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1. A person B is located 350 meters east from a person A. Person A starts riding

ID: 2837867 • Letter: 1

Question

1. A person B is located 350 meters east from a person A. Person A starts riding a bike north at a rate of 5 m/ sec and 7 minutes later person B starts riding a bike south at a rate of 3 m /sec. At what rate is the distance separating the two people changing 25 minutes after person A starts riding?

3. Find the linearization of the function f(x)= sinx at a=0 and use it to approximate the numbers sin(-0.1) and sin(0.1). Are these approximations overestimate or underestimate

1. A person B is located 350 meters east from a person A. Person A starts riding a bike north at a rate of 5 m/ sec and 7 minutes later person B starts riding a bike south at a rate of 3 m /sec. At what rate is the distance separating the two people changing 25 minutes after person A starts riding? 2. Compute dy and triangle y for y= cos(x^2+1)-x, as x changes from 2 to 2.03 3. Find the linearization of the function f(x)= sinx at a=0 and use it to approximate the numbers sin(-0.1) and sin(0.1). Are these approximations overestimate or underestimate

Explanation / Answer

1.

t = (25 - 7) * 60
t = 1080 sec
yA = yo + vA t
yA = 5 * 7 * 60 + 5t
yA = 2100 + 5t
yB = -vB t

yB = -3t
(yA - yB)