Find the area of the region that is enclosed between y=6x2−x3+xy=6x2−x3+x and y=x2+7xy=x2+7x.   Part 1: Where do the graphs intersect? (hint: there are 3 intesection points).  . Note : Use comma to separate your answers. Part 2: The area is

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

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Q: 2. Sketch the region whose area is represented by the integral 6 Siz dxdy.

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Q: Find the area of the region bounded by y = ex and y = 12 − ex and the y-axis.

A: Given, y=exy=12-ex and the y-axis   Find the area bounded by the region:

Q: Find the area of the region enclosed by y = 6x² and y = x² + 1. Round your answer to three decima…

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Q: Sketch the region whose area is given by the definite intergral. Then use a geometric formula to…

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Q: Sketch the region and find its area (if the area isfinite). S = { ( x, y) | x > = 0 , 0…

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Q: Sketch the region bounded by the graphs of y =3y = 0,x = 4, and x= 7. Then compute the area. Area is…

A: Solution is given below:

Q: find the area of the region enclosed by the curves y = 3x, y = -3 and y = 4 – x using integration.

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Q: Find the area of the region enclosed between y=2sin⁡(x) and y=4cos⁡(x) from x=0 to x=0.9π. Hint:…

A: We know that definite integral gives us the area covered under the curve and the coordinate axis.…

Q: Find the area of the region bounded by y = la, y = 0, x = 0, x = 2 %3D Give your answer to the…

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Q: 1. Find the area of the region bounded enclosed by the parabola y? = x and x? = y. %3D

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Q: Sketch the region whose area is given by the definite integral. - Ix dx AA 5- y 4 3 2 2- 1- -8 -6…

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Q: Find the area of the region enclosed between y=2sin(x) and y=2cos(x) from x=0 to x=0.3π. Hint:…

A: To find the area enclosed between y= 2sin(x) and y= 2cos(x) from x=0 to x= 0.3

Q: Determine the area of the region bounded by y = xvx? + 1,y = e¯i,x = -3 and the y-axis.

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Q: Sketch the region and find its area (if the area isfinite). S = { ( x, y) |   -2< x <= 0  , 0…

A: The sketch will be as follows

Q: Find the area enclosed by the given curves. 20) y = 2x - x2, y = 2x - 4 %3D

A: We first sketch the region using a graphing calculator

Q: Find the area bounded by y =2x and y = 9x - x2. Sketch the region.

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Q: Sketch the region enclosed by y = 4x and y 2x²!. Decide whether to integrate with respect to xlor y,…

A: In this question we have to find area of the region.

Q: Find the area of the region bounded above by y = −x² + 5 and below by y = 1.

A: Given, y=-x2+5 and y=1

Q: Find the area bounded by y=(1-x^2)^2 and y=0   Solve by drawing a figure to show the bounded…

A: From the given curve the bounded region is shown below:     Now using the double integral method to…

Q: Sketch the region whose area is given by the definite integral. The use a geometri formula to…

A: Explanation: Given that,                                        We will graph the function…

Q: 3. Find the area bounded by the curve 2x? + 4x + y = 0 and y = 2x. %3D Answer: 'n 'bs

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Q: A projectile fired downward from a height of 112 ft reaches the ground 2 seconds. What is the…

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Q: Find the area of the region enclosed by the line x = 2y and the curve x = y3 - y?

A: To calculate the area of the region bounded by the curves x=fy and x=gy, use the formula…

Q: Estimate the area under the graph in the figure by using(a) the Trapezoidal Rule, (b) the Midpoint…

A: Given

Q: 2. Sketch the region and find the area of the region bounded by y = -x? + 9 and the x-axis.

A: The region is bounded by the curve y=-x2+9=-(x-0)2+9 and the x-axis.

Q: Sketch the region whose area is given by the definite integral. Then use a geometric formula to…

A: Consider the provided integral, ∫-66 36-x2dx Sketch the region whose area is given by the definite…

Q: Sketch the region enclosed by the curves and find its area. y = e", y = e10, x = 0, x = ln 2 NOTE:…

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Q: Find the area of the region enclosed between y=3sin(x) and y=3cos(x) from x=0 to x=0.6pi.

A: y=3 sinx, y=3 cosx, x=0 to 0.6π

Q: Shade the area of the region bounded by, x 2+ y2sp? and |x| + ly| 2p Hence, find the area of the…

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Q: Sketch the region enclosed by the curves and find its area y = e", y = e6«, x = 0, x = ln 2 NOTE:…

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

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Q: Find the area of the region enclosed by the graphs of 1 1 1 – 16æ²' Y = 0, x = 0, and æ NOTE: Enter…

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Q: Find the area of the region enclosed by the graphs of 1 1 V1 – 36x2" y = 0, x = 0, and x 12 - NOTE:…

A: Area under curve

Q: Sketch the region whose area is given by the definite integral and then use a geometric formula to…

A: Given

Q: 6) Sketch the region whose area is given by the definite integral and use geometric formulas to…

A: The integral means the area between y=2x+4 line and x-axis, for 0≤x≤10. Or we can say that the…

Q: Sketch the region enclosed by the curves and find its area. y = e*, y = e³x, x = ln 2, x = In 3 AREA…

A: Consider the curves  y=ex,y=e3xx=ln2 , x=ln 3

Q: Sketch the region enclosed by the curves and find its area. y = e", y = e6", x = 0, x = ln 2 NOTE:…

A: Let's find.

Q: 5. Find the area of the region enclosed by y = 4 – x², y = 3x and r-axis.

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Q: Find the area of the region enclosed by the graphs of 1 1 y = 0, x = 0, and x = 8° V1 – 16x2 NOTE:…

A: The area bounded by the curves y=11-16x2, y=0, x=0, x=18 is shown in the figure.

Q: 1. Use integration to find the area of the given region R.

A: Determining intersection point of curves y=1-x and y+2x=-2 on solving we get y =4

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: Graph the region bounded by the curves y = e%z z, y = 2, x = 0, and x = 2 and find the area of this…

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Q: Find the area of the region bound above by y = 2cosx and below by y = secx,-π/4 ≤ x ≤ 1/4.

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Q: 4) Sketch the region and find the area bounded by + = 1, y = ±3 and y = x + 4 using double…

A: We have to find the area of the region.

Q: Sketch the region below the curve y = x – x² and above the x-axis and find its area.

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Q: Sketch the region enclosed by y=4x and y=2x^2. Decide whether to integrate with respect to x or y,…

A: The equation of curves are : y=4x and y=2x2

Q: 23.a) determine the area of the region bounded by x= -y²-3 and x= (y – 2)2 ? (Sketch the region)

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Q: The area bounded by the curve y=cos2x and the x-axis is revolved about the x-axis. What is the…

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