Sketch the region enclosed by y=3xy=3x and y=2x^2y=2x^2. Decide whether to integrate with respect to xx or yy. Then find the area of the region.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Here we have to find the area.

Q: Find the centroid of the region bounded by the graphs y = x2 and y = 5x + 6. NOTE: Enter the exact…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: The given region area: y=7x2, y= x2+5

Q: Find the centroid of the region bounded by y = 9 – x² and the x-axis.

A: Given, y=9-x2or let fx=9-x2and x-axis y=0or let gx=0

Q: Sketch the region enclosed by the curves and find its area.  y=x, y=2x, y=-x+4

A: Calculus Question

Q: Find the area of the region enclosed by the curves y = x2 and y = x + 2, integrating with respect to…

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Q: Sketch the region enclosed by the curves and find its area. y = 7x2 .y = 7 Vx,x = 1 and x = Enter…

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Q: Solve by integration: Find the centroid of the region bounded by y=x3+3 and the lines x=0 and y=0.…

A: given functions are                                              y=x3+3x=0y=0…

Q: Sketch the region of integration. (Select the correct graph.) "In 3 dy dx In y y y

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Q: Sketch the region enclosed by y = 3x and Y = find the area of the region. 2x². Decide whether to…

A: Given that y=3x and y=2x2To find : Area between the region.Solution :

Q: Sketch the region enclosed by y = 2x and y = 3x. Decide whether to integrate with respect to r or y.…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Sketch the region enclosed by x + y² = 30 and x + y = 0. Decide whether to integrate with respect to…

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Q: Find the area of the region bounded by y = 2x , y = -8x and y = 2 %3D using double integral. Leave…

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Q: Sketch the region enclosed by x + y x + y = 0. Decide whether to integrate with 6 and respect to x…

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Q: Find the area of the region enclosed by the curves y = x² and y = 5x by integrating with respect to…

A: To find The area of the region enclosed by the curves y=x^2 and y=5x by integrating with respect to…

Q: Sketch the region enclosed by a+ y = 30 and +y = 0. Decide whether to integrate with respect to x or…

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Q: Find the centroid of the region bounded by the graphs of y = x² and x + y = 506. NOTE: Enter the…

A: Centroid of the region y=f(x) and y=g(x) on [a,b] :            x¯ = 1A ∫ab xfx-gx dx  and   y¯ =…

Q: Sketch the region enclosed by y=4x and y=3x^2. Find the area.  Im having trouble showing my work to…

A: Find the area bounded by the curves.

Q: Sketch the region enclosed by the curves and find its area. y = x, y = 3x, y = -x + 4

A: Given; y=x, y=3x, y=-x+4   Now find the point of intersection between the line y=-x+4 & y=3x.…

Q: Sketch the region enclosed by y=3x and y=2x^2. Decide whether to integrate with respect to xx or yy.…

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Q: Sketch the region of integration, reverse the order of integration and evaluate the integral. ∫10…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Sketch the region enclosed by a + y² = 6 and æ + y = 0. Decide whether to integrate with respect to…

A: In the above figure, area enclosed by the curves x+y2=6 and x+y=0 is given.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Since the equation of the form, y=ax2 is the equation of the vertical parabola passing through the…

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Firstly let's find x intercept. y = 2x and y= 6x2. Therefore, 2x=6x2. Therefore, 2x-6x2=0 Therefore,…

Q: Find the area of region enclosed by the curves. Hint: using integration y=lx²-4l and y=(x²/9)+4

A: The area under the curve: - Three easy procedures are often accustomed to figure the realm…

Q: Solve by integration: What is the area of the region enclosed by the curve y=x^2 and the lines…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: The equation of the curves are,     f(x)= y= x2 and g(x)= y= 4x-2x2

Q: Find the area of the region bounded by the given curves. Decide whether to integrate with respect to…

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Q: Sketch the region enclosed by x + y² = 42 and r + y = 0. Decide whether to integrate with respect to…

A: Given curve is: x+y2=42 Line is: x+y=0 The region enclosed by these two is shown in the figure…

Q: Sketch the region bounded by the curve y = x(x – 1) and the linear equatio x at (-1,2). Calculate…

A: Given: y=x(x-1)

Q: Find the area and centroid bounded by 2x^2+4x+y=0 , y=2x. Graph

A: The region bounded by the curves 2x2+4x+y=0 & y=2x is as shown below.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y…

A: Let's find area enclosed by given  curves.

Q: Use double integration to calculate the area of the region 2 encolsed ye and x+y=2.

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Q: | = x – 2 and y =

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Q: Sketch the region of integration and evaluate the integral ](x + 2 yʻ )dydx

A: We sketch and evaluate the given integral as shown below

Q: Sketch the region enclosed by x + y² = 20 and x + y = 0. Decide whether to integrate with respect to…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Follow the procedure given below.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to z or y.…

A: Here we sketch the region and then we find thepoint of intersection and then find the area bounded…

Q: sketch the region enclosed by the curves and find its area y=1/x, y=2x-1,y=9

A: Consider the following graph:

Q: Sketch the region enclose by y=x2-9x+21 and y = -x2+11x-27. Decide whether to integrate with respect…

A: Given data is : y=x2-9x+21 and y=-x2+11x-27  To sketch the region.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: The graph is shown below:

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: Sketch the region enclosed by y = 4x and y= 6x². Decide whether to integrate with respect to x or y.…

A: Given query is to find area under the curve.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Find the area of the region by bounded by y- 4x and y = 2x – 4 by integrating with respect to y. %3D…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Sketch the region enclosed by the curves and find its area. y = x, y = 5x, y = -x +4 AREA =

A: Given that     y = x , y = 5x , y = -x+4 .

Q: Sketch the region enclosed by x+y^2=6 and x+y=0. Decide whether to integrate with respect to x or y,…

A: We first graph the given equations. They intersect at (-3,3) and (2,-2)