For the generating function A(z)=- find the corresponding r≥ 0. 1-9z

Q: 1) y = logs Vr² – 1

A: Since you have asked multiple questions in single request.so we will answering only first question.

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Q: 2) Find the derivatives of a) y = 7 - 6x-x² b) y - ³x 8 √x

A: Given :(a)y=7-6x-x2(b)y=-8x

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Q: AB1: Find g(2), g'(2), and g"(2).

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Q: Q3. Show that дхду for дудх f = x² siny – 2y³ cos2x (

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Q: 4. Evaluate using Beta Function: B (6,5) a. b. {B}}})

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Q: I need solution please help me.

A: Step 1:To prove that 𝐹(−𝑧)=1−𝐹(𝑧)for 𝑧>0, where 𝐹(𝑧) is the cumulative distribution…

Q: L=2-36X, y'co) =5, and ylo)=S x)

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Q: a) Differentiate the function Q(p) = -2√/p³ (e-P-PB). b) Hence or otherwise, determine Q'(1).

A: The given function .The aim is to find the derivative function  and find the value of .

Q: u = x² + y³ + z*, X = s•t = s2 +t2 y = z = s-t

A: We find complex function

Q: Differentiate the function. r(t) = (3²- + 8)i + r'(t) = (6t)i + ( 132 r'(t) = i + (6t)j r'(t) =…

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

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

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Q: x3 – 3x2 – 6x - Show that - = x-3 - x2 – 9 x – 3'x +3* - - x3 - 3x2 - 6x -dxp. Hence, evaluate x2 -…

A: To show: The equation x3-3x2-6xx2-9=x-3-3x-3+6x+3 and then evaluate the integral ∫x3-3x2-6xx2-9.…

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Q: f(ta (tanx+log secx) e* dx on ((2n-1) T. (2n + 2)2), nez

A: Given that a integration and we solve this integration by general property of integration.   We know…

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Q: Is the equation t²y' (1) t + 4 - separable? y?

A: t2y't=t+4y2