1. For the given position function below, make a table of average velocities and make a conjecture about the instantaneous velocity at the indicated time. (Be sure to only round at the end for your final answer. Round to 3 decimal places.) s(t) = -4.9t2 + 32t+ 21 at t = 3 Time Interval Average Velocity [3,4] [3,3.1] [3,3.01] [3,3.001] -2.3 0.211 2.6 [3,3.0001] 72.903-72.9 3.001-3 13 4.9(3)² + 32(3) +21=72.9 -4.9(4) + 32(4)+21=70.6 70.6-72.9 9-3 72.926-72.9 301-3 73.111-72.9 2.6 0.211 3.1-3 = -2.3 72.9-72.9 3.0001-3 -10 The accurate conjecture for instantaneous velocity at t = 3 is (Round to 1 decimal place.) 2. Use the graph of g below to evaluate the following. limg(x)= 2 x-5 limg(x)= 4 limg(x)=4 x-2 9(1)= 4 3- Ay 0+ 0 1 2 3 = g(x) S 6 0. X
1. For the given position function below, make a table of average velocities and make a conjecture about the instantaneous velocity at the indicated time. (Be sure to only round at the end for your final answer. Round to 3 decimal places.) s(t) = -4.9t2 + 32t+ 21 at t = 3 Time Interval Average Velocity [3,4] [3,3.1] [3,3.01] [3,3.001] -2.3 0.211 2.6 [3,3.0001] 72.903-72.9 3.001-3 13 4.9(3)² + 32(3) +21=72.9 -4.9(4) + 32(4)+21=70.6 70.6-72.9 9-3 72.926-72.9 301-3 73.111-72.9 2.6 0.211 3.1-3 = -2.3 72.9-72.9 3.0001-3 -10 The accurate conjecture for instantaneous velocity at t = 3 is (Round to 1 decimal place.) 2. Use the graph of g below to evaluate the following. limg(x)= 2 x-5 limg(x)= 4 limg(x)=4 x-2 9(1)= 4 3- Ay 0+ 0 1 2 3 = g(x) S 6 0. X
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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![1. For the given position function below, make a table of average velocities and make a
conjecture about the instantaneous velocity at the indicated time. (Be sure to only round at the
end for your final answer. Round to 3 decimal places.)
s(t) = -4.9t2 + 32t+ 21 at t = 3
Time Interval
Average Velocity
[3,4] [3,3.1] [3,3.01] [3,3.001]
-2.3 0.211 2.6
[3,3.0001]
72.903-72.9
3.001-3
13
4.9(3)² + 32(3) +21=72.9
-4.9(4) + 32(4)+21=70.6
70.6-72.9
9-3
72.926-72.9
301-3
73.111-72.9
2.6
0.211
3.1-3
=
-2.3
72.9-72.9
3.0001-3
-10
The accurate conjecture for instantaneous velocity at t = 3 is
(Round to 1 decimal place.)
2. Use the graph of g below to evaluate the following.
limg(x)=
2
x-5
limg(x)= 4
limg(x)=4
x-2
9(1)= 4
3-
Ay
0+
0 1 2
3
= g(x)
S
6
0.
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcdba5689-bc14-44c2-a025-6db7a798c6e6%2F6dc4794e-eb05-4be9-b1a2-706518b44ff6%2Fupp4mvk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. For the given position function below, make a table of average velocities and make a
conjecture about the instantaneous velocity at the indicated time. (Be sure to only round at the
end for your final answer. Round to 3 decimal places.)
s(t) = -4.9t2 + 32t+ 21 at t = 3
Time Interval
Average Velocity
[3,4] [3,3.1] [3,3.01] [3,3.001]
-2.3 0.211 2.6
[3,3.0001]
72.903-72.9
3.001-3
13
4.9(3)² + 32(3) +21=72.9
-4.9(4) + 32(4)+21=70.6
70.6-72.9
9-3
72.926-72.9
301-3
73.111-72.9
2.6
0.211
3.1-3
=
-2.3
72.9-72.9
3.0001-3
-10
The accurate conjecture for instantaneous velocity at t = 3 is
(Round to 1 decimal place.)
2. Use the graph of g below to evaluate the following.
limg(x)=
2
x-5
limg(x)= 4
limg(x)=4
x-2
9(1)= 4
3-
Ay
0+
0 1 2
3
= g(x)
S
6
0.
X
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