Question in point] Find the value in the critical point f(x]=|n[x2-x+11} K". |n[2]. min \_J K". |n[2.'l. max \_J K". 1. max \_2 K_". 0. min K J Question 2 [1 point] The total cost in dollars forAlieia to make q oven mitts is given by 00;) = 64 + 1. 3g + 0. 019.2. Find a function that gives the average cost. ('3. 64 ' F + 1.3q + 0.01 r". 1.3+0_02q k_J r164 "F + 1.3 + 0.01.; /'\ k J. 54+1.3q Question 3 (1 point) Suppose f(1)=5 and f'(1)=0. What can we conclude about the point (1,5) if: Local Minimum 1. f '(x) 0 for > > 1? Constant 2. f'(x) > 1? Local Maximum 3. f'(x) > 0 for x > 1? 4. f '(xx) > 0 for x 0 for x > 1? Neither Question 4 (1 point) Find all of the critical points of the function. f(x)=2x3-96x+42 O -4 -3 -2 -1 O 0 0 0 0 0 0 0 0Question 5 (10 points) For the function f(x) = 2x3 - 96x + 42 , the critical number(s) is/are the maximum value is A/ and the minimum value is A/ Question 6 (1 point) y= f'(x) 10 Fig. 28 The graph of the derivative of a continuous function f. For what values of x does f have a local minimum? Oo 2 5 O O 10Question ? [1 point] Suppose you decide to fence the rectangular garden in the corner of your yard. Then two sides of the garden are bounded by the yard fence which is already there' so you only need to use the 80 feet of fencing to enclose the other two sides. What are the dimensions of the new garden of largest area? 0 10:00 feet 0 20x60 feet 0 40x40 feet 0 50x30 feet Question 8 [1 point] The total cost in dollars forAlicia to make q oven mitts is given by (IQ) = 64 + 1. 3g + 0. 01q2\ Find the quantity that minimizes the average cost. 00 030 080 0100 Question 9 [10 points} A function and value of :1 so that f'[x}=0 are given. Use the Second Derivative Test to determine whether each point (x. flx is a local maximum. a local minimum or neither. f(x]=2x3-15x2+6 x=0 0 local maximum 0 local minimum 0 neither Question 10 (1 point) Find all of the critical points of the function. f(x)=In(x2-6x+11) -4 -3 -2 100 0 0 0 0 0 O O Question 11 (1 point) y= f'(x) 10 Fig. 28 The graph of the derivative of a continuous function f. For what values of x does f have a local maximum? Oo 2 O7 10Question 12 (1 point) The total cost in dollars for Alicia to make q oven mitts is given by C(q) = 64 + 1.3q + 0. 01q2 Find a function that gives the marginal cost. 1.3 q+0.01q2 1.3 +0.02q 64+1.3 1.3 +0.01q Question 13 (4 points) 5 10 Find all the critical points where the function has the local max. O 2 3 0 0 0 0 0 0 0 0 0 8 10 11Question 14 (10 points) A function and value of x so that f'(x)=5 are given. Use the Second Derivative Test to determine whether each point (x, f(x)) is a local maximum, a local minimum or neither. f(x)=2x3-15x2+6 x=5 local maximum local minimum neither Question 15 (10 points) Given a function: f(x) = In(x2 - 6x + 11) The critical number(s) is/are and the maximum value of the function isQuestion 16 (3 points] Find all the critical points where the function has the local min. 1 2 3 4 5 6 7 8 9 10 11 '12 13 iiiiii Question 1? (10 points} f(xJ=2x3-96x+42 Fill in the blank with the maximum of the function. 15; Fill in the blank with the minimum of the function. Question 18 (1 point] The total cost in dollars forAlicia to make q oven mitts is given by 00;) = 64 + 1. 3g + 0. 0199' What is the fixed cost? (:3. o 0.01 k_J (:3. 1.3 r". 64 \_J Question 19 (10 points} f(:z:) = $2 6:1: + 5cm [2, 5] Find all the critical numbers and absolute extremes of the function on the given intervals. {3. Critical number x=6. absolute max 5. absolute min 0 {3. Critical number x=3. absolute max 5. absolute min 6 {-3. Critical number x=3. absolute max 21. absolute min -4 {3. Critical number x=. absolute max 21. absolute min 0