# Find the area bounded by the given curves y= 7cos(x) and y=7cos^2(x) between x=0 and x= π/2

98,462 questions
1. ## calculus

Find the area bounded by the given curves y= 7cos(x) and y=7cos^2(x) between x=0 and x= π/2.

asked by love on March 20, 2019
2. ## 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
3. ## Physics

You want to jump from an 8.2 m high building to a 10 m high building. The gap between the buildings is 2.4 m, and you can run fast enough so that your speed as you leave the edge of the lower building is 7.0 m/s. What range of launch angles will allow you

asked by Ben on January 28, 2017
4. ## trig

For the following expression, find the value of y that corresponds to each value of x, then write your results as ordered pairs (x,y). y=7cos(x-pi/6) for x=pi/6, pi/3, 2pi/3, pi, 7pi/6

asked by katie on November 29, 2011
5. ## math

how much does this equals? 3sin^(2)x - 7cos^(2)x , when cos2x=-0,1 ?

asked by Eee on April 27, 2013
6. ## Calculus-Antiderivative

Solve the following initial value problem: dr/dt=7cos(pi(t)), r(1/4)=14 r(t)=?

asked by Max on November 8, 2013
7. ## math

determine the intervals for which the curve r(t)=4sin^3(t)i+7cos^3(t)j is smooth on [0,2π

asked by katie on April 27, 2014
8. ## CALCULUS

Determine the intervals for which the curve r(t)=4sin^3(t)i + 7cos^3(t)j is smooth on [0,2pai]

asked by AIRA on April 27, 2014
9. ## calculus

Evaluate the limits without using a calculator. Justify all steps in the solutions. lim x-->0 x^7cos(3/x)

asked by Janet on February 12, 2011
10. ## calculus

Evaluate the limits without using a calculator. Justify all steps in the solutions. lim x-->0 x^7cos(3/x)

asked by Janet on February 13, 2011
11. ## Calculus

Find the absolute maximum and the absolute minimum values of f(x)=x−7cos(x) on the interval [−ð,ð).

asked by Robin on July 7, 2013
12. ## Calculus

We're learning disks, shells, and cylinders in school but we have a substitute and I've been trying to teach this to myself. Can you check them please? =) Thank you! 1) Find the volume of the solid formed when the region bounded by curves y=x^3 + 1, x= 1,

asked by Hannah on May 21, 2013
13. ## Calculus

We're learning disks, shells, and cylinders in school but we have a substitute and I've been trying to teach this to myself. Can you check them please? =) Thank you! 1) Find the volume of the solid formed when the region bounded by curves y=x^3 + 1, x= 1,

asked by Hannah on May 21, 2013
14. ## Math

The curves y=sinx and y=cosx intersects twice on the interval (0,2pi). Find the area of the region bounded by the two curves between the points of intersection.

asked by Luke on March 1, 2015
15. ## Math

The curves y=sinx and y=cosx intersects twice on the interval (0,2pi). Find the area of the region bounded by the two curves between the points of intersection.

asked by Ian on March 1, 2015
16. ## calculus 2

Use a graph to find approximate x-coordinates of the points of intersection of the given curves. Then find (approximately) the area of the region bounded by the curves. (Round your answer to two decimal places.) y = 8x^2− 3x, y = x^3−8x+ 2

asked by TayB on January 22, 2016
17. ## Maths

If sina+7sinb=4 (sinc+2sind) and cosa+7cosb=4 (cosc+2cosd), how do I prove that 2cos(a-d) =7cos(b-c)?

asked by Anonymous on June 13, 2017
18. ## math

If sina+7sinb=4 (sinc+2sind) and cosa+7cosb=4 (cosc+2cosd), how do I prove that 2cos(a-d) =7cos(b-c)?

