5 Steps to a 5 AP Calculus AB & BC by William Ma

Author:William Ma
Language: eng
Format: epub
Publisher: McGraw-Hill Education
Published: 2011-01-06T16:00:00+00:00

Figure 9.8-3

Step 4: Determine acceleration. (See Figure 9.8-4.)

Figure 9.8-4

Step 5: Draw the motion of the particle. (See Figure 9.8-5.) s (0) = 1, s (1) = − 1, and s (2) = − 3.

Figure 9.8-5

The particle is initially at 1 (t = 0). It moves to the left speeding up until t = 1, when it reaches − 1. Then it continues moving to the left, but slowing down until t = 2 at − 3. The particle reverses direction, moving to the right and speeding up indefinitely.

14. Linear approximation: y = f(a) + f′(a)(x − a) a = π f(x) = sin x and f(π) = sin π = 0 f′ (x) = cos x and f′ (π) = cos π = − 1. Thus, y = 0 + (− 1)(x − π) or y = − x + π.

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