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Math
Calculus
Calculus: Early Transcendentals, Enhanced Etext
Chapter 6.1, Problem 52ES
Chapter 6.1, Problem 52ES
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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6.1 Area Between Two Curves
6.2 Volumes By Slicing; Disks And Washers
6.3 Volumes By Cylindrical Shells
6.4 Length Of A Plane Curve
6.5 Area Of A Surface Of Revolution
6.6 Work
6.7 Moments, Centers Of Gravity, And Centroids
6.8 Fluid Pressure And Force
6.9 Hyperbolic Functions And Hanging Cables
Chapter Questions
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Problem 1QCE: An integral expression for the area of the region between the curves y=203x2 y and y=ex and bounded...
Problem 2QCE: An integral expression for the area of the parallelogram bounded by y=2x+8,y=2x3,x=1, and x=5 is ....
Problem 3QCE: (a) The points of intersection for the circle x2+y2=4 and the line y=x+2 are and . (b) Expressed...
Problem 4QCE
Problem 1ES: Find the area of the shaded region.
Problem 2ES: Find the area of the shaded region.
Problem 3ES: Find the area of the shaded region.
Problem 4ES: Find the area of the shaded region.
Problem 5ES: Find the area of the shaded region by (a) integrating with respect to x and (b) integrating with...
Problem 6ES: Find the area of the shaded region by (a) integrating with respect to x and (b) integrating with...
Problem 7ES: Sketch the region enclosed by the curves and find its area. y=x2,y=x,x=14,x=1
Problem 8ES: Sketch the region enclosed by the curves and find its area. y=x34x,y=0,x=0,x=2
Problem 9ES: Sketch the region enclosed by the curves and find its area. y=cos2x,y=0,x=/4,x=/2
Problem 10ES: Sketch the region enclosed by the curves and find its area. y=sec2x,y=2,x=/4,x=/4
Problem 11ES: Sketch the region enclosed by the curves and find its area. x=siny,x=0,y=/4,y=3/4
Problem 12ES: Sketch the region enclosed by the curves and find its area. x2=y,x=y2
Problem 13ES: Sketch the region enclosed by the curves and find its area. y=ex,y=e2x,x=0,x=ln2
Problem 14ES: Sketch the region enclosed by the curves and find its area. x=1/y,x=0,y=1,y=e
Problem 15ES: Sketch the region enclosed by the curves and find its area. y=21+x2,y=x
Problem 16ES: Sketch the region enclosed by the curves and find its area. y=11x2,y=2
Problem 17ES: Sketch the region enclosed by the curves and find its area. y=2+x1,=15x+7
Problem 18ES
Problem 19ES
Problem 20ES
Problem 21ES: Use a graphing utility, where helpful, to find the area of the region enclosed by the curves....
Problem 22ES
Problem 23ES: Use a graphing utility, where helpful, to find the area of the region enclosed by the curves....
Problem 24ES: Use a graphing utility, where helpful, to find the area of the region enclosed by the curves....
Problem 25ES: Use a graphing utility, where helpful, to find the area of the region enclosed by the curves....
Problem 26ES: Use a graphing utility, where helpful, to find the area of the region enclosed by the curves....
Problem 27ES: Determine whether the statement is true or false. Explain your answer. [In each exercise, assume...
Problem 28ES: Determine whether the statement is true or false. Explain your answer. [In each exercise, assume...
Problem 29ES: Determine whether the statement is true or false. Explain your answer. [In each exercise, assume...
Problem 30ES: Determine whether the statement is true or false. Explain your answer. [In each exercise, assume...
Problem 31ES: Estimate the value of k0k1 so that the region enclosed by y=1/1x2,y=x,x=0, and x=k has an area of 1...
Problem 32ES: Estimate the area of the region in the first quadrant enclosed by y=sin2x and y=sin1x .
Problem 33ES
Problem 34ES
Problem 35ES: Find a horizontal line y = k that divides the area between y=x2 and y=9 into two equal parts.
Problem 36ES: Find a vertical line x=k that divides the area enclosed by x=y,x=2, and y=0 into two equal parts.
Problem 37ES: (a) Find the area of the region enclosed by the parabola y=2xx2 and the x-axis . (b) Find the value...
Problem 38ES: Find the area between the curve y=sinx and the line segment joining the points 0,0 and 5/6,1/2 on...
Problem 39ES: Use Newton’s Method (Section 4.7 ), where needed, to approximate the x- coordinates of the...
Problem 40ES
Problem 41ES: Use Newton’s Method (Section 4.7 ), where needed, to approximate the x- coordinates of the...
Problem 42ES: Use Newton’s Method (Section 4.7 ), where needed, to approximate the x- coordinates of the...
Problem 43ES: Find the area of the region that is enclosed by the curves y=x21 and y=2sinx .
Problem 44ES: Referring to the accompanying figure, use a CAS to estimate the value of k so that the areas of the...
Problem 45ES: Two racers in adjacent lanes move with velocity functions 1tm/s and 2tm/s , respectively. Suppose...
Problem 46ES: The accompanying figure shows acceleration versus time curves for two cars that move along a...
Problem 47ES
Problem 48ES: The accompanying figure shows the rate at which transdermal medication is absorbed into the...
Problem 49ES: Find the area of the region enclosed between the curve x1/2+y1/2=a1/2 and the coordinate axes.
Problem 50ES: Show that the area of the ellipse in the accompanying figure is ab .
Problem 51ES: Suppose that f and g are continuous on a,b but that the graphs of y=fx and y=gx cross several times....
Problem 52ES
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