1. Perform the double integration: and x = y³ in the first quadrant. SS (x - y) dA, where D is the region in the x-y plane bounded by y = x³

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Q: 15) Find an and a21 for the arithmetic sequence for which S₁7 = 187 and a₁7 = - 13. Hint: Use the…

A: For an arithmetic sequence, we have,S17=187a17=-13 To Find:ana21

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Q: 3. 4. "(x) = {x²³ - ex +1,x≤0 ,x>0 Is f continuous at x = 0? Why or why not? (x + 21,x ≤ 1 ((x -…

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Q: Solve by applying the simplex method to the dual problem. C=25x₁20x₂ + 25x3 +30x4 X₁ + X₂ 513 X3 X4…

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Q: 6. Let f(x)= log₂ (x-1)-3 (i) What is the domain of f(x)? (ii) Find the zero of f(x).

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A: a1=-19a2=14an=an-1+an-2 for n≥3

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Q: Find the parametric form of the equation of the plane passing through the points (1, 3, −1), (2, 2,…

A: Points :1, 3, -1, 2, 2, 3, and -1, 1, 1

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Q: Prove that sin 0 - COS 2 2 = 1 - sin 0.

A: L.H.S. =sinθ2-cosθ22R.H.S. =1-sinθ

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Q: π VII. Calculate ||vxw|| if ||v|| = 2, v w = 3, and the angle between v and w is

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Q: b Verify that a transformation of the independent variable from a to y, defined by (1-cos(Ty)), x =…

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Q: Exercise 19.7. Solve the heat equation Ju Ət with Neumann boundary conditions = J²u მ2 Ju əx for t≥…

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Q: Consider the linear system Ax = b where [2 1 01 02 A = 1 LO 0 41 and b = 1 剧 L2. [2] Find the…

A: We need to solve for 'x' using inverse method. We have  Ax=b⇒A-1Ax=A-1b⇒Ix=A-1b⇒x=A-1b