Calculate F.ds where F = (3xy², xe², z³) S is the surface of the solid bounded by the cylinder y² + z² = 25 and the planes x = 1 and x = 2

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Q: 2p + q − (α + 1)r = −3 p + 3q + 2μr = 8 −2p + 4q − (β + 4)r = 11   Find an expression for p in…

A: 2p + q − (α + 1)r = −3 p + 3q + 2μr = 8 −2p + 4q − (β + 4)r = 11α=0, β=6

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Q: 0=(²¹) = (0) 0 = 12 + 1/1⁰

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Q: Question #2. (a) Change the following rectangular coordinates to spherical coordinates (p, 0, 0) (1,…

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Q: 6. Consider the vector field F(x, y, z) e²7 +(x³ + e²) j+ye² k. Find a potential function G(x, y, z)…

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Q: Solve using Gaussian or Gauss-Jordan elimination. w+ x + y + z = - 4 3w+3x-3y-3z = - 12 6w-3x+3y + z…

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Q: Use expansion ²** to approximate the value of 0.1 Lou 0 sin (3x) dx O 0.0148875 O 0.14856 O…

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Q: Solve the following initial value problem. -2 6 dy = ( − ² -1 ) y, -Y dt -2 = (-²) Y, Y(0) =

A: Here we first solve the system using matrix method then use the given initial condition to find the…

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Q: (a) Show that [Q(√3, i): Q] = 4. (b) Find the three subfields K≤Q(√3, i) such that [K: Q] =2.…

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Q: Q2: Using the direct substitution method find the extreme point of the following function max f = x₁…

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Q: Sketch the following function: g(x) = |3x + 21

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Q: Q 1 The region D above lies between the graphs of y = −5 − (x − 1)² and y = −9+ = (x + 1)³. It can…

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Q: and question d

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Q: Using the z-score table for a normal distribution, find P(z > 0.86) 0.3051 0.1949 0.8051 0.6102

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Q: Determine the equations of all asymptotes for the function f(x)=x ^3 - 5x/(x ^2 -

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Q: establish a bijection between the power set of a set S and the set of functions S—>{0, 1}

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Q: Verity Green's Theorem for where R is the disk z² + y² ≤ 1. DR -y dr + r' dy.

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Q: Solve the linear programming problem: Minimize W = y₁ + y2 + 5y3 subject Y₁+ Y3 2 21 y₁ + 2y2 + 3y3…

A: Min W =     y1 +   y2 + 5 y3 subject to     y1       +   y3 ≥ 21     y1 + 2 y2 + 3 y3…