,4] a) find the absolute max/min :...
Find the absolute min and max values of ?(?) = 2?^3 – 32?, on the interval [0, 5].
5. Find the absolute max and absolute min of f(:1, y) = x2 + 2y2 – 2.0 – 4y on the rectangle (<r<2,0 <y<3.
. Find the absolute max and min values of f(x) in the given interval: f(x) = x^2- 2x + 5 over the closed interval [-1,2]
Find the absolute min/max of
on the domain
f(,y) = x2 + y2 +r+y + 4 We were unable to transcribe this image
2. Let f(x,y) = 2x2 - 6xy + 3y2 be a function defined on xy-plane (a) Find first and second partial derivatives of (b) Determine the local extreme points off (max., min., saddle points) if there are any. (c) Find the absolute max. and absolute min. values of f over the closed region bounded by the lines x= 1, y = 0, and y = x
use Lagrange Multipliers to find absolute max & min values of the function f(x,y) with constraint X. y 2
9. Find the relative and absolute max and min of the following functions a. f(x)=x'+x b, f(x) = Vx+4 64 c. f(x) = x3-2x2 + 5 d. f(x)- x2+4
9. Find the relative and absolute max and min of the following functions a. f(x)=x'+x b, f(x) = Vx+4 64 c. f(x) = x3-2x2 + 5 d. f(x)- x2+4
4) A company's Cost function is: C=8x2-50x +103, Revenue function is: R=4x2+3. (Profit=R-C) Find the Profit equation: a. b. Find the break-even points: ( _) U c. Find the Profit intercept: (_ d. Find the max profit (Vertex): ( e. Sketch a Graph f. Domain: g. Range: h. Find the intercepts if the company wants a Profit of $200. L.), 8) Cost = x2+2x+1, Revenue = -5x2+6x-10 Profit 9) Cost = 7x2–7x+7, Revenue = 4x2+7x+7 Profit 10) Solve the Quadratic...
a. Find the open interval(s) on which the function is increasing and decreasing b. Identify the function's local and absolute extreme values, if any, saying where they occur Determine the open interval(s) of x for which g(x) increases. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. o A. The function is increasing on the open interval(s) Type your answer in interval notation. Use a comma to separate answers as needed.)...
3. (28 points) Let f(x,y) = 2x3 - 6xy+3y- be a function defined on xy-plane. (a) (6 pnts) Find first and second partial derivatives of f. (b) (10 pnts ) Determine the local extreme points of f (max., min., saddle points) if there is any. (C) (12 pnts) Find the maximum and minimum values of f over the closed region bounded by the lines y = -x, y = 1 and y=r