asked by Alexa on June 13, 2017

1) Find the area of the region bounded by the curves y=arcsin (x/4), y = 0, and x = 4 obtained by integrating with respect to y. Your work must include the definite integral and the antiderivative. 2)Set up, but do not evaluate, the integral which gives

asked by Danni on March 22, 2017
20. ## Trig

Find all values of theta in the interval 0

asked by Waldo on March 14, 2011

find the area bounded by the curves y^2=2x+6 and x=y+1

asked by Ke\$ha on May 25, 2017
22. ## calculus

Please i need help with this. Find the area bounded by the curves y0…5 - 4x = 0, 2x - y - 4 = 0

asked by Jazmine on January 27, 2015
23. ## geometry

Find the area bounded by the curves y= x^2 + 4 and y=x + 2

asked by ceasar on February 27, 2015
24. ## Calculus

Find the area bounded by the indicated curves. y=x^2, y=0, x=2

asked by Anonymous on February 3, 2016
25. ## 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
26. ## math

find the area of region R bounded by the curves y=3x , x=2y and 2x+y=5

asked by moh on December 16, 2014
27. ## calculus

Find the area of the region bounded by the curves y=x^2 & y=2x???

asked by Akki on February 28, 2015
28. ## calculus

find the area of the region bounded by the curves f(x)=x-x^3 ; g(x)=x^2-x ; over [0,1]

asked by lis on December 17, 2016
29. ## calc

find the area under the region bounded by the curves y=x^2-3 and y=2x.

asked by Linda on April 22, 2015
30. ## Calculus

Find the area of the region bounded by the curves y=x^2 - 2x and y= x + 4

asked by Joe on May 6, 2015
31. ## Calculus

Find the total area bounded by the curves y = x^3 and y = x^5 .

asked by Beth on December 4, 2011
32. ## integral calculus

FIND THE AREA OF THE REGION BOUNDED BY THE CURVES Y= X^2 + 4X + 3 AND Y= x-1.

asked by Anonymous on January 9, 2012
33. ## 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
34. ## Cal 2

Find the points of intersection of the graphs of the functions y=4x^2-25 and y=0. -5/2,5/2 Find the area bounded by the curves y=4x^2-25, y=0, x=-1, x=3.5. PS the area is not 54 I already tried.

asked by Natalie on January 29, 2018
35. ## Calculus

Sketch the regions bounded by the following curves and find their area: y=2x^2 y=-x^3+3x

asked by cool on April 20, 2017
36. ## Calculus 2

Find the area bounded by the curves y=sin(4x) and y=0 for x between x=0 and x=3pi/8.

asked by Natalie on January 29, 2018
37. ## Pre Calculus

Find The Area Bounded by the given curves. How would I set this up to solve? x=2, x=5, y=1/x, y=1/x^2

asked by Thomas on April 28, 2018
38. ## calculus

Find the area of region bounded by the curves y=sin(pi/2*x)and y=x^2-2x.

asked by Liz on January 30, 2013
39. ## Kenya water

Find the area of the region bounded by the curves y=xsinx and y=(x-2)^2

asked by Nixon on December 6, 2015
40. ## Calculus

find the area of the region bounded by the curves y=x^2-1 and y =cos(x)

asked by joe9 on April 27, 2015
41. ## Math

How do I find the area of the region bounded by the curves y = e^x, y = e^-x, x= -2, and x = 1? Even if you could just help me in getting started it would be a HUGE help. Thanks!

asked by Kara on September 3, 2008
42. ## calculus

find the area of one of the regions bounded by the curves y=sin x and y=cos x

asked by monday on March 27, 2011
43. ## Calculus 2

Find the area bounded by the curves y=4x^2-25, y=0, x=-1, x=3.5. Ps the area is not 54 or 60 I already tried.

asked by Oscar on January 30, 2018
44. ## calculus

Find the area bounded by {y=x2−4 y=4−x2 • sketch the region described • determine any intersection point(s) for the curves (show work!!) • write out the integral(s) that will calculate the area • determine the area (may use a calculator)

asked by Will on October 3, 2013
45. ## Calculus (Area Between Curves)

Find the area of the region bounded by the curves y^2=x, y-4=x, y=-2 and y=1 (Hint: You'll definitely have to sketch this one on paper first.) You get: a.) 27/2 b.) 22/3 c.) 33/2 d.) 34/3 e.) 14

asked by Mishaka on February 29, 2012
46. ## Calculus

Find the area of the region bounded by the curves y=12-x^2 and y=x^2-6. Hint:The answer should be a whole number.

