6- Region shared betweenthe cadioids (r=1+ coso)and (r=l-Caso).

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: Select the graphical representation of the region R, which satisfies that: the equation is in the…

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Q: 26 Find the area of the region bounded by, c. The curve y= In x, the lines x 4 and the x-axis. d.…

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Q: Find the centroid of the region bounded by the graphs of y = x² and y = 64. NOTE: Enter the exact…

A: Centroid of the curves

Q: Sketch the region and find its area (if the area isfinite).   S = {(x, y)  x ≥ 1 ,  0≤ y ≤ 1/(x3+x…

A: Consider the equations in the given statements. First of all we will plot the curves and find out…

Q: 2. Region bounded by y= x, x=0 and y=15, rotated about the y-axis

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Q: Find the centroid of the region bounded by the graphs of 343 y = x, x = and y = 14. y? * NOTE: Enter…

A: We have to find centroid of given bounded region.

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

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Q: Which method (cross section or shell method) would you need to use to rotate the region bounded by y…

A: Let the region be R which is bounded by y=x72-sinx, y axis and 0≤x≤1 around the line x=-2  Since,…

Q: Draw the region bounded by the curves r=√(3cosθ) and r=3sinθ and find its area.

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Q: Find the area of the region:   y=7/2 sin(πx/6), y= 7/6x

A: Solution -

Q: Find the centroid of the region bounded by the graphs y = x² and y = x + 30. NOTE: Enter the exact…

A: We know the expression for the centroid; x=1A∬xdydx & y=1A∬ydydx Where; Area=A=∬dydx or ∬dxdy…

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: 2 Find the location of centroid of shaded area with respect to reference axes x ar F16 cm

A: Given:

Q: 3. Region bounded by Y = rotated about the x-axis ,x=0 and y=15,

A: By shell method

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: Find the area in which region lies in first quadrant bounded by v = Vũ, u – axis and line v = u – n.…

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Q: 9) Find the centroid of the region bounded by the graphs of y =-x“, y=0, and x=3.

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Q: Sketch the region and find its area (if the area isfinite). S = { ( x, y) | x > = 1 , 0…

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Q: y = sin æ , y = cos(2x), – < < 6.

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

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Q: 4. Region bounded by y = x2, x=0 and y=15, rotated about the y-axis

A: Imagine the plot and rotate it about the axis specified and the resulting figure will lead to the…

Q: Find the area in which region lies in first quadrant bounded by v = ³√(u) , u-axis and line v = u -…

A: In this scenario, there is a curve and a straight line. First we need to find the intersection…

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: 2.2. Sketch the region enclosed by y = VI-1, 1- y = 1 and calculate its area.

A: Area between the curves

Q: 3. Region bounded by y = x2, x=0 and y=15, rotated about the x-axis %3D

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Q: x=y² – 4y (-3,3) wto rigin

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Q: Find the area of tge region bounded by the loop of y^2 = x(5-x)^2 -about plane area, complete…

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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: Find the centroid of the region bounded by the graphs of y = x2 and y = 16. NOTE: Enter the exact…

A: First find the shaded region between the two given curves.

Q: 23) Find the area of plate bounded by y = x- 1, y = 3-x and y = 0.

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Q: Find the centroid of the region bounded by the graphs y = x² and y = x + 30. NOTE: Enter the exact…

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Q: - the region 1, x = 0, y = %3D

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Q: about y1 V= Sketch the region.

A: Hey, since there are multiple subparts posted, we will answer the first question. If you want any…

Q: Find the centroid of the region bounded by the graphs y = x and y = x + 30. NOTE: Enter the exact…

A: Topic- graph point

Q: 1. Region bounded by y= x, x=0 and y=15, rotated about the x-axis

A: Volume of solid revolve around y axis

Q: Find the centroid of the region bounded by the graphs y = x² and y = x + 42. %3D NOTE: Enter the…

A:

Q: Find b such that the line y = b divides the region bounded by the graphs of the equations into two…

A: Given: y = 9 - x2,  y = 0 To find: The value of b such that the line y = b divides the region…

Q: 16. Find area of the region enclosed by the lines and curve: x = y3 – y2 and x = 2y 3D

A: From the given curves the bounded region is shown as below. Now find the point of intersection…

Q: 4- Find Ix and Iy For The Region Bonded by y=x² and y=Vx 5- Find the area of The Cirde x+9=4 From…

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Q: 3. Base region is th. x+y = 4 %3D

A: To Determine :-  The volume of the solids formed by the given cross-sections. The base region is the…

Q: Find the centroid of the region bounded by the graphs of y = x and x + y = 506. %3D NOTE: Enter the…

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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: The centroid is the center of mass of a region where it can be balanced.

Q: Find the centroid of the region bounded by the graphs of y = x2 and y = 1. NOTE: Enter the exact…

A:

Q: 35. Use integration to find the area of the triangle whose vertices are (0, 0), (1, 3) and (1, 5).

A: To find the area of triangle using integration method

Q: Find the area in which region lies in first quadrant bounded by v=∛u ,u-axis and line v=u-n. Where…

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Q: 8. Consider the region bounded by y =- * , y = Vx, x=1. х

A: Let us consider the curve y=f(x) and y=g(x) The area under the curve y=f(x) and y=g(x) in the…

Q: Find the centroid of the region bounded by the graphs of y = x2 and y = 4. NOTE: Enter the exact…

A: Find the centroid of the region bounded by the graphs of          y=x2 and y=4

Q: Find the centroid of the region bounded by the graphs of y = x and y = 64. NOTE: Enter the exact…

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Q: Region bounded by y=Vx, x=0, and y=2

A: We have to find out the volume of the given solids.