Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Question
Chapter G, Problem 4PS
To determine
Draw a graph of the given curve and convert in to parametric form.
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Q.3 Find the approximate change in length of the hypotenuse of a right triangle where its legs change from 7
feet and 9 feet to 7.1 feet and 8.9 feet, respectively.
52. A golfer tees off on level ground, and hits the ball with an initial speed of 52 m/sec at an angle of 34°
above the horizontal. Choose a coordinate system with the origin at the point where the ball is struck.
a. Write parametric equations that model the path of the ball as a function of time t (in sec).
b. For how long will the ball be in the air before it hits the ground? Round to the nearest hundredth of
a second.
c. Approximate the horizontal distance that the ball travels before it hits the ground. Round to the
nearest foot.
d. When is the ball at its maximum height? Find the exact value and an approximation to the nearest
hundredth of a second.
e. What is the maximum height? Round to the nearest foot.
13.) Find the rectangular equation of the line given by the parametric equation below. Use problem number
12 to help you.
x = -t + 1
y = t2 – 1
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