Question

In: Math

Sketch and find the area of the region bounded by the curves ?=?+? and ?=?2−?.

Sketch and find the area of the region bounded by the curves ?=?+? and ?=?2−?.

Solutions

Expert Solution

First find points of intersection

Substituting equation (1) in (2)

  

We found the x coordinates . now find y coordinates

Using equation (1)

As you can see the line is above the parabola

....................

...................

  

  

  

  

  

Taking L.C.M,

  

  


Related Solutions

find the area of the region bounded by the curves √ x + √y = 1...
find the area of the region bounded by the curves √ x + √y = 1 and the coordinate axis.
Find the area of the region bounded by the parabolas x = y^2 - 4 and...
Find the area of the region bounded by the parabolas x = y^2 - 4 and x = 2 - y^2 the answer is 8 sqrt(3)
Find the centroid of the region bounded by the given curves. y=x^2 , x=y^2
Find the centroid of the region bounded by the given curves. y=x^2 , x=y^2
a) Find the area of the region bounded by the line y = x and the...
a) Find the area of the region bounded by the line y = x and the curve y = 2 - x^2. Include a sketch. Find the volume of the solid created when rotating the region in part a) about the line x = 1, in two ways.
What is the area of the region bounded by given curves, x^2 + 4x - 2y + 2 = 0 and y = 0?
What is the area of the region bounded by given curves, x^2 + 4x - 2y + 2 = 0 and y = 0?  
A. Find the region bounded by the curves y = (x−3)^2 and y = 12−4x. Show...
A. Find the region bounded by the curves y = (x−3)^2 and y = 12−4x. Show all of your work. B. Find the equation of the tangent line to the curve 5x^2 −6xy + 5y^2 = 4 at the point (1,1) Show all of your work. Thanks
Use double integration to find the area in the first quadrant bounded by the curves y...
Use double integration to find the area in the first quadrant bounded by the curves y = sin x, y = cos x and the y-axis.
Given : the plane region R is bounded by the curves ? = 0 , ?...
Given : the plane region R is bounded by the curves ? = 0 , ? = 2 , ? = 3√? 2-Compute the volume of the solid that has the region R as the (horizontal) base; vertical slices parallel to the ?-axis are squares
volumes of revolution a.) Sketch the region in the first and fourth quadrants bounded by the...
volumes of revolution a.) Sketch the region in the first and fourth quadrants bounded by the graphs of f(x)=x^4-4x^2 and g(x)=4-x^2, and find the area. b.) find the volume of the solid generated by revolving the region described in part (a) about the line x=-2. c.) set up, but do not evaluate, the integral which computes the volume of the solid generated by revolving the region described in part (a) about the line y=-2. d.) set up, but do not...
What is the volume of the solid obtained by rotating the region bounded by the curves...
What is the volume of the solid obtained by rotating the region bounded by the curves x = y^2 and x = 1 − y^2 rotated about line x = −2?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT