7) Find the area of the region enclusced by the curves y=x² and

Q: Sketch the region bounded by the given curves, then find its area. x=y2, x=y+6

A: Here we have to sketch the region bounded by the given curves.  We have, x=y2, x=y+6

Q: Sketch the region bounded by the graphs of the equations y = −x2 + 3x + 1, y = −x + 1 and find the…

A:

Q: Find the area of ​​the region bounded by the y=x3 and y=2x-x2 curves.

A:

Q: Sketch the region enclosed by the curves x-6=3y and x-24=(y-6)^2 and compute the area.

A:

Q: 4. Determine the area of the region enclosed by y = sinx, y = cosx, x= π/2, and the y-axis.

A:

Q: 4 Find the area of the region bounded by 2x = y² +1 and the y-axis using the horizontal strip.

A: See below attachment.

Q: Find the area of the bounded region by the equation y= x+4 , Y - -4 y- ayis and the x-axir.

A:

Q: Find the area of the region bounded by the given curves: y = x² y = 4x – 22

A: Given: y=x2, y=4x-x2 For finding area of region bounded by given curves, we draw graph of both…

Q: Sketch the curves y = x +3 and y= 4x, and find their intersection points. What is the area of the…

A:

Q: Find the area of the region bounded by the curve 2-4r and the lines x = 1 and x = 4.

A: To find the area

Q: Sketch the region enclosed by the curves à - 5 = 4y and x − 21 = (y — 4)², and compute its area.

A: x-5=4y⇒x=4y+5     x-21=(y-4)2 ⇒x=(y-4)2+21 Area between the curves…

Q: rea of the region enclosed by

A: we have to find the area of the region bounded by the curve, y=2-x2 .....(1) and the line y=-x

Q: Sketch the region bounded by the given curves, then find its area. y = 12 - 3x^2, y = 4 - x^2

A:

Q: Sketch the region enclosed by the given curves andfind its area.   x = 2y2    ,x = 4 + y 2

A: Given curves are x=2y2 and x=4+y2 Will find the intersection points of the given curves. We will…

Q: Sketch the region enclosed by the curves y=2x, y=〖2x〗^2+x-3, then find its area.

A: The two curves are :                                    y=2xy=4x2+x-3 To determine:…

Q: Find the area of the region under the given curve from 1 to 6. x2 + 6 y = 7x — х2

A:

Q: Sketch the region bounded by the given curves, then find its area. y = 2x - x^2, y = 2x^2 - 4x

A:

Q: Sketch the region bounded by the given curves, then find its area. y = x^2, y = 2x

A: Given,            The equation of the curves are y=x2 and y=2x.To find : Find its area.

Q: Sketch the region enclosed by the given curves. y=5cospix, y-12x^2-3 Find its area.

A: Plot the curves. From curve, upper curve=5cosπxLower curve=12x2−3LL=−0.5 and UL=0.5

Q: 1. Find the area of region bounded by the curves y = x² and line y=x. %3D

A: We have to determine area of region

Q: Sketch the region enclosed by the curves y = x² and y = 4x – x² and find its area.

A: Plot the 2 curves and find the area A to be calculated. The shaded region between the curves is the…

Q: Sketch the region by the curves and find its area. y=x^2 y=x+2

A: Given,

Q: Find the area of the region bounded by the curve y2-4r and the lines x = 1 and x = 4.

A:

Q: Find the area of the region bounded by the given curves.  y=x^2-4x, y=3x+8

A: Let the curves be: The area between curves f(x) and g(x) on an interval [a,b] is given by: Where,…

Q: 2. Find the area of the region enclosed by the curve =x- 4 and y = x - 2.

A:

Q: 2. Find the area of the region enclosed by the parabola y = 2 - x² and the line y = -X.

A:

Q: Sketch the region enclosed by the curves y = 2 sin(x), y = 2 csc²(x), x = 7 and x = 4, and compute…

A: The given curves are: y=2 sin x,       y=2csc2x,       x=π4      and      x=3π4

Q: 7. Sketch the region enclosed by the curves x = region. y4 and y = V2 – x for y > 0 and find the…

A:

Q: Find the area of the region bounded by the curves y x2 and y = rVr + 2.

A:

Q: Find the area of the region bounded by the curves y = -x² – 3x + 4 and y = x2 – 3x – 4.

A: We first sketch the region using a graphing calculator y=-x2-3x+4 (violet) y=x2-3x-4 (black)

Q: Find the area of the region bounded by given curves. 1. y +4x = 0 and x+2=0

A:

Q: Sketch the region enclosed by the given curves andfind its area.   y = |x| ,    y = x2- 2

A: Given curve  y=x2-2 and y=x When the value of x<0 then, y=-x and and when x>0 then y=0. Solve…

Q: Sketch the region enclosed by the given curves and find its area. 1 y x > 0 y = x y 4 | || |8

A:

Q: Sketch the region enclosed by the curves x − 5 = 4y and x − 21 = (y – 4)², and compute its area. A

A: The given curves are; x-5=4y and x-21=y-42 Now find the point of intersection between the given…

Q: Find the area of the region bounded by the parabola y = x2, the tangent line to the parabola at the…

A:

Q: Find the area of the region bounded by the given curves. y= x2, y = 4x - x2

A: The given curves are,   y= x2,  y = 4x - x2

Q: Find the area of the region bounded by the curves y = 1 (x+1)21 2 y = 4 and

A: Please refer to the image below

Q: Sketch the region enclosed by the given curves andfind its area.       y =|x|     , y =  x2 -2

A: Definition used -      Area between two curves -       If two curves f(x) and g(x) are…

Q: Sketch the region enclosed by the given curves andfind its area.    x = 2 y 2  , x =  4 + y 2

A: Definition used -    The area between curves -                        A=∫ab(f(x)-g(x))dx

Q: Find the area bounded by the given curves. y = 8x' + 3 and y = 8x + 3 square units

A:

Q: Find the area b0 und by Curves the y3= X-3

A: The region is bounded by y=9x2-36, y=0, x=1 and x=3

Q: 1- Find the area of the region enclosed by the line y=4x and the curve y=x³ + 3x.

A: To. Find thhe area of enclosed region

Q: Sketch the region enclosed by the curves y = x2  and y=4x-x2 and find its area.

A: Given: y=x2 and y=4x-x2

Q: 1. Find the area of the region bounded by the graphs of the equation y = x and y ?.

A:

Q: Sketch the region enclosed by the given curves andfind its area. y = 12- x 2   , y = x2 - 6

A: Given curves are y=12-x2y=x2-6

Q: find the area baunded by the curves linest ytAx-8 =0 and y=x

A:

Q: 2. Find the area of the region enclosed by the parabola y = 2 – x² and the line y = -x.

A:

Q: Find the area of the region enclosed by the curve y=x2-2 and by the line y BO 2. y=x²-2 y=2 Co

A: The equation of the curve is:                                            y=x2-2  The equation of the…

Q: Sketch the region bounded by the graphs of the equations and find its area. y =x² +1; y=x+1

A: