¹.8 The point P(25, 7) lies on the curve y = √2+2. Let Q be the point (a, √ + 2). a.) Find the slope of the secant line PQ for the following values of a. (Answers here should be correct to at least 6 places after the decimal point.) If x= 25.1, the slope of PQ is: If = 25.01, the slope of PQ is: If = 24.9, the slope of PQ is: If = 24.99, the slope of PQ is: b.) Based on the above results, estimate the slope of the tangent line to the curve at P(25, 7). Answer:
¹.8 The point P(25, 7) lies on the curve y = √2+2. Let Q be the point (a, √ + 2). a.) Find the slope of the secant line PQ for the following values of a. (Answers here should be correct to at least 6 places after the decimal point.) If x= 25.1, the slope of PQ is: If = 25.01, the slope of PQ is: If = 24.9, the slope of PQ is: If = 24.99, the slope of PQ is: b.) Based on the above results, estimate the slope of the tangent line to the curve at P(25, 7). Answer:
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.3: Linear Functions And Slope
Problem 103E
Related questions
Question
1.8
Transcribed Image Text:1.9 The point P(25, 7) lies on the curve y = √ + 2. Let Q be the point (x, √x + 2).
a.) Find the slope of the secant line PQ for the following values of a. (Answers here should be correct to at least 6 places after the decimal point.)
If x = 25.1, the slope of PQ is:
If x =
25.01, the slope of PQ is:
C
If x= 24.9, the slope of PQ is:
If x = 24.99, the slope of PQ is:
b.) Based on the above results, estimate the slope of the tangent line to the curve at P(25, 7).
Answer:
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 6 steps
Recommended textbooks for you
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill