Prof. S. Brick Math 120
Summer ’03 Applied Calculus; Quiz 5 section 21
0. Print your name:
1. Given that y=x2
−3x+ 1 has derivative y0= 2x−3, find the equation of the tangent
line at x=−1 and graph both the original function and the tangent line on a single graph.
2. Suppose a cup of very hot coffee is placed in a room. Using Newton’s Law of Cooling,
sketch a possible graph for T(t), the temperature of the coffee as a function of time. Also
sketch a graph of T0(t).
3. You buy a new car. The gas mileage you get depends on how fast you drive. Let m(v)
be the gas mileage you get, where vis the (average) speed you drive. Find the units of v,
m(v) and m0(v). Express in English what m(70) = 27 and m0(70) = −0.5 means.