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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).

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.5: Inequalities
Problem 2TU
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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).
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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