Let u(x,t) be the bounded solutions of du d²u =0_with_u(x,0)==== at ar lim u(1,1) equals 1-10 (a.)-1/2 (b) 1/2 (c)-1 (d) 1 2-1 Then

Q: If f:X → Y is a bijective function,-3 then (f^(-1)•f)(x)=(fof^(-1) )(x), XEA

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Q: Find all local maximum and minimum points of y = 2 + 3x − x³ by the second derivative test.

A: y = 2 + 3x - x3    => y' = dy/dx = 3 - 3x2 = 0 (set)                => 3(1 - x2) = 0…

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Q: Let f(x) = x7 Then f'(x) is 5æ5 + 3x³ – 3æ – 4. За — - - f'(3) is f' '(x) is and f''(3) is

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Q: e3x Let F (x) = In tdt then F'(x) = 9xe3x - 3x°e+³ 6xe³x – 3x°e* - 3xe3x - 3x° e* 9xe3x - 3x e* ...

A: From lebnitz test.

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Q: Find the absolute maximum/minimum if any of f (x)=x' +3x² +1 on the interval [-3, 2].

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Q: PLS HELP ASAP ON ALL

A: 4. Given:f(x)=π2Getting the derivative, we have:f′(x)=dxd​(π2)Since π is a constant, the derivative,…

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A: Both approximation is second order O((∆x)^2)

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

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Q: Here R^3 - {(0,0,0)}. please proof this using submersion. thank you.

A: Given: R3=(0,0,0) To find: The set M=(x,y,z)∈R3:x2+2y2+z2=4xyz a submanifold of R3.

Q: Assume that  dx1/dt= x1(10-2x1-x2) dx2/dt= x2(10-x1-2x2) a) Graph the zero isoclines. b) Show…

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A: To show that f(x) = 1/(1+x) is analytic on (-1, ∞), we need to show that f(x) has derivatives of all…

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Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

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Q: 3. If f is the function given by f(x) = -x³ + x² + 3x-2, name the open interval where the graph of f…

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Q: Let f(x) = e^x Find the polynomial H3(x) of degree at most 3 such that H3(1) = f(1), H3(2) = f(2),…

A: Given: Consider the given f(x) = ex .Using a (generalized) divided-difference table, find the…

Q: Find the value of f(-1) when ƒ"(t) = 6(2t − 1) and ƒ'(1) = 6, ƒ(1) = 1.

A: