Find the directional derivative of the function at the given point in the direction of the vector v. g(p, q) = p4 − p2q3,    (2, 1),    v = i + 3j

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A: To find Le-t t sinh2(2t) 

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Q: Use Stokes' Theorem to evaluate fF.dr if F(x,y,z) =( z-y)i +(x+z)]- (x +y)K and C is the curve of in...

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Q: Analyze the polynomial function f(x) = (x + 8)2 (2 - x) using parts (a) through (e). (a) Determine t...

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Q: Interpolate the value at 5th position from the data: 3 5 7 8 Independent variable : Functions : 170 ...

A: Introduction: The formula for Lagrange interpolation is given by, f(x)=(x-x1)(x-x2)....(x-xn)(x0-x1)...

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Q: 7. a) A blend of coffee is made by mixing Coffee A with Coffee B in the ratio 3: 2. Coffee A costs €...

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Q: Solve the following initial value problem and present its particular solution: 1. y" + y' + 9.25y = ...

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Q: h(x) = 100 + 3x sin 18 Let P(x) be the linear approximation of h(x) at x = 3. (a) Find P(x). Show fu...

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Q: Topic: Set Identities Given: Using set identities, prove that A − (B ∪ C) = (A − B) ∩ (A − C)

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Q: Let f : Rn → R be convex with dom(f) = Ω ⊂ Rn an open set. Show that f is a continuous function on Ω

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Q: Find the solution of the initial value problem Y' = AY , Y (0) = [1, 2] if we know that A has eigenp...

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Q: How long will it take $5,000 to grow to $20,000 if it is invested at 7% compounded monthly? _____ y...

A: We know the formula for compound interest, A = P1 + rnnt Where,  A = Final amount.              P = ...