Integral Representation for F₁ : T(c) T (b) T (c − b) √ ¹³-¹ (1 − p)²-b-1 (1 − x1)¯ª di − 1⁰-¹ - 2 F₁ (a, b; c; x) = =

Q: Find the linearization of the function f(x) = √10 – x² at a = = 1 O L(x) = =¹²(x − 1) + 3

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Q: f= (2xy+ 3x²)ē+ (x² – 2yz + 2y)ē, – (e² + y²)ēz

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Q: (c) Write (V3+ i)" in the form of x+ iy.

A: Here I have applied De Moivre's Theorem. See the solution.

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Q: ₂ F₁ (a, b; c; x) = r(c) r(b)(c - b) ---- ( - xe di

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Q: Determine the variation of the functional (b) J(x)=√ [x7(1) + x₁(1)x₂(1) + x3(1) + 2x₁(1)×₂(1)] dt.

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Q: Consider the quadratic function f: R3 →R defined by f(X) = xỉ – x1x2 + x – x2x3 + x3 + 1 A: Express…

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Q: Integral Representation for F₁ : 2 F₁ (a, b; c; x) = T dt T(b)(c-b) -1 (1-²-6-1 (1-x1) ª di Jo

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Q: ax² + bx+c, g(x) = -ax² + bx+c, where ac # 0, th hat f(x) g(x)=0 has at least two rool roots

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A: Step 1Step 2Step 3 : Step 4

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Q: Perform convolution of h(t) and x(t) = (r(t) +r(-t)){u(t + 2) - ust - 2)1 %3D

A: Graph of x(t) is: