MATH 121 : MATH130_BOYLE-M_SPRING2015_0101_FINAL_EXAM
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What is the linear approximation to h(3. 02)? (this is also called the di erential or tangent line approximation. ) Do not simplify your answer. (b) (14pts) suppose for a certain kind of rectangular frame, the cost of the frame is per foot for the vertical sides and per foot for the horizontal sides. What is the largest area the frame could enclose at a cost of : (15 points) (a) compute the following limits. 1 x2 + x x dx (b) z 4. 1 e 1/x x2 dx (c) z /4 x=0 cos x. 8 : (15 points) (a) suppose the rate of infection of a certain disease (in units of people per month) is modeled over a period of six months by the function f (t) = 400(6t t2), where t is the time (in months) after the disease breaks out. Xi=1 p5 + i(3/n) (3/n) and these sums converge to q as n .
