Find a formula for u(x, t) that solves uxx=ut u(x, 0) = 1 (b) Vi (u(x, t) | ≤ ("(x,t)\ -12 for all to

Q: Find f'(2), where f(t) f'(2) = = u(t) · v(t), u(2) = (2, 1, −2), u'(2) = (7, 1, 8), and v(t) = (t,…

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Q: Solve Fyy + 3 Fxy + 2 Fxx 3D х, F (х, 0) 3D —2 х,д, F(х,0) — 0. ху XX F(x, y) =

A: To solve the below partial differential equation. Fyy+3Fxy+2Fxx=x,  Fx,0=−2x, ∂yFx,0=0

Q: f(X1,X2) = f(X1). f(X,) If are not 1 independent then ylgn

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: The domain of F(x, y) =x*y+ x*+ = 1 D =R²- {(0, -)} A O D=R BO D=R? .C O D=R-{}

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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: f(X1,X2)= f(X,).f (X2) If X,~N(H1,0) X2~N (H2,0) are not independent then ylgn ihi

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Show that P2(x) = f(a) + f'(a)(x − a) + c2(x − a)2 for each value of c2 satisfies the requirements…

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Q: Use the second derivative f"(x) = x(x+ 1)(x-3) to determine where the function f(x) is concave down.…

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Q: Explain the conditional expenditure function in equation (1). Express this equation in a traditional…

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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: 4) Let f(x) = - ax"+1 and a x) = 4X-3 5:) f(x) = Fxan? find the 3 first f,g and h. uch that (fo gohl…

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Q: (@) Explain why f(z) = 5z"- 6+ Zcos z-z'e the function is entire?

A: To explain why the given function is entire, given function is: fz=5z4−6+zcosz−z3ez

Q: let it be 2= f(x,y) and Y=tan' () and X = === In (r²+5²) Prove that fxx+fxy= (y² + S) (fr+fso)

A: We have to prove

Q: Pron a. If u = f(x, y), where r = e' cost, and y = e' sint, show that (3)³ + (3) ² - - ² [(-)* +…

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Q: a) If L-{F(s)} = f(t) and L-1{G(s)} = g(t), and if a and B are constants, then L-1{aF(s) + BG(s)} =…

A: If L[f(t)]=F(s), then f(t) is called the inverse Laplace transform of F(s). That is; f(t)=L-1[F(s)]

Q: 1) FIND F'): C P)= (x D(2x+)

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Q: Find y': y=V5+2 — 2 O y = 7-2x 2√5+2x-x² Oy = √2-2x 1 Oy = 2√5+2x-x² 1-x O y = √5+2x-x2

A: We have to find derivative of given function.

Q: Q1. Let f(x, y) = x²y + x + y² +3. (a). Find f(x, y). (b). Find dy

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Q: Let f(u) = u* and g(x) =u = 2x* + 6. Find (fo g)'(- 1). (fo g)'(-1)= (Туре an exact answer.)

A: Given:- Let f(u) = u4 and g(x) = u = 2x4 + 6   To Find (fog)'(-1).

Q: Determine coefficients a and b such that p(x)=x^2+ax+b satisfies p(1)=6 and p′(1)=0

A: Since you have posted multiple question in this question which are nt interlinked so i have solved…

Q: ) FIND F'6): c. f() - x 2- 3x2 F. f6) = VI-x

A: f(x)=x2-3x2differentiate w.r.t.…

Q: Find a formula for u(x, t) that solves Ихх сис u(x, 0) = and show that (a) \4(x, t) 51

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Q: Solve the IVP: X' = AX, where --() 3 1 0 2 -1 0 0 A = 3 and X(0) = -1 2

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Q: On which interval(s) is the function g(x) = xª – 8x² + 5 concave down?

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Q: A company determines that monthly sales S(t), in thousands of dollars, after t months of marketing a…

A: Find S'(t)?

Q: Use L and L to solue y' t 3y= f4) y)=5, where f4), (32)

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Q: 4. Given a function, fix), such that f(x)dx = 10, calculate: a) - r(«)dx b) S rx - 2)dx d) Stsx) +…

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Q: Solve F (t) = 1 + 2 | F (t- u) e " du. -2u

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Q: (x² + 1)ª (2.x + 1)3(3x – 1)5 y =

A: Simple differentiation problem....

Q: Find all residues of the function z (2-2) not including the residue at infinity. "

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Q: Find a general solution to (ax+b)y"+a(ax+b)y'- y3(ax+b)°, where a,b >0 with ax +b >0 for all x on a…

A: Given equation is  ax+b2y"+aax+by'-a2b2y=ax+b1b Cauchy Euler equation . To solve this put…

Q: Series Solution Method. In each of Problems 1 through 20, solve the given differential

A: Given,         y''+xy=0;        x0=0