Use the following information to solve the first two questions. Gamma function r(a)=√₁²-¹. e In particular, for integer a ≥ 1 Gamma function's value is I'(a) = (a - 1)! Beta Function -1. (10 points) Evaluate B(a,b) = √' uª−¹ . (1 – u)b-¹ du where a>0 and b>0,. Relation between Gamma function and Beta function .e-" du B (a, b) = C г(а).г(b) r(a+b) -4x [x².etdx. K

Q: n(x) = -0.16(x – 92)+ + (x – 92) – 25.112 14 o(x) = -4.3 tan(0.3(x – 96.4))–29.3 15 p(x) = -1.4 log,…

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A: Derivative.

Q: 9. Find f' (x) for the function f (x) = sin? (cos(4x)) 10. Find f'(x) for the following functions:…

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A: Plotting: y=sinx, 0≤ x≤ π

Q: 1. What is chain rule differentiation?

A: Query- What is chain rule differentiation? Answer- Chain rule differentiation is the rule to find…

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A: For the given function: y=hx The graph shown is:

Q: 11690100 7 -.) f(x) = -x² + 6x + log3(12) 7 cos(8x) i.) f (x) = x5+3

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Q: 1. Sketch a function f(x) with the following properties: • f'(x) > 0 and f"(x) = 0, for x 2

A: As you posted multiple question , I need to solve only first question.

Q: Find any relative maxima and relative minima. relative maximum (x, y) = relative minimum (x, y): %3D…

A: The given function is - y = x(x-5)2y' = -x+5(x-5)3y'' = 2x+20(x-5)4

Q: Nhich of the following is the derivative of the function g(z) = 2? Og°(2) = 5 5e²+5z-e² g’ ( z (e-)?…

A: Given,  gz = 5zez  We have to find the derivative of the function gz = 5zez

Q: Q3) Find the derivative of y for all functions the following (1) y = 0 (sin (In 0) + cos (In 0)),…

A: Since you have posted multiple questions, we have solved the first question for you, if any specific…

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Q: Consider the function f in Example 2 in this section. What is f' (1)? f'(1) = -2 What is the average…

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Q: tind the derivatiues of given functions with respect tox. 12

A: Please refer to the image below

Q: For the function f(x) = 5x° - 3x + 2x + 7x + 3, find f"(x), the third derivative of f, and f4) (x),…

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Q: f'(t) = sin 8t - cos -/-

A: You are correct

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Q: What is the relationship between the Beta function and the Gamma function, and how can it be used to…

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Q: Find y\\ for each of the following functions: 1- f(x)=sin(xe). 2- f(y) = sin (3y)+ e-2y + In (7y)

A: d(u v) = u dv +v du

Q: Find the equation of the tangent line to the graph of the given function at the given value of x. 2…

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A: Given : y = 323x + 1