asked by Bill on December 7, 2014
47. ## Calculus

3) Find the area bounded by the curves f(x)= x^3 + x^2 and g(x)= 2x^2 + 2x. I get 4653pi/105 after help from Mr. Reiny, but this is wrong. Have I calculated incorrectly? Thank you

asked by Hannah on May 22, 2013
48. ## Calculus

Find the number b such that the line y = b divides the region bounded by the curves y = x2 and y = 4 into two regions with equal area.

asked by nan on February 23, 2016
49. ## Math

3) Find the area bounded by the curves f(x)= x^3 + x^2 and g(x)= 2x^2 + 2x. I get 4653pi/105 after help from Mr. Reiny, but this is wrong. Have I calculated incorrectly? Thank you

asked by Hannah on May 22, 2013
50. ## math-calculus 2

Consider the given curves to do the following. 64 y = x^3, y = 0, x = 4 Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about y = 1.

asked by Biff on June 21, 2013
51. ## Ap Calculus

Find the area of the region bounded by the curves y=x^2-1 and y=cos(x). Give your answer correct to 2 decimal places

asked by Karen on February 13, 2019
52. ## Calculus

find area of the region bounded by the curves y=x^2-1 and y=cos(x). give your answer correct to 2 decimal places.

asked by joe9 on April 27, 2015
53. ## Calc

Find the area of the region bounded by the curves y2 = x, y – 4 = x, y = –2, and y = 1. So far I have found that the area of the trapezoid which is 13.5. But for the other two areas I cannot find them. They could be: 27/2 22/3 33/2 34/3 14 I believe

asked by Thomas on April 9, 2015
54. ## Integral calculus

Use the cylindrical shell method to find the volume of the solid generated by revolving the area bounded by the given curves (x-3)^2 + y^2 = 9, about y-axis.

asked by Anonymous on May 15, 2016
55. ## math, calculus

1. Consider the region bounded by the curves y=|x^2+x-12|, x=-5, and x=5 and the x-axis. A. Set up a sum of integrals, not containing an absolute value symbol, that can be used to find the area of this region. B. Find the area of the region by using your

asked by anon on April 23, 2014
56. ## Calc

Find the areas of the regions bounded by the lines and curves by expressing x as a function of y and integrating with respect to y. x = (y-1)² - 1, x = (y-1)² + 1 from y=0 to y=2. I graphed the two functions and the do not intersect? Does it matter? Or

asked by Erica on October 10, 2011
57. ## AP Calculus

Find the area of the region bounded by the curves y = sin^-1(x/2), y = 0, and x = 2 obtained by integrating with respect to y. Please include the definite integral and the antiderivative.

asked by Tom on March 26, 2018
58. ## Calculus

Find the area of the region bounded by the curves y = x^(-1/2), y = x^(–2), y = 1, and y = 3. a) (1/2)(3)^1/2 + (4/3) b) 2*(3)^1/2 - (8/3) c) (1/2)(3)^1/2 - (32/3) d) 2*(3)^1/2 - (32/3) e) (8/3) - 2*(3)^1/2 So one thing that is throwing me off on this

asked by Emily on May 24, 2016
59. ## Calc

Find the area of the region bounded by the curves y = sin^-1(x/6), y = 0, and x = 6 obtained by integrating with respect to y. Please include the definite integral and anti-derivative.

asked by LilPeep on January 3, 2018
60. ## cal 2

Find the number b such that the line y = b divides the region bounded by the curves y = x2 and y = 16 into two regions with equal area. (Round your answer to the nearest hundredth.)

asked by emily on February 12, 2010
61. ## Calculus

Find the area of the region bounded by the curves y = sin^-1(x/4) , y = 0, and x = 4 obtained by integrating with respect to y. Your work must include the definite integral and the antiderivative.

