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Q: Let f(x) = 1- x, -3 ≤ x ≤ 3, f(x + 6) = f f(x). (a) Find the real-valued Fourier series of f.

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Q: Exercise 2 ow that a>0, R₁ ra low

A: Remember  ∀ x∈ℝ, x&lt;a ⇒ -a&lt;x&lt;a

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Q: ГО Г0 3 -31 2 3-3 62 5 1 -6 3 || Н

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Q: Let the tank has radius R=1 m and height H=5 m. The initial volume on the water in the tank is…

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Q: 2.Take the derivatives of the following functions. Do not simplify. a. f(x) 10x4 f'(x) f'(x)…

A: Here,  we have to find derivatives of the given function.

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Q: u Let Express of u be the as a un root product of f below below in Simple as as some Q(u) of Q.…

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Q: 16. Uxx + Uyy +Uzz = 0 17. Uxxxx +2uxxyy + Uyyyy = 0 18. u,+ uur = 1+ Mrr

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Q: f(x)=2(x+2)(x-4) shifting the function to 2 units to the right and 1 unit down

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Q: 19. -8 12 -4 2 -3 -1

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Q: the (by hand) 881 -2 1 3 by 1 3 3 -1 2 -1

A: Given that a matrix,  -21313-13-12. find out the first three iterations by the Symmetric power…

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Q: 13 Show that u is algebraic over R and type its minimal polynomial below in the form…

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Q: 2log_

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Q: 21. a²uxx = ₁; u₁(x, t) Unti u₁(x, t) sin Ax, λ a real constant = sin(xx) sin(at), u₂(x, t) =…

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Q: 2 If the equation px² + (2 − q)xy represents a circle then find tl JI £

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Q: 3. Find a subset of P({1,2,3}) with four elements.

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Q: Show that, if then م >ے یہ ؟ (H) and Mare signed measures, ہ = (E)= => ||(E)|| الـك

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Q: (c) {(x, y): x < y} Solution: (d) {(x, y) : x = y}

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Q: Write in slope intercept form y-2=-1/2(fraction)(x-1)

A: Write in slope intercept form y-2=(-1/2)(x-1)

Q: 5. In the figure shown below, force is F = F₂k with F₂ > 0. The line of action of F intersects the…

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