find a positive value of k such that the area of the region enclosed between y= kcosx and y=kx^2 is 2 i graphed cosx and x^2 without the k, so you know to find the integral of -a to a

106,164 questions
1. math

A rancher wishes to use 86 ft of fencing to enclose a rectangular paddock and subdivide the region into three smaller areas. If the total enclosed area is 225 ft2, find the dimensions of the enclosed region.

asked by Ruth on November 4, 2013
2. math

A rancher wishes to use 86 ft of fencing to enclose a rectangular paddock and subdivide the region into three smaller areas. If the total enclosed area is 225 ft2, find the dimensions of the enclosed region.

asked by Ruth on November 4, 2013
3. calculus

find the value of m so that the line y = mx divides the region enclosed by y = 2x-x^2 and the x-axis into two regions with equal area i know that the area enclosed by y=2x-x^2 is 4/3 so half of that would be 2/3 however, i have no idea how to find the

asked by Anonymous on January 6, 2008
4. physics gauss law

In a spherical region, the voltage is measured to be spherically symmetrical, with V = VCr) = wrg • The constants, wand g, are positive. a. Find the radial electric field. b. Use Gauss' Law to find the charge enclosed in a sphere of radius r. c. Find the

asked by Eric on October 20, 2008
5. pre-calc

area of a rectangular region: a farmer wishes to create two rectangular regions bordering a river, by three fences perpendicular to the river and one connecting them. suppose that x represents the length of each of the three parallel pieces of fencing. she

asked by steph on November 10, 2011
6. Calculus 1

Let f be the function given by f(x)=3sqrt(x-2). A) On the axes provided sketch graph of f and shade the region R enclosed by the graph f, the x-axis, and the vertical line x=8 (already completed just mentioned it for part B.) B) Find area of the region R

asked by Michael on April 28, 2011
7. Calculus

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y = 4(x^(1/2)), y=4, and 2y +2x = 6 I keep getting an area around 21.3 but it is incorrect. Am I close? Thank you!

asked by Donna on July 11, 2013
8. calculus

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. y=3+√X, y=3+1/5x What is the area?

asked by Nick on July 14, 2015
9. calculus

Sketch the region in the first quadrant enclosed by y=6/x, y=2x, and y=.5x. Decide whether to integrate with respect to x or y. Then find the area of the region. need final area as answer please, and step would be helpful also if you can post.

asked by Nick on July 19, 2015
10. calculus

the region enclosed by 2y=5xy=5 and 2y+3x=8. Decide whether to integrate with respect to x or y, and then find the area of the region. The area is

asked by Anonymous on May 2, 2012
11. Calculus 2

Sketch the region enclosed by y=e^2x, y=e^6x, and x=1. Decide whether to integrate with respect to x or y. Then find the area of the region.

asked by Rebecca on February 9, 2012
12. Calculus II

Sketch the region enclosed by 2y=5x^(1/2), y=3, 2y+4x=9. Decide whether to integrate with respect to x or y, and then find the area of the region.

asked by Natalie on January 29, 2018
13. calculus

Sketch the region enclosed by x+y^2=42 and x+y=0. Decide whether to integrate with respect to x or y, and then find the area of the region.

asked by lssa on April 8, 2010
14. calculus

1. Let R be the region in the first quadrant enclosed by the graphs of y=4-X , y=3x , and the y-axis. a. Find the area of region R. b. Find the volume of the solid formed by revolving the region R about the x-axis.

asked by Taeyeon on March 9, 2012
15. Calculus

Sketch the region enclosed by the curves x= 49-y^2 and x = y^2 - 49. Decide whether to integrate with respect to x or y. Then find the area of the region.

asked by Jason on February 9, 2015
16. Calculus

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3(x^(1/2)) , y=5 and 2y+3x=6

asked by Kathy on October 26, 2012
17. calculus

Sketch the region enclosed by 2y=5sqrtx, y=5 and 2y+3x=8. Decide whether to integrate with respect to x or y, and then find the area of the region.

asked by ayee on May 4, 2012
18. math

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. y=5x^2,y=x^2+3

asked by Philip on April 27, 2019
19. Math- Calc

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. y=e^(4x), y=e^(6x), x=1

asked by Kristina on October 29, 2010
20. Calculus 2

Sketch the region in the first quadrant enclosed by y=7/x, y=2x, and y=x/2. Decide whether to integrate with respect to x or y. Then find the area of the region.

asked by Henry on February 9, 2016
21. calculus

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then ﬁnd the area of the region. y = 5x^2 and y = x^2+6

asked by Sam on February 28, 2017
22. math

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. y=e^1x, y=e^4x, x=1

asked by Anonymous on November 9, 2012
23. Calculus

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. x+y^2=42, x+y=0

asked by Kelly on November 21, 2013
24. calculus

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y = 4√x and y = 5 and 2y+2x = 6.

