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Math
Calculus
Calculus: Early Transcendentals, Enhanced Etext
Chapter 10, Problem 1RE
Chapter 10, Problem 1RE
BUY
Calculus: Early Transcendentals, Enhanced Etext
12th Edition
ISBN:
9781119777984
Author: Howard Anton; Irl C. Bivens; Stephen Davis
Publisher:
Wiley Global Education US
expand_less
1 Limits And Continuity
2 The Derivative
3 Topics In Differentiation
4 The Derivative In Graphing And Applications
5 Integration
6 Applications Of The Definite Integral In Geometry, Science, And Engineering
7 Principles Of Integral Evaluation
8 Mathematical Modeling With Differential Equations
9 Infinite Series
10 Parametric And Polar Curves; Conic Sections
11 Three-dimensional Space; Vectors
12 Vector-valued Functions
13 Partial Derivatives
14 Multiple Integrals
15 Topics In Vector Calculus
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10.1 Parametric Equations; Tangent Lines And Arc Length For Parametric Curves
10.2 Polar Coordinates
10.3 Tangent Lines, Arc Length, And Area For Polar Curves
10.4 Conic Sections
10.5 Rotation Of Axes; Second-degree Equations
10.6 Conic Sections In Polar Coordinates
Chapter Questions
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Problem 1RE
Problem 2RE: (a) Suppose that the equations x=ft,y=gt describe a curve C as t increases from 0 to 1. Find...
Problem 3RE: (a) Find the slope of the tangent line to the parametric curve x=t2+1,y=t/2att=1andt=1 without...
Problem 4RE: Find dy/dx and d2y/dx2att=2 for the parametric curve x=12t2,y=13t3.
Problem 5RE: Find all values of t at which a tangent line to the parametric curve x=2cost,y=4sint is...
Problem 6RE: Find the exact arc length of the curve x=15t4,y=4t510t1
Problem 7RE: In each part, find the rectangular coordinates of the point whose polar coordinates are given....
Problem 8RE
Problem 9RE: In each part, use a calculating utility to approximate the polar coordinates of the point whose...
Problem 10RE
Problem 11RE: In each part, identify the curve by converting the polar equation to rectangular coordinates. Assume...
Problem 12RE
Problem 13RE
Problem 14RE
Problem 15RE
Problem 16RE: Sketch the curve in polar coordinates. r2=sin2
Problem 17RE: Sketch the curve in polar coordinates. r=3cos
Problem 18RE
Problem 19RE
Problem 20RE
Problem 21RE: A parametric curve of the form x=acott+bcost,y=a+bsint0t2 is called a conchoid of Nicomedes (see the...
Problem 22RE: (a) Find the arc length of the polar curve r=1/for/4/2. (b) What can you say about the arc length of...
Problem 23RE: Find the area of the region that is enclosed by the cardioid r=2+2cos.
Problem 24RE
Problem 25RE: Find the area of the region that is common to the circles r=1,r=2cos,andr=2sin.
Problem 26RE: Find the area of the region that is inside the cardioid r=a1+sin and outside the circle r=asin.
Problem 27RE
Problem 28RE
Problem 29RE: Sketch the parabola, and label the focus, vertex, and directrix. y+12=7x4
Problem 30RE: Sketch the parabola, and label the focus, vertex, and directrix. x122=2y1
Problem 31RE: Sketch the ellipse, and label the foci, the vertices, and the ends of the minor axis. x24+y225=1
Problem 32RE
Problem 33RE: Sketch the ellipse, and label the foci, the vertices, and the ends of the minor axis. 9x12+16y32=144
Problem 34RE: Sketch the ellipse, and label the foci, the vertices, and the ends of the minor axis. 3x+22+4y+12=12
Problem 35RE
Problem 36RE
Problem 37RE: Sketch the hyperbola, and label the vertices, foci, and asymptotes. x229y424=1
Problem 38RE
Problem 39RE: Find an equation for the conic described. A parabola with vertex (0, 0) and focus 0,4.
Problem 40RE
Problem 41RE: Find an equation for the conic described. A hyperbola with vertices 0,3 and asymptotes y=x.
Problem 42RE: It can be shown in the accompanying figure that hanging cables form parabolic arcs rather than...
Problem 43RE
Problem 44RE: Mickey Mantle is recognized as baseball's unofficial king of long home runs. On April 17, 1953...
Problem 45RE
Problem 46RE
Problem 47RE: Rotate the coordinate axes to remove the xy-term, and then name the conic. 45x2+45xy+5y2+5x10y=0
Problem 48RE: Rotate the coordinate axes to show that the graph of 17x2312xy+108y2+1080x1440y+4500=0 is a...
Problem 49RE
Problem 50RE
Problem 51RE
Problem 52RE: Use the parametric equations x=acost,y=bsint to show that the circumference C of an ellipse with...
Problem 53RE: Use Simpson's rule or the numerical integration capability of a graphing utility to approximate the...
Problem 54RE: (a) Calculate the eccentricity of the Earth's orbit, given that the ratio of the distance between...
Problem 55RE
Problem 56RE
Problem 1MC
Problem 2MC
Problem 3MC
Problem 4MC
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