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The point P(9,7) lies on the curve y = √x + 4. Let Q be the point (x, √x+4). 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 = 9.1, the slope of PQ is: If a = 9.01, the slope of PQ is: 9. If x= 8.9, the slope of PQ is: If x= 8.99, the slope of PQ is: 9- b.) Based on the above results, estimate the slope of the tangent line to the curve at P(9,7).

The point P(9,7) lies on the curve y = √x + 4. Let Q be the point (x, √x+4). 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 = 9.1, the slope of PQ is: If a = 9.01, the slope of PQ is: 9. If x= 8.9, the slope of PQ is: If x= 8.99, the slope of PQ is: 9- b.) Based on the above results, estimate the slope of the tangent line to the curve at P(9,7).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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The point P(9,7) lies on the curve y = √x + 4. Let Q be the point (x, √x+4). a.) Find the slope of the secant line PQ for the following values of x. (Answers here should be correct to at least 6 places after the decimal point.) If x = 9.1, the slope of PQ is: If a = 9.01, the slope of PQ is: x If x = 8.9, the slope of PQ is: If x = 8.99, the slope of PQ is: x= b.) Based on the above results, estimate the slope of the tangent line to the curve at P(9,7). Answer: → →
Transcribed Image Text:The point P(9,7) lies on the curve y = √x + 4. Let Q be the point (x, √x+4). a.) Find the slope of the secant line PQ for the following values of x. (Answers here should be correct to at least 6 places after the decimal point.) If x = 9.1, the slope of PQ is: If a = 9.01, the slope of PQ is: x If x = 8.9, the slope of PQ is: If x = 8.99, the slope of PQ is: x= b.) Based on the above results, estimate the slope of the tangent line to the curve at P(9,7). Answer: → →
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