asked by Sam on February 28, 2017
25. Calculus Area between curves

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 3y+x=3 , y^2-x=1

asked by Amy on November 21, 2013
26. Calculus - Integrals

Consider the region enclosed by the graphs of x=y^2-5 and x=3-y^2 a)Express the area of this region by setting up an integral with respect to x b) Express the area of this region by setting up an integral with respect to y c) Find the area of this region

asked by Beth on April 13, 2017
27. math

Roughly sketch the region enclosed by the curves y = sin x, y = cos x and the x - axis between x = 0 and x = p/ 2 . Also find the area of this region.

asked by usha on March 14, 2015
28. math

Find the area of the region enclosed between y=2sin(x) and y=3cos(x) from x=0 to x=0.7π. Hint: Notice that this region consists of two parts.

asked by Josh on April 27, 2019
29. calculus

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3sqrt(x) , y=3 and 2y+3x=6.

asked by michael on October 22, 2010
30. calculus

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3sqrt(x) , y=3 and 2y+3x=6.

asked by michael on October 22, 2010
31. Calc help

find the area of the region enclosed by y=e^2x, y=e^5x, and x=1. i am having trouble seeing how this region looks like and having problems with how to start the problem in general. Much help is appreciated.

asked by James on February 19, 2009
32. calculus

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3 sqrt x,y=3 and 2y+1x=4

asked by webworks on April 24, 2015
33. calculus

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3sqrt(x) , y=3 and 2y+3x=6.

asked by michael on October 22, 2010
34. calculus

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3sqrt(x) , y=3 and 2y+3x=6.

asked by michael on October 22, 2010
35. CALCULUS:)

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3sqrtx and y=3 and 2y+2x=5

asked by Brit on August 16, 2011
36. calculus

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3sqrt(x) , y=3 and 2y+3x=6.

asked by michael on October 22, 2010
37. calculus

R is the first quadrant region enclosed by the x-axis, the curve y = 2x + a, and the line x = a, where a > 0. Find the value of a so that the area of the region R is 18 square units.

asked by Bree on May 20, 2016
38. calculus

Sketch the region in the first quadrant enclosed by y=6/x, y=2x, and y=12x. Decide whether to integrate with respect to x or y. Then find the area of the region.

asked by Nick on July 18, 2015
39. Calculus

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3sqrtx , y=3 , 2y+2x=5

asked by Dan on August 17, 2011
40. calculus

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3sqrt(x) , y=3 and 2y+3x=6.

asked by michael on October 22, 2010
41. calculus

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3sqrt(x) , y=3 and 2y+3x=6.

asked by michael on October 22, 2010
42. calculus

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area S of the region. y=sqrt(x) , y=1/2 x , x=25

asked by ken on January 30, 2009
43. calculus

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3sqrt(x) , y=3 and 2y+3x=6.

asked by michael on October 22, 2010
44. Calculus

sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=5 rootx, y=5, and 2y+2x=7.

asked by Amy on April 24, 2011
45. Calculus-Area between curves

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=4*sqrt(x) , y=5 and 2y+4x=8 please help! i've been trying this problem the last couple days, even asked a TA for help,

asked by Chrissy on November 21, 2013
46. calculus

R is the first quadrant region enclosed by the x-axis, the curve y = 2x + b, and the line x = b, where b > 0. Find the value of b so that the area of the region R is 288 square units.

asked by Anonymous on August 29, 2015
47. Calculus

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=5x^(1/2) , y=4 and 2y+1x=6 I've been trying this problem for about 3 hours. Please help!!!!!

asked by Sammy on July 10, 2012
48. Calculus

Find the area of the region enclosed between y=4sin(x) and y=2cos(x) from x=0 to x=0.7pi. Hint: Notice that this region consists of two parts.

asked by Jamie on December 2, 2016
49. calculus

Sketch the region in the first quadrant enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. y=10cosx, y=10sin2x,x=0

asked by lssa on April 8, 2010
50. Math

A farmer has 36 feet of fence to build a pigpen. He is going to use one of the sides of his barn as a side to the rectangular enclosure. Determine a function A that represents the total area of the enclosed region. What is the maximum area that can be

asked by Kate on April 14, 2016
51. calc

find a positive value of k such that the area of the region enclosed between y= kcosx and y=kx^2 is 2 i graphed cosx and x^2 without the k, so you know to find the integral of -a to a (its symmetric about the origin) would be the integral of kcosx - kx^2

asked by Anonymous on December 23, 2007
52. Calculus

Sketch the region in the first quadrant enclosed by y=8/x, y=4x, and y=1/4x. Decide whether to integrate with respect to x or y. Then find the area of the region. Can someone please help me out with showing the work and not giving me some BS speech.

