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2. Ali is seated on the line which is normal to the curve f(x) = x² - 2x + 4 at the point (1, 3). 3. Calvin is located on the line tangent to the curve y = -x² + 10x-25 at the point (5, 0). 4. Elijah sits on the line tangent to y=x³ + x² at (3, 36).

2. Ali is seated on the line which is normal to the curve f(x) = x² - 2x + 4 at the point (1, 3). 3. Calvin is located on the line tangent to the curve y = -x² + 10x-25 at the point (5, 0). 4. Elijah sits on the line tangent to y=x³ + x² at (3, 36).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 35E
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Activity 1: Answer the following: CLUES: 1. All students are located at integral coordinates in the xy-plane. The x-coordinates belong to the set {-2, - 1, 0, 1, 2}, and the y-coordinates belong to the set {-1, 0, 1, 2, 3). 2. Ali is seated on the line which is normal to the curve f(x) = x² - 2x + 4 at the point (1, 3). 3. Calvin is located on the line tangent to the curve y = -x² + 10x - 25 at the point (5, 0). 4. Elijah sits on the line tangent to y=x³ + x² at (3, 36). 5. Hance sits at one of the points on the curve y =2x³ -3x² -12x +20 where the tangent is parallel to the x- axis. 6. Kurt is located on the tangent line to y=3x²-x at x = 1. 7. Lubna sits on the line which is tangent to the curve y = 4x² - 22x + 35 at the point (3, 5). 8. Maryam sits at the point on the curve y=(x+2)² where the normal to that curve is parallel to the y-axis. 9. Rita sits on the line normal to the curve y=x²-3x+2 at x = 1. 10. The line tangent to a curve at a point (x1, y1) is y = 2x-2. The normal to that curve at the same point passes through (11,-5). Titan sits at the point (x1, y1). 11. Zoey is located on the line tangent to y=2x+5/x² -3 at x = 1.
Transcribed Image Text:Activity 1: Answer the following: CLUES: 1. All students are located at integral coordinates in the xy-plane. The x-coordinates belong to the set {-2, - 1, 0, 1, 2}, and the y-coordinates belong to the set {-1, 0, 1, 2, 3). 2. Ali is seated on the line which is normal to the curve f(x) = x² - 2x + 4 at the point (1, 3). 3. Calvin is located on the line tangent to the curve y = -x² + 10x - 25 at the point (5, 0). 4. Elijah sits on the line tangent to y=x³ + x² at (3, 36). 5. Hance sits at one of the points on the curve y =2x³ -3x² -12x +20 where the tangent is parallel to the x- axis. 6. Kurt is located on the tangent line to y=3x²-x at x = 1. 7. Lubna sits on the line which is tangent to the curve y = 4x² - 22x + 35 at the point (3, 5). 8. Maryam sits at the point on the curve y=(x+2)² where the normal to that curve is parallel to the y-axis. 9. Rita sits on the line normal to the curve y=x²-3x+2 at x = 1. 10. The line tangent to a curve at a point (x1, y1) is y = 2x-2. The normal to that curve at the same point passes through (11,-5). Titan sits at the point (x1, y1). 11. Zoey is located on the line tangent to y=2x+5/x² -3 at x = 1.
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