Which conditions make (a, b) a critical point (stationary point) of f(x,y)? What does the sign of A(h, k) = f(a+h,b+k)-f(a, b) reveal about (a,b)?

Q: find F.T the? f(t) = u(t) cos wot let u(t) = TS (W) + św Coswot = πTES (W_W₁ +8 (wtwo)

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Q: V(Qn) = 1 = R" {0,1},1 ≤ i ≤n} (*£1,...,.£,n) = R¹ : .,xn) = R¹ : x¿ € {0, 1}, 1

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Q: Example 1: Solve the following for x. a) x³ = 4x b) 64x³ =1 c) 3x³-2x²-12x+8=0 (by grouping)

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Q: (A) Find div (e grad u xf) at (2,1,0) where x-y and =(x²+1)i+sec¯¹(x² −y)j + 3y²z. k YZ 11=

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Q: Question 10. Plot the result of the following convolution X₁(t) 0 2 4 X2(t) 0 2 6

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Q: There are n parking spots 1, 2,..., n on a one-way street. Cars 1, 2,..., n arrive in this order.…

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Q: Consider a group of n warehouses in a shipping network, where n>=2. In order to ship products across…

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Q: Ex: Find the F.T. of the rectangular pulse (gate function). f(t) = A rect ( =) = ATT (t/), I is the…

A: Hint: We need to find the Fourier transformation of f(t)=A rect(tτ)

Q: The radius of the Earth is approximately 4000 miles. (Use this radius for all calculations.) (a)…

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Q: Consider p(x, y, z) = 2xyz - x²y³ v(x, y, z) = xy² + y sin(z) F(x, y, z)= F₂(x, y, z)i + F₂(x, y,…

A: Let F→=f1, f2, f3. The gradient of the scalar field: g is defined as: ∇g=∂g∂x i^+∂g∂yj^+∂g∂zk^. The…

Q: n D मन मो 2 x 2 2 121 2 n (-1) X 20-1 21-1 M-1 XER x 21-1 211-1 K+o maclaurin series Discuss the…

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Q: Use Cayley Hamilton theorem, the characteristic equation and A¹ of the matrix A = [3] -3 X²-4X+5=0.…

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Q: Consider this as a simultaneous-move (static) gam Player B

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Q: (4) (a) Find the average value of cost on the intervals [0, π], [0, π/2], [0, π/4], [0, 0.01]. (b)…

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Q: A- Find the volume of the solid generated by revolving region Under the curve (y=4-x²), about x = 2

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Q: 2. For n ≥ 2, define the n-dimensional hypercube Qn to have vertex set V(Qn) = {(1, .,.£n) = R¹" :…

A: Definition of Hamiltonian cycle :  A Hamiltonian cycle is  a closed loop on a graph where every node…

Q: Show that the following are Lorentz invariant

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Q: Prove that div(x) .curl - curl w functions. 11 where and ware vector

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