asked by Lawton on April 14, 2017
53. Calculus HELP plz

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=4x^1/2,y=5,2y+1x=5 Do you really mean "2y+1x=5" ? It is not customary to use the coefficient 1 in front of a variable.

asked by jimmy on May 5, 2007
54. Calculus

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3sqrt(x), y=5, and 2y+3x=6 I tried this many times and i am getting it wrong. Please show me how you got to the answer.

asked by John on January 25, 2011
55. Calculus: Application of Integration

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label ts height and width. Then find the area of the region. y=x^2 y^2=x

asked by Anonymous on October 5, 2010

Suppose that 0 < c < ¥ð/2. For what value of c is the area of the region enclosed by the curves y = cos x, y = cos(x - c), and x = 0 equal to the area of the region enclosed by the curves y = cos(x - c), x = ¥ð, and y = 0? i have no idea how to solve

asked by K on November 25, 2010
57. math

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=5x , y=3 and 2y+1x=6 It is easier to integrate with respect to the variable Area = Help!!!!

asked by kitor on January 25, 2014
58. calc

Find the area of the indicated region. Enclosed by y = −x and y = x4

asked by caitlyn on December 15, 2013
59. Calculus:)

Find the area of the region enclosed by y−2x^2≥0 and |x|+|y| ≤ 1

asked by Brit on August 11, 2011
60. Calculus:)

Find the area of the region enclosed by y−2x^2≥0 and |x|+|y| ≤ 1

asked by Brit on August 11, 2011
61. Calculus

Find the area of the region enclosed by y−2x^2 ≥ 0 and |x|+|y| ≤ 1

asked by Lindsay on August 12, 2011
62. Calculus

Sketch the region enclosed by the given curves.? Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3(x^(1/2)) , y=4, and 2y+3x=6 I have been working on this problem for the past 3 hours with a friend and we have just

asked by GM on July 10, 2012
63. Calculus

Let f and g be the functions given by f(x)=1+sin(2x) and g(x)=e^(x/2). Let R be the shaded region in the first quadrant enclosed by the graphs of f and g. A. Find the the area of R. B. Find the value of z so that x=z cuts the solid R into two parts with

asked by Anonymous on April 19, 2015
64. Algebra

You have 50 yards of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area?

asked by Hayley on October 17, 2010
65. Calc 2: Area under the curve

Find the area of the region enclosed between y=2sin(x and y=3cos(x) from x=0 to x=0.4pi Hint: Notice that this region consists of two parts. Notice: I'm getting 1.73762 but apparently that is wrong.

asked by sam on April 20, 2011
66. Calculus

Find the area of the region enclosed by the parabolas y=x^2 and y+2x-x^2

asked by Laurie on May 21, 2014
67. calculus

Find the area of the region enclosed by y=6x2 and y=x2+15

asked by carlton on April 29, 2012
68. Calc 2

Find c>0 such that the area of the region enclosed by the parabolas y=x^2−c^2 and y=c^2−x^2 is 90.

asked by Rebecca on February 10, 2012
69. math

Find the area of the region enclosed: Y=x3+5x2+3, y=x2+7x +3, X=0,x=3

asked by Saima on March 1, 2010
70. Calculus 2

Find c>0 such that the area of the region enclosed by the parabolas y=x^2−c^2 and y=c^2−x^2 is 90.

asked by Rebecca on February 10, 2012
71. Calculus

Find the area of the region enclosed by the given curves: 4x+y^2=9, x=2y

asked by Michael on April 19, 2012
72. Calculus Help!!!

Find c > 0 such that the area of the region enclosed by the parabolas y=x^2-c^2 and y=c^2-x^2 is 13.

asked by Ryan on November 21, 2013
73. calculus

Sketch the region bounded by the curves y = x^2, y = x^4. 1) Find the area of the region enclosed by the two curves; 2) Find the volume of the solid obtained by rotating the above region about the x-axis; 3) Find the volume of the solid obtained by

asked by Megan on June 9, 2011
74. Cal 2

Find c>0 such that the area of the region enclosed by the parabolas y=x2−c2 and y=c2−x2 is 230.

asked by Carter on February 9, 2016
75. calculus

Find the area of the region enclosed by the parametric equation x = t^3−3t y = 6t^2.