asked by Ronathan on May 11, 2018
62. ## calculus

what is the area of the region bounded by the curves y=x^2 , y=8-x^2 , 4x-y+12=0

asked by nicko on December 1, 2010
63. ## calculus

Find the number b such that the line y = b divides the region bounded by the curves y = 16x2 and y = 9 into two regions with equal area. (Round your answer to two decimal places.)

asked by Courtney on November 9, 2011
64. ## calculus

Find the number b such that the line y = b divides the region bounded by the curves y = 16x2 and y = 9 into two regions with equal area. (Round your answer to two decimal places.)

asked by Courtney on November 9, 2011
65. ## Calc

Find the number b such that the line y = b divides the region bounded by the curves y = 4x2 and y = 16 into two regions with equal area. (Round your answer to two decimal places.)

asked by James on May 27, 2016
66. ## Calculus

Find the number b such that the line y = b divides the region bounded by the curves y = 4x2 and y = 1 into two regions with equal area. (Round your answer to two decimal places.)

asked by Graham on November 18, 2013
67. ## Calculus

Calculate the area of the bounded region between the curves y^2=x and 3y = -3y + 9 ?

asked by Akki on February 17, 2015
68. ## calculus

Use the mid-point rule with n = 4 to approximate the area of the region bounded by y = x^3 and y = x.? I know how to use the midpoint rule to get the area under a curve but I'm confused on how to get the area between the two curves. Do I subtract them

asked by Anonymous on May 14, 2018
69. ## calc

Find the number a such that the line x = a divides the region bounded by the curves x = y^2 − 1 and the y-axis into 2 regions with equal area. Give your answer correct to 3 decimal places.

asked by Anonymous on June 13, 2015
70. ## Calculus

Find the number a such that the line x = a divides the region bounded by the curves x = y^2 − 1 and the y-axis into 2 regions with equal area. Give your answer correct to 3 decimal places.

asked by John on January 22, 2016
71. ## maths

determine the co-ordinate of the poin of intersection of the curves y=x*x and y*y=8x. sketch the two curves and find the area enclosed by the two curves.

asked by patrick on February 7, 2011
72. ## Calculus

Find the area of the region which is bounded by the polar curves theta =pi and r=2theta 0

asked by Salman on February 5, 2010
73. ## Calculus

Find the area of the region which is bounded by the polar curves theta =pi and r=2theta 0

asked by Salman on February 4, 2010
74. ## Calculus

Find the area of the region which is bounded by the polar curves theta =pi and r=2theta 0

asked by Salman on February 5, 2010
75. ## Math

Find the area of the region which is bounded by the polar curves theta =pi and r=2theta 0

asked by Salman on February 6, 2010
76. ## Calculus

Find the area of the region which is bounded by the polar curves theta =pi and r=2theta 0

asked by Salman on February 6, 2010
77. ## Maths

Find the area of the region which is bounded by the polar curves theta =pi and r=2theta 0

asked by Salman on February 6, 2010
78. ## calc

Find the area of the region bounded by the curves y equals the inverse sine of x divided by 4, y = 0, and x = 4 obtained by integrating with respect to y. Your work must include the definite integral and the antiderivative.

asked by Anonymous on June 29, 2015
79. ## 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
80. ## Calc

- What is, lim n--> ∞ nΣ(k=1) (2+k*(5/n))^3 * 5/n as a definite integral. - Solve d/dt x^4∫2 tan (x^2)dx - What is the area bounded by the curves x = y^2 - 4y and x = 2y - y^2?

asked by Jameel on July 15, 2018
81. ## Calculus (Area Between Curves)

Find the area of the region IN THE FIRST QUADRANT (upper right quadrant) bounded by the curves y=sin(x)cos(x)^2, y=2xcos(x^2) and y=4-4x. You get: a.)1.8467 b.) 0.16165 c.) 0.36974 d.) 1.7281 e.) 0.37859

asked by Mishaka on February 29, 2012
82. ## Calculus

Find the area of the region bounded by the curves of y=sin^-1(x/4), y=0, and x=4 obtained by integrating with respect to y. Your work must include the definite integral and the anti-derivative. I am really confused on this question. I graphed all of the

asked by Dloc on May 2, 2017
83. ## Calculus

Use the mid-point rule with n = 4 to approximate the area of the region bounded by y = x^3 and y = x. I just need to know how to use the midpoint rule when the area is between two curves instead of under a curve. Help please.

