a²u a²u Q5) Find u such that + 3²4€ = 0 ay² ax² u(20, y) = 1 where h = k = 5 with u(x,0) = 0.5x², u(x, 10) = 0, u(0, y) = 0,

Q: Given that f(r, y, 2) = }2 + }y – 322 – 5xyz. Calculate: (a) f.. (b) f., (c) f., (d) f.. Given that…

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Q: Find fx, fy, fz. fx = + +2² f(x,y,z) = e¯ (4x²+2y² 12=7 Z

A: f(x,y,z)=e-(4x2+2y2+z2)we know (i)  ∂ ∂x(xn)=nxn-1(ii)  ∂ ∂x(constant)=0

Q: function fo) = 7X1+10x10x3_4 Qn Antiderivative of fo) is F(x) = Axn+ Bxm, CxP+Dx: A= 710 %3D where…

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Q: Solve for u(x, t): 1 3ux + 4u=0, u(x, 0) = 1 + x²

A: Given that the differential equation is:                             To find the solution of the…

Q: The equations xy² + 8xzcos(u) + ye" = 16 and xyz + xev – 9u?v² = 27 are solved for u and v as…

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Q: Consider the simple lincar model Y, = Be + B,x, + C. where -N(0,0²); i= 1,2, --,n. 1. Show that a)…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts(a, b-i,…

Q: Show that (u - v) × (u + v) = 2(u × v)

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Q: Find V (V x F), if F(r, y, z) = 7e""i + 2xe"j- 3e""k.

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Q: The equations zy? + 8xzcos(u) + ye" = 16 and r*yz+xe" – 5u²v² = 15 are solved for u and v as…

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Q: Find r'(t), r''(t), r'(t) · r''(t)

A: According to bartleby guidelines we supposed to do the first three subparts of multiple subparts…

Q: If FGx) = -2x+s firid f(z)

A: Given: if f(x)=-2x+54To find: f(1)

Q: 16. Find the values of r so that the function y= e™ satisfies the equation y" – 4y' – 21y = 0. A)…

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Q: Sv.Vdxdy = dxdy = ду 2 + JR V.(6,x)-V,(b,x)]áx + [ [7 (a, y) –V,(0,v)ky.

A: Here is the solution of the given problem.

Q: Let F(x,y,z) = 3x²y + 6y³ – 5xz². Find VF ,V²F¸ K×VF, and V×VF.

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Q: The function u(x, y) obeys, 8²u Ərəy = -2e

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Q: Two sharpshooters will simultaneously shoot once at a target. Let Xi , i = 1, 2, be marksman i's…

A: Given that, the errors are modelled by X1~N(0,0.5),X2~N(0,1). To solve this problem z table values…

Q: d) Let g(x,y) = (3x + y)2(2y + 1) and h(x, y) = 6y2(2x + y) h i) Find дх’ ду’ дх’ ду

A: The given functions are  and

Q: Find V x (V x F) if F(x, y, z) = 5xyj+ 9xyz k. V × (V × F)

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Q: Substitute r = 1 into + p(z)y=f(z)y and show the result is linear. Write your answer in linear…

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Q: Determine the vesulting equaton Determine the vesulting equaton after using the suitable…

A: We have to find

Q: B/ If Ø = (x³y²z) and A = 2xzi - 3y2j+ 3xy²k Find a(A) at ду дх the point (2, -1, 3)?

A: When partial derivative is done with respect a specific variable, then other variables are treated…

Q: uppose that x + y = 2. What is y" at the point (1, 1)?

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Q: 16. Where does the smallest value f(r, y) + 3ay + y occur on the rectangle (-2, 2) x (-3, 1]? a) It…

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Q: 2 2 ex: f(x, y, z) = x² - by ² fx (x, y, z) = fy(x, y, z) = fz(x, y, z) = 2 ezete

A: f(x, y, z) = (x2 - 6y2)/(y2 + 2z2)    => fx(x, y, z) = ∂/∂x [(x2 - 6y2)/(y2 + 2z2)]…

Q: = Consider the stochastic (Itô) integral: I moment E[1²]. dB(t) for a > 0, find its second

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Q: Solve for u(x, t): 1 3ux + 4ut= 0, u(x, 0) = 1 + x²

A: The given equation is a first order linear partial differential equation (PDE) of the form a*u_x +…