20. Does the line that is normal to the curve y = x² + 2x - 3 at the point (1, 0) intersect the curve at any other point? If so, find the point. %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Q. 20

16. Prove that + = 1 touches the curve y = be-x/a at a point
where it cuts the y-axis.
17. Given that f(3) = -1 and f (3) = 5. Find the equation of tangent
line to the graph of y = f(x) at x = 3.
%3D
%3D
18. At what point of the curve y = 2x - x² is the slope equal to 4?
Find the equations of tangent and normal at this point.
%3D
19. Does the line that is tangent to the curve y = x at the point (1, 1)
intersect the curve at any other point? If so, find the point.
%3D
20. Does the line that is normal to the curve y
point (1, 0) intersect the curve at any other point? If so, find the point.
x2 + 2x – 3 at the
%3D
Transcribed Image Text:16. Prove that + = 1 touches the curve y = be-x/a at a point where it cuts the y-axis. 17. Given that f(3) = -1 and f (3) = 5. Find the equation of tangent line to the graph of y = f(x) at x = 3. %3D %3D 18. At what point of the curve y = 2x - x² is the slope equal to 4? Find the equations of tangent and normal at this point. %3D 19. Does the line that is tangent to the curve y = x at the point (1, 1) intersect the curve at any other point? If so, find the point. %3D 20. Does the line that is normal to the curve y point (1, 0) intersect the curve at any other point? If so, find the point. x2 + 2x – 3 at the %3D
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