The above information is from your computer : be sure it is correct. For grade credit, submit over the internet by 11:59 PM (= 23:59 hours) on Sunday 14 October 2018

Self-marking Practice quiz 3

Submit over the internet by 11:59 PM Sunday 14 October 2018
Maximum value toward semester grade is 2 pts
Methods will be discussed in class;
CAUTION: Prof McFarland makes new tests each semester.

 Average grade on Fall 2017 paper test # 3 : 7.48 Perfect = 10 See future grade prospects?

 Click or type the appropriate answer for each question. When you are sure of your answers, send them to your Professor: Enter your name above Enter preferred email address;include @ and whatever follows Enter student I.D.

[1]
 (a)(1 point) If f(x) = 13 x3 - 9x + 2 , then find f '(x) by entering integers (like 5, 0, or -2) in the blanks below:
f '(x) = x3 + x2 + x +

(b)(2 pts) Find both CVs (critical values) for f(x) in [1a] above. Then test each CV by entering numbers (not just +/- signs) in the 5 empty boxes of the table below. Scoring: one point for each correct table row
(c)(2 pts) Using the values of f '(x) you entered in the table below, name the type of CV (max, min, or ledge) in the bottom table row below. Scoring: one point for each correct type of CV.

 Note that the table at the right is a 1st derivative test
 test value smallestCV test value largestCV test value x -4 0 +4 f '(x) 0 0 kind of CVRelative MaxRelative Minor Ledge Max Min Ledge Max Min Ledge
 Review these ideas??
[2]

 A baseball card store can obtain "Babe Garfield" cards at a cost of \$5 per card, and has been selling them at a rate of 50 cards per month for a price of \$9. The store is planning to change the card price, and estimates that for each \$0.50 per card reduction, 10 more cards will be sold each month. At what price per card will the store owner maximize his/her profit?
[2a](2 points) For the problem in the box above, choose the best definitions of x and P for translating the words into mathematics. Vague English gets less credit ; thus, "Let x = number of apples John should buy" is better than "Let x = apples". Note : on paper tests, student must write definitions rather than choose among options.

 Let x = number of baseball cards sold Let P = price of each baseball card Let x = baseball cards Let P = profit Let x = number of price reductions Let P = price of baseball cards sold Let x = price of each baseball card Let P = profit on all baseball cards sold Let x = number of baseball cards sold Let P = profit on all baseball cards sold Let x = cost of each baseball card Let P = price of each baseball card
[2b](3 points) Enter integers below (such as 3, 0, or -2), expressing the relationship between the "x" and "P" you defined above. The correct solution to [2b] must use the definitions of x and P from [2a] above, not some other (perhaps unlisted) choice which you might have preferred. If you (incorrectly) thought P = (10 - x)(x + 2), then you would enter "-1", "8", and "20" in the boxes below.
P(x) = x2 + x +

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