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Math
Calculus
Calculus, Early Transcendentals
Chapter 10.2, Problem 2DP
Chapter 10.2, Problem 2DP
BUY
Calculus, Early Transcendentals
9th Edition
ISBN:
9781337613927
Author: Stewart
Publisher:
CENGAGE L
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1 Functions And Models
2 Limits And Derivatives
3 Differentiation Rules
4 Applications Of Differentiation
5 Integrals
6 Applications Of Integration
7 Techniques Of Integration
8 Further Applications Of Integration
9 Differential Equations
10 Parametric Equations And Polar Coordinates
11 Sequences, Series, And Power Series
12 Vectors And The Geometry Of Space
13 Vector Functions
14 Partial Derivatives
15 Multiple Integrals
16 Vector Calculus
A Numbers, Inequalities, And Absolute Values
B Coordinate Geometry And Lines
C Graphs Of Second-degree Equations
D Trigonometry
E Sigma Notation
F Proofs Of Theorems
G The Logarithm Defined As An Integral
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10.1 Curves Defined By Parametric Equations
10.2 Calculus With Parametric Curves
10.3 Polar Coordinates
10.4 Calculus In Polar Coordinates
10.5 Conic Sections
10.6 Conic Sections In Polar Coordinates
Chapter Questions
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Problem 1E: Find dx/dt,dy/dt, and dy/dx. 1. x=2t3+3t,y=4t5t2
Problem 2E: Find dx/dt,dy/dt, and dy/dx. 2. x=tlnt,y=t2t2
Problem 3E
Problem 4E
Problem 5E: Find the slope of the tangent to the parametric curve at the indicated point. 5. x=t2+2t,y=2t2t
Problem 6E: Find the slope of the tangent to the parametric curve at the indicated point. 6. x=t+cost,y=t+sint
Problem 7E: Find an equation of the tangent to the curve at the point corresponding to the given value of the...
Problem 8E: Find an equation of the tangent to the curve at the point corresponding to the given value of the...
Problem 9E: Find an equation of the tangent to the curve at the point corresponding to the given value of the...
Problem 10E: Find an equation of the tangent to the curve at the point corresponding to the given value of the...
Problem 11E: Find an equation of the tangent to the curve at the given point by two methods: (a) without...
Problem 12E: Find an equation of the tangent to the curve at the given point by two methods: (a) without...
Problem 13E: Find an equation of the tangent to the curve at the given point. Then graph the curve and the...
Problem 14E: Find an equation of the tangent to the curve at the given point. Then graph the curve and the...
Problem 15E: Find dy/dx and d2y/dx2. For which values of t is the curve concave upward? 11. x = t2 + 1, y = t2 +...
Problem 16E: Find dy/dx and d2y/dx2. For which values of t is the curve concave upward? 12. x = t3 + 1, y = t2 t
Problem 17E: Find dy/dx and d2y/dx2. For which values of t is the curve concave upward? 13. x = et, y = tet
Problem 18E: Find dy/dx and d2y/dx2. For which values of t is the curve concave upward? 14. x = t2 + 1, y = et 1
Problem 19E: Find dy/dx and d2y/dx2. For which values of t is the curve concave upward? 15. x = t ln t, y = t +...
Problem 20E: Find dy/dx and d2y/dx2. For which values of t is the curve concave upward? 16. x = cos t, y = sin...
Problem 21E: Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing...
Problem 22E: Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing...
Problem 23E: Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing...
Problem 24E: Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing...
Problem 25E: Use a graph to estimate the coordinates of the rightmost point on the curve x = t t6, y = et. Then...
Problem 26E
Problem 27E: Graph the curve in a viewing rectangle that displays all the important aspects of the curve. 23. x =...
Problem 28E: Graph the curve in a viewing rectangle that displays all the important aspects of the curve. 24. x =...
Problem 29E: Show that the curve x = cos t, y = sin t cos t has two tangents at (0, 0) and find their equations....
Problem 30E
Problem 31E
Problem 32E
Problem 33E: At what point(s) on the curve x = 3t2 + 1, y = t3 1 does the tangent line have slope12?
Problem 34E: Find equations of the tangents to the curve x = 3t2 + 1, y = 2t3 + 1 that pass through the point (4,...
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E: Use the parametric equations of an ellipse, x = a cos , y = b sin , 0 2, to find the area that it...
Problem 40E
Problem 41E
Problem 42E: Let be the region enclosed by the loop of the curve in Example 1. (a) Find the area of . (b) If is...
Problem 43E
Problem 44E
Problem 45E
Problem 46E
Problem 47E
Problem 48E: Find the exact length of the curve. 42. x = et t, y = 4et/2, 0 t 2
Problem 49E: Find the exact length of the curve. 43. x = t sin t, y = t cos t, 0 t 1
Problem 50E: Find the exact length of the curve. 44. x = 3 cos t cos 3t, y = 3 sin t sin 3t, 0 t
Problem 51E: Graph the curve and find its exact length. 45. x = et cos t, y = et sin t, 0 t
Problem 52E: Graph the curve and find its exact length. 46. x=cost+ln(tan12t), y = sin t, /4 t 3/4
Problem 53E: Graph the curve x = sin t + sin 1.5t, y = cos t and find its length correct to four decimal places.
Problem 54E: Find the length of the loop of the curve x = 3t t3, y = 3t2.
Problem 55E
Problem 56E
Problem 57E
Problem 58E
Problem 59E
Problem 60E
Problem 61E
Problem 62E
Problem 63E
Problem 64E
Problem 65E: The curve shown in the figure is the astroid x=acos3 , y=asin3. (Astroids are explored in the...
Problem 66E
Problem 67E: Set up an integral that represents the area of the surface obtained by rotating the given curve...
Problem 68E
Problem 69E
Problem 70E
Problem 71E: Find the exact area of the surface obtained by rotating the given curve about the x-axis. 61. x =...
Problem 72E: Find the exact area of the surface obtained by rotating the given curve about the x-axis. 62. x =...
Problem 73E: Find the exact area of the surface obtained by rotating the given curve about the x-axis. 63. x = a...
Problem 74E
Problem 75E: Find the surface area generated by rotating the given curve about the y-axis. 65. x = 3t2, y = 2t3,...
Problem 76E
Problem 77E
Problem 78E
Problem 79E
Problem 80E
Problem 81E
Problem 82E
Problem 83E
Problem 84E: A cow is tied to a silo with radius r by a rope just long enough to reach the opposite side of the...
Problem 85E
Problem 1DP
Problem 2DP
Problem 3DP
Problem 4DP
Problem 5DP
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