# Suppose that f x and f prime x are continuous

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3. (4 points) Suppose thatf(x) andfprime(x) are continuous functions on the interval [1,3].Assume thatf(3) = 11,fprime(3) =-15 andintegraldisplay3fprime(x)dx=-2. Find the value off(1). Circle the correct answer. Thereis only one and there is no partial credit.1(i) -13(ii) 13(iii) 9(iv) 2(v) None of the previous
4. Suppose thatN(x) is the number of tablet PCs sold, in thousands, when the selling price of each tabletPC isxhundred dollars.(a) (2 points) Give the units ofNprime(x):(b) (2 points) Write a complete sentence with units explaining the practical meaning of the followingstatement:dNdx=-35atx= 7.Do not use words such as per, rate, slope, derivative or any term relating to calculus. Be brief (25words or less) and precise.5. (4 points) The revenue of a candy company is \$98,000 when it sells 5500 boxes of candy, and its marginalrevenue is \$3.20 per box when it sells 5500 boxes of candy. Use this information to give the best estimateof the company’s revenue when it sells 6000 boxes of candy. Circle the correct answer.
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MATH 1231 Final Exam Fl2012Name:6. (4 points) The functiong(x) has a critical point atx= 0 andx= 6. The DERIVATIVE ofg(x) is equaltox3-6x2, i.e.,gprime(x) =x3-6x2. Circle the correct statement for each critical point. Show all workincluding the values of any functions you evaluate.x= 0 is a(i) relative maximum(ii) relative minimum(iii) neitherWORK:x= 6 is a
WORK:7. (6 points) FindF(x), the specific antiderivative of the functionf(x) =x4-3x+45,such thatF(1) = 5. Show all your work, especially the equation you must solve. Be sure to write outyour final formula forF(x) clearly and fully.F(x) =4
MATH 1231 Final Exam Fl2012Name:
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