Question: Question 7 (10 points) Given f(x) = (x -2)2 (x - 4) , determine a. interval increasing or decreasing, b. local minima and maxima of

Question 7 (10 points) Given f(x) = (x -2)2 (x - 4) , determine a. interval increasing or decreasing, b. local minima and maxima of f(x) c. intervals where fox) is concave up and concave down, and d. the inflection points fox) Sketch the curve, and then use a calculator to compare your answer. If you cannot determine the exact answer analytically, use a calculator. Question 8 (10 points) Given ((x) = * + X - 2 draw the graph without using a calculator. Be sure to notice all important features of the graph: local maxima and minima, inflection points, and asymptotic behavior. x - 3x - 4 Question 9 (10 points) Find the positive integer that minimizes the sum of the number and its reciprocal. Question 10 (10 points) You have 800 ft of fencing to make a pen for hogs. If you have a river on one side of your property, what is the dimension of the rectangular pen that maximizes the area

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Do A-D please and Show work!! Question 7 (10 points) Given f (ac) = (a - 2)2 (a - 4) 2, determine a. interval where f (a ) is increasing or decreasing, b. local minima and maxima of f (ac) c....

Please do A-D and show work please! Question 7 (10 points) Given f (ac) = (a - 2)2 (a - 4) 2, determine a. interval where f (a ) is increasing or decreasing, b. local minima and maxima of f (ac) c....

Do A-D please and show work Question 7 (10 points) Given f (ac) = (a - 2)2 (a - 4) 2, determine a. interval where f (a ) is increasing or decreasing, b. local minima and maxima of f (ac) c. intervals...

(1 point) For x E [11, 12] the function f is defined by f(x) = x7(x + 4)2 On which two intervals is the function increasing (enter intervals in ascending order)? to and to Find the region in which...

1. (28 points) CURVE SKETCHING. Given the function f(x) = x4 -2x2 -4 1. (2 points) Find f (x) and f"(x). 2. (16 points) Determine the following properties of the graph of f. a. Range and domain b. x...

Given the graph of f(t), let A = 0.25, A = 3.5, and A3 3. Let F' (t) = f(t). A -1 f(t) A. Evaluate ef f(t) f(t)dt = 0.7 A2 Total area = 2 f(t)dt. As 3 B. What is the total area from t= -2 to t = 4?...

1. Find the graph given the following table. Choose the correct graph. x f'x OA- a 0 Y b 0 c -8 2. Deten'nine all critical points for the tollowing function. f(x)=x2 -12x+3 x = (Use a comma to...

Thinking and Inquiry (20 marks) Provide a complete solution to each question. 3. For the function f (x) = = (x - 2) (2x + 1)2, find: a) the x and y intercepts. [T/I 2] b) the domain, range,...

8. [0/8 Points] DETAILS PREVIOUS ANSWERS This exercise analyzes the function f(x) whose derivative f'(x) is graphed below. The domain of this function is the interval [-3, 4]. f (x) -4 -2 - - 21 - 3...

Q Let the red x C Need hep X D2L Message P X Course Her X SOLVED:W x & Numerade x T Transtutors x Grade Calc X Upgrade to macOS Monterey...

. Think of a company you are familiar with. Briefly describe a couple problems the company faces that could be addressed, at least in part, through optimization. The problems can be either strategic...

Why does the use of contractors increase the complexity of an IT project?

Here is a set of ratio cards. Sort the cards into their correct groups. Each group must have one pink, one yellow and three blue cards. $50 $84 Share $150 ... ... in the ratio 2:3:1 Share $120 ......

Tire # Mileage 1 29564 2 28886 3 29822 4 29326 5 31535 6 30880 7 28376 8 29664 9 25001 10 31981 11 31048 12 29672 13 32267 14 31512 15 35228 16 27089 17 30372 18 32749 19 27670 20 31683 21 32551 22...