MATH 1151 Lecture Notes - Lecture 34: National Institutes Of Health, Coset

[3] 5. (a) Let f(T) = 1 + Write the Riemann sum for f over the interval (0, 1) using a uniform partition of (0,1) into 5 equal subintervals and mid-points as your sample points. There is no need to simplify your answer. [3] (b) If f is the function defined by f Jo 2 + sint dt, find f'(2). (c) Sketch the region in the first quadrant bounded by: y==y= VT, 1=1, r=e, and then find its area.

Find a formula for the described function.

An open rectangular box with volume 4 m³ has a square base. Express the surface area SA of the box as a function of the length of a side of the base, x.
SA =
State the domain of SA. (Enter your answer in interval notation.)

2)The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $422 to drive 440 mi and in June it cost her $506 to drive 720 mi.

(a) Express the monthly cost C as a function of the distance driven d, assuming that a linear relationship gives a suitable model.
C(d) =

(b) Use part (a) to predict the cost of driving 1600 miles per month.
$