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Practice questions for chapter 2 of a college-level mathematics course, covering topics such as distance between points, midpoint of line segments, circles, functions, and their derivatives, as well as graphing. Students are asked to find distances, centers and radii of circles, slope-intercept forms of lines, and maximum and minimum values of quadratic functions.
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Math 121, Practice Questions for Chapter 2
f (x + h) โ f (x) h
(a) f (x) = (^) (x + 2)x^ โ+ 3 16 โ x 2.
(b) g(x) = โx โ 4 (c) h(x) = โ 4 โ x
(d) k(x) = (^) (x + 2)(3(x^ โx^ 1)โ 11)
C(x) = 875 + 0. 75 x
and it charges $12.00 per parcel to send each parcel. Find: (a) the revenue function; (b) the profit function; (c) the minimum number of parcels the company must ship on a flight to break even.
h(t) = โ 16 t^2 + 64t + 80.
(a) Find the maximum height of the projectile. (b) Find the time t when the projectile reaches its maximum height. (c) Find the time t when the projectile hits the ground (has a height of 0 feet).
(d) The difference quotient h(1 1 .01). 01 โโ^ h. 99 (.99) gives the average velocity of the projectile for
. 99 โค t โค 1 .01. Compute this difference quotient. Do you think it would provide a good estimate of the instantaneous velocity of the projectile when t = 1?
C(x) = 180 + 2. 50 x