The divergence and curl of the function f(r, 0, q) = (r* sec 0)e, is ..... O (4r^(3 ) sece)er O ( (4r) ^(2 ) sec0)er None of these. O (4r) ^(3 ) sece

Q: (b) Verify that the following function is harmonic u(x, y) = −e sin x - 2e-siny. Find a harmonic…

A: Here we have to verify that the function is harmonic and then find the harmonic conjugate.

Q: fn cte USE VOUR SMARTPHONE FOR Reviews ideos- Features Specs - SuPport SCAN Standard data rates may…

A: In part a we will differentiate using product rule of differentiation. Hindi movie in part be we…

Q: 8.) Let fx)= 2x³+3x +4 Use the limif definition of the derivative to calculate the derivative of f:…

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Q: Using derivative rules (NOT definition of the derivative), prove that (secx)' = sec x tan x. Hint:…

A: We have to prove that secx'=secx·tanx, by using the derivative rule without using the definition of…

Q: Using the table, I) If A=f+2g, then A'(3)= II) If B= f * g, then B'(2)= III) If H(x)= root f(x),…

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Q: Q2] Find the analytic function F(z) if u = coshy.cosx, (B.C. v-0 at x=0)

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Q: 5. nts) Let F =, use Green's Theorem to evaluate F. dr where the curve C is C the curve shown in the…

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Q: (z)dz

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Q: tion 16 of 17 Let P be the tangent plane to the graph of g(x, y) = 18 – 9x - 18y at the point (4,…

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Q: 7. F- dr from (0,0) to (3,9) along the curve y=x' if F(x, y, z) = 4 xyi + 3xy'j Evaluate

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Q: Assume that f: R→ R and g: R → R are infinitely differentiable functions. Prove the following…

A: We have given that ,  are both infinitely differentiable.We need to prove that , We will use…

Q: If f(x) = 7x5 - 6e", find: ƒ'(x) = ƒ' (1) = ƒ''(x) = ƒ'' (1) =

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