Test 2 Problems

Test 2 Problems - Name: b. 755mm REVIEW W(t) is the amount...

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Unformatted text preview: Name: b. 755mm REVIEW W(t) is the amount of water (in ounces) in a pot t minutes after the water begins to boil. Suppose W(2) = 30 and W'(2)=-o.25 Give a sentence of practical interpretation for W(2) = 30 . Give a sentence of practical interpretation for W'(2) = -o.25 . Find the percentage rate of change in the amount of water in the pot 2 minutes after the water begins to boil. Give units with your answer. M (x) depicts the world production of milk (in million metric tons) where x is the number of years after 1990. million metric tons 10 12 14 years after 1990 02468 Using a ruler, draw a line connecting the points at x = 2 and x = 8 on the graph. Find the slope of this line. Show all of your work. b. Interpret your answer to (a) in a sentence of practical interpretation. c. Find M '(4). Show all of your work. 1 d. Interpret your answer to (c) in a sentence of practical interpretation. _______________________———————— 3. The equation B(h) = W points describes the body—mass index (BMI) for women where h is a woman’s height in inches, 50 S h S 75 . Checkpoint: B(51) = 32.180. Use the Numerical Method to determine how quickly a woman’s BMI is changing when her height is 60 inches tall by completely filling out the table below. Round table entries to ' 3 i . decimal places. Close points Slope between 60 and Close pomts ‘ S ope etween 60 an , o o - left Close Point - ' Close Point a. How quickly is a woman’s BMI changing when her height is 60 inches tall? b. Find the percentage rate of change in the woman’s BMI when her height is 60 inches. 5. The graph of a function f (x) is given. Which of the following is the graph of f '(x) ? a. b. Problems from 102 T2 — Summer 2006 . .2 my) -: 3X +7x~5 6. Choose o_ne (circle your choice) of the following algebraic methods and use it to find f '(x) . If you choose the 4-Step Method, clearly indicate the four steps. For either method, use proper mathematical notation in your work. - The 4—Step Method OR The Limit Definition of a Derivative hm f(x+ h)-f(x) h-m h 7. Find the derivative for each of the following fimctions. Use proper notation. You will be penalized for incorrect use of "=” signs or for failure to use derivative notation for each derivative. If there is an algebraic transformation necessary, no credit will be awarded IF the transformation is not made. 3' f(x)=5+65+5x+x5 b. g(x)=<‘/§+e"+4lnx 9 4_~ 3 6- f(x)=3(o.o2")+5x4 d. g(x)=5x +:: x e. h(x) =—2— ...
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Test 2 Problems - Name: b. 755mm REVIEW W(t) is the amount...

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