Introduction to Derivatives ections: Read the paragraph. On a separate sheet of paper, answer the following. If you throw a ball, it will go up into the air, slowing down as it goes, then come down agai is out, the speed changes as it goes up as it reaches maximum height, and as it goes back do pose h(t) = 3 + 14t-5t² gives the height of the ball at time t. 1. Find h' (t) 2. Let to be a point on the curve h(t). Find mtan (to) 3. Compute for the following a. h' (1) b. h' (2) c. h' (3) d. h'(4) e. h' (5) 4. Compute for the following a. mtan (1) b. mtan (2) c. mtan (3) d. mtan (4) e. mtan (5) 5. In your own words, relate h' (t) at point t = to and mtan (to).
Introduction to Derivatives ections: Read the paragraph. On a separate sheet of paper, answer the following. If you throw a ball, it will go up into the air, slowing down as it goes, then come down agai is out, the speed changes as it goes up as it reaches maximum height, and as it goes back do pose h(t) = 3 + 14t-5t² gives the height of the ball at time t. 1. Find h' (t) 2. Let to be a point on the curve h(t). Find mtan (to) 3. Compute for the following a. h' (1) b. h' (2) c. h' (3) d. h'(4) e. h' (5) 4. Compute for the following a. mtan (1) b. mtan (2) c. mtan (3) d. mtan (4) e. mtan (5) 5. In your own words, relate h' (t) at point t = to and mtan (to).
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:Introduction to Derivatives
Directions: Read the paragraph. On a separate sheet of paper, answer the following.
If you throw a ball, it will go up into the air, slowing down as it goes, then come down again. It
turns out, the speed changes as it goes up as it reaches maximum height, and as it goes back down!
Suppose h(t) = 3 + 14t-5t² gives the height of the ball at time t.
1. Find h' (t)
2. Let to be a point on the curve h(t). Find mtan (to)
3. Compute for the following
a. h' (1)
b. h' (2)
c. h' (3)
d.
h'(4)
e. h' (5)
4. Compute for the following
a. mtan (1)
b. mtan (2)
c. mtan (3)
d. mtan (4)
e. mtan (5)
5. In your own words, relate h' (t) at point t = to and mtan (to).
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