asked by maggie on May 8, 2017
76. Calculus

Find the area of the region enclosed by the given curves: y=e^6x, y=2sin(x), x=0, x=pi/2

asked by Michael on April 18, 2012
77. Calculus

Find the area of the region enclosed between y = 2sin (x) and y = 2cos (x) from x = 0 to x = pi/4. Thanks for your help :)

asked by Michelle on October 27, 2011
78. calculus

Consider the curves y = x^2and y = mx, where m is some positive constant. No matter what positive constant m is, the two curves enclose a region in the first quadrant.Without using a calculator, find the positive constant m such that the area of the region

asked by John on March 4, 2012
79. Calculus

The question is find the area of the reagion that is bounded by the curve y=arctan x, x=0, x=1, and the x-axis. So I've drawn the enclosed region. To find the area would I use the Disc/shell method? If so the formula that I came up with looks like this: If

asked by Isaac on July 12, 2013
80. Calculus

Let R be the first quadrant region enclosed by y=e^2, y=e^x and the y-axis. The area of region R is? I don't understand why is the interval is from [0-2]. Thanks

asked by Mike on March 11, 2017
81. MATHS-PARABOLA

using integration find the area of the region enclosed between the circle x^2+y^2=16 and the parabola y^2 = 6x

asked by anchal on March 2, 2013
82. math (9)

Find the area of the region enclosed by these graphs and the vertical lines x = 0 and x = 3 f(x)=-x^2+2x+4 g(x)=-x+4

asked by Vanessa on April 23, 2014
83. math (8)

Find the area of the region enclosed by these graphs and the vertical lines x = 3 and x = 5 f(x)=x^2+5 g(x)=1

asked by Vanessa on April 23, 2014
84. math (8)

Find the area of the region enclosed by these graphs and the vertical lines x = 3 and x = 5 f(x)=x^2+5 g(x)=1

asked by Vanessa on April 24, 2014
85. math (9)

Find the area of the region enclosed by these graphs and the vertical lines x = 0 and x = 3 f(x)=-x^2+2x+4 g(x)=-x+4

asked by Vanessa on April 24, 2014
86. cal

Find the area of the region enclosed by the curve y=xsinx and the x-axis for 7π ≤x ≤8π .

asked by tony on December 23, 2013
87. math

Sketch the region enclosed by the given curves. y = 4/x, y = 16x, y =1/4x, x > 0 Find the area.

asked by LC on August 29, 2017
88. Calculus2

Find the area of the region enclosed by the inner loop of the curve. r = 4 + 8 sin(θ)

asked by A on August 3, 2018
89. Calculus II

Find the area of the region enclosed by the inner loop of the curve. r = 5 + 10sin(θ) Thanks for the help!

asked by Julie on April 3, 2011
90. math (9)

Find the area of the region enclosed by these graphs and the vertical lines x = 0 and x = 3 f(x)=-x^2+2x+4 g(x)=-x+4

asked by Mia on April 25, 2014
91. Calculus

1. Find the area of the region bounded by the curves and lines y=e^x sin e^x, x=0, y=0, and the curve's first positive intersection with the x-axis. 2. The area under the curve of y=1/x from x=a to x=5 is approximately 0.916 where 1

asked by Jessy152 on February 27, 2013
92. Math

A farmer uses 1034 meters of fencing to enclose a rectangular region and also to subdivide the region into three smaller rectangular regions by placing a fence parallel to one of the sides. Find the demensions that produce the greatest enclosed area.

asked by Jackie on February 10, 2013
93. Math

A man owns a rectangular piece of land. The land is divided into four rectangular pieces, known as Region A, Region B, Region C, and Region D. One day his daughter, Nancy, asked him, what is the area of our land? The father replied: I will only tell you

asked by Josh on May 7, 2014
94. Calculus

Find the area of the region enclosed by one loop of the curve. r = sin(12θ)

asked by Beth on April 3, 2011
95. calculus 2

Sketch the region enclosed by the given curves. Find its area. y=7cos pi x, y=12x^2-3

asked by TayB on January 25, 2016
96. Calculus kinda with the area of two curves

II don't even know where to start with this can anyone help?!? Find c>0 such that the area of the region enclosed by the parabolas y=x^2-c^2 and y=c^2-x^2 is 270.

asked by Roni on December 2, 2013
97. calculus

Find the area of the region in the first quadrant enclosed by the coordinate axes and graph of x^3+y^3=1.

asked by Anonymous on October 21, 2007
98. Calculus Help

Find the area of the region enclosed by the hyperbola x^2/a^2-y^2/b^2=1 and the vertical line through a focus

asked by Sarah on December 2, 2010
99. calculus

Consider the graphs of y = 3x + c and y^2 = 6x, where c is a real constant. a. Determine all values of c for which the graphs intersect in two distinct points. b. suppose c = -3/2. Find the area of the region enclosed by the two curves. c. suppose c = 0.

asked by mary on March 23, 2010
100. calculus

Which has more area, the region in the first quadrant enclosed by the line x+y=1 and the circle x^2+y^2=1, or the region in the first quadrant enclosed by the line x+y=1 and the curve sqrt(x)+sqrt(y)=1? Justify your answer.

asked by Sophie on January 21, 2010