Evaluate ff, (x - y + 1)dxdy, where R is the region inside the unit square in which x + y = 0.5. |

Q: Evaluate 3 | ((2 – 1)32, (3 + t)2, 1)dx. 3/2 3/2 -3

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Q: integrate |8x2 x+7 dx 8xx+7 dx =| Vx+7dx

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Q: Find the area between the curve y=x3-6x2+8x and the x-axis. Graph it

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Q: Find the dot product of TH x = and y = 3

A: To find the dot product of two vectors, you multiply the corresponding components of the vectors and…

Q: c) Evaluate [| 4xy where D is the portion of x + y = 2 in the 1* quadrant.

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Q: Find the area of the shaded region. y 3y= 2 x+ 16 (1, 6) 6 4 (2, 4) (-2, 4) y = 8 – 2x -4 -2 2 4 2.

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Q: Find the area of the shaded region. (-5е — 5) 2 y 14 (1, 5e) 12 10 y = 5 e 8 6. 2 y = 5xe -1.0 -0.5…

A: The area of the given shaded region which is bounded by the curve y=5ex , y=5xex2  and x=0  is…

Q: Find the area under the curve 2x+3y-6%3D0 from x+63D0 to x-19%3D0

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Q: x2+1 - dx x4-x²+1

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Q: Find the area of the shaded region. x = y² -10 y (-75/4, 15/2) -30 - 20 x=5y-y -10 y 10 <-5 X

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Q: dx Vx + a + Vx + b

A: Given: The integral is ∫xx+a+x+bdx

Q: •B Find 2xVx- 5 dx, where B > 3.

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Q: 5. (2x + 3V )dx 2х + 3уx

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Q: Compute 3+r+1 dx x2

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A: Given ∫x(x2+1)3dx

Q: Use a change of variables to find the area of the curved rectangle above the x-axis bounded by…

A: Given,Area bounded by:y24-1≤x≤4-y216 , y264-16≤x≤9-y236 , x≥0