Solve the following system of differential equations. dw = -w + 52z dt dx 2x dt dy = 2w – 4y + 2z dt - dz -2y – 4z dt

Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

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Q: Calculus Find the following surface integrals. Here S is the part of the sphere x^2+y^2+z^2=a^2 that…

A: S is a surface given by parametric curve r u,v = xu,v i + yu,v j + zu,v k∫∫S   fx , y , z dS = ∫∫S…

Q: 1. Find the smallest distance from the point (0, c, 0) to the surface y = x² + z².

A: Consider the given surface, y=x2+z2 Distance of the point 0,c,0 to the surface will be,…

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A: according to our guidelines we can answer only three subparts, or first question and rest can be…

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A: Solution:-

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A: Construct all possible degree sequences with four vertices and no isolated vertex

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Q: H.W p.564/ use Trapezoidal method and Simpsons" 1) Jo Jitx? dx n = 4 2) S e** dx n = 4 3) . V1 + x3…

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Q: If E = 2ax + ay - 3az, F = ay - az, and G = 3ax + 5ay + 7az, determine E· G - (|F|^2)

A: Given that  E=2ax+ay-3azF=ay-azG=3ax+5ay+7az

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Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

A: Solution:-

Q: 3 4

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Q: Find Eigen values for following matrices A = [ 1 20 30 0 −1 40 0 0 8 ] ; B = [ 1 0 0 0 0 4 0 0 0 0…

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