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Figure 3 Figure 3 shows the curve y = x² - 2x which crosses the x - axis at the origin and at (2, 0). Line I is also shown which is a normal to the curve at (2,0). a) Find the equation of line 1. Give your answer in the form y = mx + c. b) Find the area, which is shaded on the diagram, that is bounded by the curve y = x² - 2x, line 1 and the y -axis. Point P lies on the curve and the tangent to the curve at point P is parallel to line 1. c) Find the coordinates of point P.

Figure 3 Figure 3 shows the curve y = x² - 2x which crosses the x - axis at the origin and at (2, 0). Line I is also shown which is a normal to the curve at (2,0). a) Find the equation of line 1. Give your answer in the form y = mx + c. b) Find the area, which is shaded on the diagram, that is bounded by the curve y = x² - 2x, line 1 and the y -axis. Point P lies on the curve and the tangent to the curve at point P is parallel to line 1. c) Find the coordinates of point P.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter6: Fractions
Section6.1: Simplifying Fractions
Problem 35WE
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Figure 3 axis at the Figure 3 shows the curve y = x² - 2x which crosses the x- origin and at (2, 0). Line I is also shown which is a normal to the curve at (2, 0). a) Find the equation of line 1. Give your answer in the form y = mx + c. b) Find the area, which is shaded on the diagram, that is bounded by the curve y = x² - 2x, line 1 and the y-axis. Point P lies on the curve and the tangent to the curve at point P is parallel to line 1. c) Find the coordinates of point P. h
Transcribed Image Text:Figure 3 axis at the Figure 3 shows the curve y = x² - 2x which crosses the x- origin and at (2, 0). Line I is also shown which is a normal to the curve at (2, 0). a) Find the equation of line 1. Give your answer in the form y = mx + c. b) Find the area, which is shaded on the diagram, that is bounded by the curve y = x² - 2x, line 1 and the y-axis. Point P lies on the curve and the tangent to the curve at point P is parallel to line 1. c) Find the coordinates of point P. h
Question 12 y Figure 3 y = x² = 2x (2,0) 1 x M
Transcribed Image Text:Question 12 y Figure 3 y = x² = 2x (2,0) 1 x M
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