1. Points P(1, 1) and Q(x, y) are on the graph of the function f(x) = x³ Complete the following table with the appropriate values: y-coordinate of Q the point Q(x, y) the slope of the secant line passing through points P and Q. Q(x, y) x 1.1 1.01 1.001 1.0001 Y Give your estimate of the value of the limit. m sec

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.3: Rates Of Change
Problem 25E
icon
Related questions
Question
1. Points P(1, 1) and Q(x, y) are on the graph of the function f(x) = 2³.
Complete the following table with the appropriate values:
y-coordinate of Q
the point Q(x, y)
the slope of the secant line passing through points P and Q.
y
Q(x, y)
x
1.1
1.01
1.001
1.0001
Give your estimate of the value of the limit.
2. Use the given values of to set up a table to evaluate the limit. Round your solutions to
eight decimal places.
sin 3x
lim
x0 x
x
-0.1
-0.01
-0.001
-0.0001
sin 3x
Give your estimate of the value of the limit.
x
0.1
m sec
0.01
0.001
0.0001
sin 3x
I
Transcribed Image Text:1. Points P(1, 1) and Q(x, y) are on the graph of the function f(x) = 2³. Complete the following table with the appropriate values: y-coordinate of Q the point Q(x, y) the slope of the secant line passing through points P and Q. y Q(x, y) x 1.1 1.01 1.001 1.0001 Give your estimate of the value of the limit. 2. Use the given values of to set up a table to evaluate the limit. Round your solutions to eight decimal places. sin 3x lim x0 x x -0.1 -0.01 -0.001 -0.0001 sin 3x Give your estimate of the value of the limit. x 0.1 m sec 0.01 0.001 0.0001 sin 3x I
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning