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Question # 1: Find all local and global optima of f(x)-x3-10.5x2 +36x + 15 on a) IR; b) [0, 3 c) ...
Find all the critical numbers of the function. f(x) = 2x2 + 3x? - 36x + 10 O A. -2 OB. 6 O C. -3,2 OD. 3, -2
6. Consider the function f(x) = x3 - 10x (a) (3 pts) Find f '(x) (b) (9 pts.) Find the intervals where f(x) is increasing/decreasing, and classify any local max/min. (c) (3 pts) Find f '(x) (d) (9 pts.) Find the intervals where f(x) is concave up/down and classify any inflection points. Using the information from parts a-d only, sketch the graph of y=f(x).
. Find the intervals on which f(x) = x^4 + 2x^3 − 36x^2 + 9x − 47 is concave down and up, along with the x-coordinates of any inflection points. Justify all your work
I need these questions all solved please. (11) Let f(x) x3 - 1 and g(x) = 25 sin 3r (a) What is the range of g(f(x))? Justify your answer (b) If h(r) f(g(x)) compute h'(x) (c) If t(x) ef(r) compute t'(x). (d) Obtain f'() from first principles 6 marks 6 marks 6 marks 6 marks 3. (e) Obtain the equation of the line tangent to the curve y [6 marks f(x) at (12) In this question, f(x)= r+2)2 2r (a)...
+ 1) Find all relative extrema for y = _ 13 x3 + 3x + 4 2) Find all absolute extrema of f(x) = 2x3 - 9x2 + 12x over the closed interval [ -3,3). Given: f(x) = 2x3 – 3x2 – 36x + 17 3) Find all critical values for f(x). 4) Find all relative extrema of f(x). 5) Find all points of inflection of f(x).
pls solve like example Assign 7.3.25 Find all local extrema for the function f(x,y) = x3 - 12xy + y. Find the local maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. There are local maxima located at (Type an ordered pair. Use a comma to separate answers as needed.) OB. There are no local maxima. Question Hel Find all local extrema for the function f(x,y)=x°-21xy+y3. The function will have local...
5. Letf(x) = x3 + x2 - x - 1. a. 6 pts Find all critical values off. Show all work. Answers from a graph will not receive full credit. b. 6 pts Make a sign chart for f'(x). c. 4 pts List the x and y coordinates of all local maxima and minima on the graph off. Clearly identify if the point is a maximum or minimum. d. 6 pts Make a sign chart for f'(x). e. 4 pts...
P(x) = x2-2x-15, find the instantaneous rate of change at x = 2. 7, For the function a. -15 b. 3 c. d. 0 None of the above e. If the total revenue function for a blender is 8. R(x) = 36x-0.0 1x2 where x is the number of blenders sold, what is the average rate of change in total revenue Rix) as x increases from 10 to 20 blenders? a. $34.00 b. $356 c. $35.70 d. $35.50 None of...
Question 2 Write the function f (x) 3x2 36x+ 14 in the standard form f (x) = a(x - h)2 +k a) Of (x) 3 (x-6)2 - 22 b) Of (x) 3 ( - 6)2 +94 c) Of (x) = 3 (x +6)2 - 94 d) Of (x)3 (x + 6)2 - 108 e) of (x)= 3 (x- 6)2 - 122
URGENT 2) Find the x coordinates of all relative extreme points of f(x)÷4÷3 1 4.2.3.3,2+4 2+4 2) A) x--3,1 B)x=0 C)x=-3, 0, 1 D) x-1, 0.3 E) x-1.3 3) Find the x coordinates of all relative extreme points of fo) 4-33-6x2-1 ints of f(x)- 4- 3-6x2-1 3) A) x2, 0,3 B)x 0 C)x=-2.3 D) x--3,2 E) x--3,0,2 4) Find the relative minimum point(s) of fx)x35x2-10. 4) A) (0, f(o)) B) (-2, f(-2)) and (5, f(5)) C) (-2, f(-2)) and (0,...