1.12 Student's t-distribution 8(0) = (1+²) (1+²) [√UB (12-2)]; f(t) with B(a,b) Γ(α)Γ(β) r(a+ß)' -00 < t < 00 Derive E(T) = 0 and var(T) = V v-2

Q: The derivative of requires the product rule and is given by Factor the derivative of f. g'(v) = g(v)…

A: Given:Here we have given a function  .To find:The derivative of the given function using product…

Q: if g'(x) = x(x-5)(x+1)4 , then g has a local maziumum at

A: Given that g'(x)=x(x-5)(x+1)4

Q: The heights of women have a symmetric distribution with a mean of 64 inches and a standard deviation…

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Q: Find f. f"(x) = x-2, x > 0, f(1) = 0, f(4) = 0 (x) = -In(x)+ (In(4))x – In(4)

A: Given

Q: 1 •[₁ F(X) -1 Given f(x) dx = 0 and (a) [f f(x) and [₁ f(x) dx. 1 (c) [₁² (d) (b) • [² f(x) dx - [°…

A: (a)

Q: f(x) = (x² + In x)(x³ + 4x + 5) f(x) = (x2+5x) In x (Vx-6x)e* %3D

A: We have to find the derivative for each of the functions. 1. fx=x2+lnxx3+4x+52. f(x)=x2+5xlnxx-6xex

Q: If f(x) = √√2x + 5, find ƒ'(x) using Chain Rule ƒ'(x)= Find f'(5). ƒ'(5)=

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Q: If f(x) + x²[f(x)]³ = 10 and f(1) = 2, find ƒ'(1). f(1) = 10 X Type here to search

A: I am attaching image so that you understand each and every step.

Q: in a mid-2017 poll, 65% of u.s. adults believed that the russians meddled in the 2016 us elections.…

A: It is given that in a mid-2017 poll, 65% of US adults believed that the Russians meddled in the 2016…

Q: Use the graph of f and g. p(x) = f(x)g(x) q(x) = f(x) g(x) y 10 8 6 4 2 f 09 g

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Q: Find the nth-derivative, f(n), of f(x) e2x+4. 1. f(n)(x) = 2. f(n)(x) = 3. f(n) (x) = 2ne2x+4 1 - n!…

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Q: Sketch a graph of a function f(x) that satisfies all of the following. f(-3) = -3, f(-1) = 2, f(2) =…

A: Graph of function using given information

Q: (2, 1) Graph of f The derivative of a function fis defined by f'(x) =/1-2 in (2-), -5≤x≤2 where the…

A: Since you posted multiple question, we will solve first question for you. Kindly repost other…

Q: Sketch a graph of a function f(x) that satisfies all of the following. f(-3) = -3, f(-1) = 2, f(2) =…

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Q: - 5 Let f(x) = – 5x Va + - f'(x) =

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Q: If f (x) = (VT+1) (x-1 + 2) , what is f'(x)? of 'e)- (Vs +1) (-솔) + (금 + 2) (금금) o f 'a)= (VE+ 1)…

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Q: Let f (x) = xVx2 + 3 (a) Show that the function f (x) is one-to-one. 5. ion a(r) that is the in

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: 1 2 3 f(x) 2 4. 3 4 1 g(x) 4 (2),6 h'(2) if h(x) = f(x) g(x) f(z) h'(2) if h(x) = g(x) h'(2) if h(x)…

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Q: find derivative of y y= (3x²-3x+1)³/2 (3/2)(3x²-3x+1)¹/2 (6x-3) none of the above (3/2)(3x²-3x+1)¹/2…

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Q: (x+1)(1-x) 9. y = (x+2)2 10. y = (2x2 - 1)(3x + 2)³

A: Given  y=x+11-xx+22

Q: 8 x + 6 Let f(x) = x + 1 f'(x) =

A: The function is fx=x+6x+18. Find the derivative of the function using the chain rule and quotient…

Q: - 3 Let f(x) = 8xVæ + x2. f'(x) =

A: Use the derivative for finding the answer.

Q: 7x Let f (x) : Then the derivative of f is %3D 1 + 5* f'(x) = A(1 + 5*) – Bx(5*) In C, where (1 +…

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Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

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Q: 3 Let f(x) : 4x + 6

A: f(x)=34x+6=3(4x+6)-1 ddxxn=n xn-1

Q: 7 x + 3 Let f(x) = x³ . x + 5 f'(x) =

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Q: Let P(x) = F(x)G(x) and Q(x) = F(x) where F and G are the functions whose grap G(x) y F 2 -1 4 8.…

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Q: Use the graph of f and g. P(x) = f(x)g(x) %3D f(x) 9(x) = g(x) %3D 107

A: NOTE: Refresh your page if you can't see any equations. . take derivative take x=5

Q: Find f such that f'(x)= 7x +7x-2 and f(0)= 8.

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Q: Find the derivative of ƒ (x) = cos-1(In(4x²+1)).

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