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The point P(1, 0) lies on the curve y = sin( (1) 2 (a) If Q is the point (x, sin(¹77)), find the slope of the secant line PQ (correct to four decimal places) for the following values of x. (ii) 1.5 (iii) 1.4 (iv) 1.3 (v) 1.2 (vi) 1.1 17π (vii) 0.5 X

The point P(1, 0) lies on the curve y = sin( (1) 2 (a) If Q is the point (x, sin(¹77)), find the slope of the secant line PQ (correct to four decimal places) for the following values of x. (ii) 1.5 (iii) 1.4 (iv) 1.3 (v) 1.2 (vi) 1.1 17π (vii) 0.5 X

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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The point P(1, 0) lies on the curve y (a) If Q is the point (x, sin(¹77)). (1) 2 (ii) 1.5 (iii) 1.4 (iv) 1.3 (v) 1.2 (vi) 1.1 (vii) 0.5 = sin in (¹777). find the slope of the secant line PQ (correct to four decimal places) for the following values of x.
Transcribed Image Text:The point P(1, 0) lies on the curve y (a) If Q is the point (x, sin(¹77)). (1) 2 (ii) 1.5 (iii) 1.4 (iv) 1.3 (v) 1.2 (vi) 1.1 (vii) 0.5 = sin in (¹777). find the slope of the secant line PQ (correct to four decimal places) for the following values of x.
> Section... (ix) 0.7 (x) 0.8 (xi) 0.9 Need Help? ATA Do the slopes appear to be approaching a limit? As x approaches 1, the slopes do not appear to be approaching any particular value O Submit Answer O Read It webassign.net Viewing Saved Work Revert to Last Response WE G (b) Use a graph of the curve to explain why the slopes of the secant lines in part (a) are not close to the slope of the tangent line at P. We see that problems with estimation are caused by the frequent oscillations of the graph. The tangent is so steep at P that we need to take x-values closer to 1 in order to get accuräte estimates of it's slope. (c) By choosing appropriate secant lines, estimate the slope of the tangent line at P. (Round your answer to two decimal places.) A + 9 11₁
Transcribed Image Text:> Section... (ix) 0.7 (x) 0.8 (xi) 0.9 Need Help? ATA Do the slopes appear to be approaching a limit? As x approaches 1, the slopes do not appear to be approaching any particular value O Submit Answer O Read It webassign.net Viewing Saved Work Revert to Last Response WE G (b) Use a graph of the curve to explain why the slopes of the secant lines in part (a) are not close to the slope of the tangent line at P. We see that problems with estimation are caused by the frequent oscillations of the graph. The tangent is so steep at P that we need to take x-values closer to 1 in order to get accuräte estimates of it's slope. (c) By choosing appropriate secant lines, estimate the slope of the tangent line at P. (Round your answer to two decimal places.) A + 9 11₁
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