# 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-
## 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* -
## 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* -
## 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* -
## 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* -
## math

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

*asked by Eee on April 27, 2013* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## calculus review please help!

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* -
## Trig

Find all values of theta in the interval 0

*asked by Waldo on March 14, 2011* -
## Calculus Please Help

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

*asked by Ke$ha on May 25, 2017* -
## calculus

Please i need help with this. Find the area bounded by the curves y0…5 - 4x = 0, 2x - y - 4 = 0

*asked by Jazmine on January 27, 2015* -
## geometry

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

*asked by ceasar on February 27, 2015* -
## Calculus

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

*asked by Anonymous on February 3, 2016* -
## 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* -
## 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* -
## calculus

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

*asked by Akki on February 28, 2015* -
## 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* -
## 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* -
## 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* -
## Calculus

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

*asked by Beth on December 4, 2011* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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* -
## 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*

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