Suppose that f(x, y) D = y 1 + x = over {(x, y) | 0≤x≤ 3, -x ≤ y ≤ √x}. a Then the double integral of f(x, y) over D is [[ f(x, y). dA D Round your answer to four decimal places.

Q: 16) Which function will shift y= vx right 4 units and up 1 unit? A) y = Vx + 4 +1 B) y = Vx + 1 C) y…

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Q: 4x-y<-1

A: Given  4x-y&lt;1 Can be rewritten as y&gt;4x-1 So we take the area above the line y = 4x -1 And all…

Q: 11. Evaluate the following integrals: a) (-3x+1 dx b) S²³+6x-2 x*+6x²

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Q: Without evaluating the integral, show that √ √ 2 ² 4+1 4₂ | 15 | 1/2 dz where C is the line segment…

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Q: Let 10yx⁹ F(x, y, z) = (9x8 ln(5y² + 3) + 3z¹0)i + (- +4z)j + (30xzº + 4y – 4ñ sin лz) k 5y² +3 and…

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Q: Use the definition of differentiability to show that f(x, y) = y² – xy+5x is differentiable…

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Q: If f (s Continuous then on -fex) True or felse?

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Q: Let F(x , y , z) = g(y) + h(z) + 5 In(x - 2) , where g(y) and h(z) are differentiable functions of…

A: If a function is a function of more than one independent variable then the derivative of this…

Q: Let f(x, y) = √150 – 4x² – 2y² Evaluate f(1, 1) vad

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Q: 5. Find the linear approximation of f (x, y, z) = x³y² + 22 at the point (2, 3,4). Use this to…

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Q: Let f(x, y) = 6e sin(7y) af af dy

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Q: Determine the integral: x²cosxdx A x²sinx + 2xcosx-2sinx + C B x²sinx-2xcosx-2sinx + C C…

A: integration

Q: Compute f, for f(x,y)=xln(xy). %3D

A: We can find the answers as below.

Q: Let f(x, y) = 2x² + 4y² + 2xy+ 10x + 3y + 9 Find D = frr · fyy - i

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Q: Suppose that 0.3210 approximates 0.3245. How many significant digits does the approximate have? O 3…

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Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

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Q: Let F(x, y, =) = (6x° In(5y² + 9) + 4=5) i + ( 10yx + 7:)j + (20xz4 + 7y – 37 sin 72) k 5y2 + 9 and…

A: To evaluate