asked by Anonymous on May 14, 2018
84. ## math

region bounded by the parabolas y=x^2 and y=6x-(x^2) is rotated about the x-axis so that a vertical line segment cut off by the curves generates a ring. find the value of x for which we obtain the ring of largest area

asked by ML on January 28, 2008
85. ## math

If the curves of f(x) and g(x) intersect x=a and x=b and if f(x)>g(x)>0 for all x on (a,b) then the volume obtained when the region bounded by the curves is rotated about the x-axis is equal to

asked by dee on March 12, 2016
86. ## calculus

Determine the exact value for the constant k such that the area of the region bounded by the curves y=x and y=kx^2 is equal to 2/3 sq units. Any help is appreciated.

asked by Jenn on April 18, 2011
87. ## Maths

If the line x=3 divides the area bounded between the curves y^2=12x and x^2=12y into two parts then the ratio of their areas is

asked by Anand on July 13, 2016
88. ## calculus wxmaxima

does anyone know how to approximate the are and circumfrence of the region bounded by the given curves y=cos(x^2 +(100493/100000)), y=1+x-X^2 i already did the area but i need help with the circumference

asked by jessica on February 16, 2011
89. ## calculus help lttle question

find the area of the regin bounded by the graphs of y=-x^2=2x=3 and y=3. i don't need help solving the problem and but i am a little confused. ok the graph is a parabola and i drew a parobla with y= 3. now when find the area, am I finding the area on the

asked by david on January 8, 2007
90. ## MATH

Region A that on xy-plane is bounded by two (2) curves and a line. The curves are y=x^3-2x+3 and y=-x^2+3 while the line is x=0. It is located in the first quadrant of xy-plane. Determine the area of region A.

asked by AIRA on April 7, 2011
91. ## Calculus

Find the centroid of the area bounded by the curves: sqrt(x)+sqrt(y)=sqrt(a) x=0 y=0

asked by Shayna on November 14, 2011
92. ## calculus

1. Find the area of the region bounded by f(x)=x^2 +6x+9 and g(x)=5(x+3). Show the integral used, the limits of integration and how to evaluate the integral. 2. Find the area of the region bounded by x=y^2+6, x=0 , y=-6, and y=7. Show all work required in

asked by katarina on May 15, 2012
93. ## 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
94. ## Calculus

Let R be the region bounded by the y-axis and the curves y = sin x and y = cos x. Answer the following. a)Find the exact area of R. b)A solid is generated by revolving R about the x-axis. Find the exact volume of the solid.

asked by ronnieday on April 20, 2012
95. ## Calculus

Let R be the region bounded by the y-axis and the curves y = sin x and y = cos x. Answer the following. a)Find the exact area of R. b)A solid is generated by revolving R about the x-axis. Find the exact volume of the solid.

asked by ronnieday on March 23, 2012
96. ## calculus

Find the continuity of the region bounded by the two curves. y=x^2 and y=3x?

asked by haider on July 23, 2012
97. ## 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
98. ## Calculus

1. Find the are between the curves y=e^x and y=4-x^2 graphically. a.) set up the integral b.) include bounds rounded to three decimal places c.) use integral function on calculator 2. Find the area of the "triangular" region bounded by y=4-x on the left,

asked by Amy on April 14, 2011
99. ## Physics

Please help me, I am in dire need of it, A football quarterback shows off his skill by throwing a pass {5.70 m downfield and into a bucket. The quarterback consis- tently launches the ball at 38.00' above horizontal, and the bucket is placed at the same

asked by Kristi on October 10, 2017
100. ## calculus

Let A be the region bounded by the curves y=x^2-6x+8 and y=0, find the volume when A is revolved around the x-axis

asked by Anonymous on September 21, 2011