Decide whether to integrate with respect to x or y.  y = x3 − 7x,  y = 9x   Find the area of the region

Q: 1. Find the area of the shaded region. 3 y = Vx X 4 y = -x а.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: The area bounded by y = e*, y = 2, and the y– axis is equal to

A:

Q: Find the area of the shaded region. y 4 3 2 y = v x (1, 1) X = 8 1 y = 4 CO

A: Explanation of the answer is as follows

Q: Determine the area of the given region. y = x + sin x y 4 3

A:

Q: 3 Shade the area of the region bounded by, x² + y? p Hence, find the area of the specified region…

A: Giv

Q: Shade the area of the region bounded by, x² + y? p Hence, find the area of the specified region…

A: we use integration to find area between curves

Q: Sketch the region of integration, then change the order of integration and evaluate 256 4 1 dxdy. x5…

A:

Q: Find the area of the shaded region.

A: The given shaded region is

Q: According to the figure identify the region and =x + 1 integrate f (x, y) = 2xy -4 y = x 92 -2 -2

A:

Q: What is the area of the region enclosed by the curve y=e^x and the lines x=-1 and y=3?

A:

Q: Find its area.   y = 3/x,    y = 12x,    y = 1x/3,    x > 0

A:

Q: 4. Find the area of the shaded region by integrating with respect to 'y', y-2x-4 1.-2)

A: The area between two curves f1 and f2 between the points y=a to y =b is given by; A=∫ab(f2-f1)dy

Q: Find by integration the area of the region bounded by the curves y=x2 and y=−x2+4x. Include a quick…

A: Use area under curve

Q: Q3 Shade the area of the region bounded by, x² + y? p Hence, find the area of the specified region…

A: The given question is solved below.

Q: Solve by integration: A region is bounded between x=0, y=1, x=1, and y=(x-1)^2+1. What is the…

A:

Q: Find the area of the region by integrating (a) with respect to x and (b) with respect to y. (c)…

A: Given: Function y = x2, y = 6-x Calculation of points of intersection: We find points of…

Q: Shade the area of the region bounded by, x² +y? p Hence, find the area of the specified region…

A:

Q: Evaluate ∭6x dV for the region W: x^2+y^2 ≤ z ≤ 36.

A:

Q: Consider the following. y = x2 y = 2 – x (a) Find the area of the region by integrating with respect…

A:

Q: find the Area between x=y^2-2, x=e^y. Y=1, y=-1.

A: Given The region, x=y2-2, x=ey and y=1, y=-1 To find the area of the given region.

Q: Find the area of the given region using any method. 1 y = 9 - x2 y 1.5 1.0 0.5 -1 1 -0.5

A:

Q: Consider the following. y = x2 y = 6 - x 10 8 2- -2 6. (a) Find the area of the region by…

A: This question is based on application of integration.

Q: Find the area of the region bounded by the graphs of the equations y = 1+ Vx y = 0,x = 0, and x = 8

A: Solved below

Q: Determine the area of the region bounded by y = xvx2 + 1, y = 1 e 2x, x = -3 and the y-axis. %D

A:

Q: Consider the following. y = x2 y = 6 - x 10 (a) Find the area of the region by integrating with…

A:

Q: 9x2. Decide whether to integrate with respect to x or y. Then Sketch the region enclosed by y = 2x…

A:

Q: Consider the following. y = x2 y 20 - x 25 20 15- 10- 5- -10 -5 10 15 20 (a) Find the area of the…

A: Topic = Application of integration

Q: Shade the area of the region bounded by, x2 +y2sp2 and |x| + |y| 2p Hence, find the area of the…

A:

Q: Find the area between x = y2, x - axis, x =y +2 To find the intersect points

A:

Q: Find the area of the region bounded by the graphs of the given equations by partitioning the y-axis.…

A: Given equations: y=lnxx=ey=0 Its graph:

Q: Q3 Shade the area of the region bounded by, x? + y? 7 Hence, find the area of the specified region…

A: Area between curves.

Q: Find the area between y =x+2 y = -2x+4 y = (2-x)/2

A: equation  at x=0 at y=0 y=x+2 y=2 x=-2 y=-2x+4 y=4 x=2 y=(2-x)/2 y=1 x=2 here we need to…

Q: Consider the following. y = x2 y = 2 – x -4 -3 y -1 -1 (a) Find the area of the region by…

A:

Q: Find the area of the region bounded by y=4x^2, y=0 and x=4. Solve in two ways.

A: Let us consider the curve H(x)=f(x)-g(x) then area between the interval [a,b] is obtained as…

Q: Find the area of the shaded region. y y= xV4 x y=0 2 y= 0 -2 SQuare units 21

A:

Q: When P = 3 Q3 Shade the area of the region bounded by, x² + y? 7 Hence, find the area of the…

A:

Q: Consider the following. y = x2 y = 12 - x 16 14 12 10 y 8- 6- 2 10 12 (a) Find the area of the…

A:

Q: Find the area of the shaded region. y y= 5 x- x (3, 6) 4 2 y= 2 x X -1 1 2 3 4 5 CO

A:

Q: Shade the area of the region bounded by, x2 + y? p Hence, find the area of the specified region…

A: Given problem is :

Q: Find the area bounded by y=2*, y = 2x2, the y - axis and x = 1 Write your final answer in two…

A:

Q: Consider the following. y = x2 y = 2 - x -2 (a) Find the area of the region by integrating with…

A: Given two curves y=x2 and y=2-x It is given to find area of the region by integrating with respect…

Q: Shade the area of the region bounded by the parabola, x 2+p2-2(p+7)x-5y+59 + 14p 0 and the straight…

A: Equation of the parabola: x2 + p2 -2p+7x - 5y + 59 + 14p = 0               (1)Equation of lines:x =…

Q: Find the area of the shaded region. y =x – 2 2- y= Vx 1+ + 3 4 -1 square units 2.

A: Given that: To find: Area of the shaded region.

Q: Find the area bounded by y=2%, y = 2x2, the y - axis and x = 1 Write your final answer in two…

A:

Q: Q3 Shade the area of the region bounded by, x² + y? <p² and |x|+ |y| 2 p Hence, find the area of the…

A:

Q: Find the area of the shaded region y = 5x-x² y=x 1 (a) (4,4) YA x=y²-2 y=-11 1 (b) y=1 x=e²

A: 1aThe area is bounded by the curves y=5x-x2 and y=x.

Q: 1. yA 2. y=Vx (1, 1) x=4 s y=D1/x²

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Shade the area of the region bounded by, x? + y? s p? and |x| + \y] > p Hence, find the area of the…

A: Answer

Q: Shade the area of the region bounded by, x + y's 36 and x| + lyl 2 6 Hence, find the area of the…

A:

Q: Solve the area bounded by y³+y²+10 = (x+1)², the lines y=−2 and y=2 *

A: The given problem is to find the area bounded by given region and between the given lines y=-2 and…