Pre calc 4 questions, math homework help


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Review Homework Set 1: PreCalculus – 1650.130
You must show work for credit; answers without support will receive no credit. You do not need to include
this sheet when you turn in your homework. Please write your homework on a clean sheet of paper and
include your full name and the recitation section you are in, (1650.131, 1650.133 or 1650.134). If you use
more than one sheet of paper your sheets must be stapled together.
This assignment covers sections 1.7, 1.10, and 1.12. This assignment will be due at the rst recitation
meeting of the week 2/29 – 3/04.
1. Franklin has $3.00 in nickels, dimes, and quarters. If he has twice as many dimes as quarters, and ve
more nickels than dimes, how many coins of each type does he have?
2. Using calculus, it can be shown that if a ball is thrown upwards with an initial velocity of 16 ft/s from
the top of a building 128 ft high, then its height h above the ground t seconds later will be
h(t) = 128 + 16t − 16t2
During what time interval will the ball be at least 32 ft above the ground?
3. Find an equation of the line that satis es the given conditions. Your answers should be in slope-intercept
a) x-intercept of -8; y -intercept of 6
b) Through (1,1) and perpendicular to the line 4x − 8y = 1
c) Through (4,5), and parallel to the y -axis
4. The power P obtained from a windmill is directly proportional to the cube of the wind speed s.
a) Write an equation that expresses this variation.
b) Find the constant of proportionality for a windmill that produces 96 watts of power when the wind is
blowing at 20 mi/hr.
c) How much power will this windmill produce if the wind speed increases to 30 mi/hr?

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