Evaluate the average velocity of the rocket over the interval 240-256 3-4 Evaluate the average velocity of the rocket over the interval 252-256 3.5-4 Evaluate the average velocity of the rocket over the interval[ 255,84-056 =\.6 3.9-4 Evaluate the average velocity of the rocket over the interval ass.9984-25l6 3.99-4 Evaluate the average velocity of the rocket over the interval 256-240 =16 ニ %3D -16 4-5 Evaluate the average velocity of the rocket over the interval | 256-252 4-4.5 Evaluate the average velocity of the rocket over the interval [ 266-255.8u ー8 -1.6 Eyaluate the average yelocity of the rocket over the interval

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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How do you do problems i and j?
1. Let r(t) = -16r + 128t represent the height of a rocket shot upwards by a Calc 1 student to
celebrate surviving the first exam.
a) Evaluate the average velocity of the rocket over the interval [3, 4].
240-256
3-4
b) Evaluate the average velocity of the rocket over the interval [3.5, 4].
252-256
3,5-4
c) Evaluate the average velocity of the rocket over the interval [3.9, 4].
255,84-056
3.9-4
d) Evaluate the average velocity of the rocket over the interval [3.99, 4].
ass.9984-25o
3.99-4
e) Evaluate the average velocity of the rocket over the interval [4, 5].
256-240
=16
8.
=\.6
-16
4-5
f) Evaluate the average velocity of the rocket over the interval [4, 4.5].
256-252
ー8
4-4.5
g) Evaluate the average velocity of the rocket over the interval [4, 4.1].
286-255.8u
-1.6
4-4.1.
h) Evaluate the average velocity of the rocket over the interval [4, 4.01].
a56-255.9984
4-4.01
-0.16
ニ
r(4+h)-r(4)
i) Evaluate lim
h->0
j) What is the rocket's instantaneous velocity at t= 4?
Transcribed Image Text:1. Let r(t) = -16r + 128t represent the height of a rocket shot upwards by a Calc 1 student to celebrate surviving the first exam. a) Evaluate the average velocity of the rocket over the interval [3, 4]. 240-256 3-4 b) Evaluate the average velocity of the rocket over the interval [3.5, 4]. 252-256 3,5-4 c) Evaluate the average velocity of the rocket over the interval [3.9, 4]. 255,84-056 3.9-4 d) Evaluate the average velocity of the rocket over the interval [3.99, 4]. ass.9984-25o 3.99-4 e) Evaluate the average velocity of the rocket over the interval [4, 5]. 256-240 =16 8. =\.6 -16 4-5 f) Evaluate the average velocity of the rocket over the interval [4, 4.5]. 256-252 ー8 4-4.5 g) Evaluate the average velocity of the rocket over the interval [4, 4.1]. 286-255.8u -1.6 4-4.1. h) Evaluate the average velocity of the rocket over the interval [4, 4.01]. a56-255.9984 4-4.01 -0.16 ニ r(4+h)-r(4) i) Evaluate lim h->0 j) What is the rocket's instantaneous velocity at t= 4?
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