Problem 1. Let X ~ Gamma(a = 2, 0 = 2). Compute: (1) VaRo.975(X) (2) ex(9.488) (2) TL 1 TVeD (Y)

Q: 1 2.if [(fT))=, find [ f(4t) S

A: Laplace transform of the function

Q: Find f"(x). f(x) = (x² + 1) * %3D f"(x) = %3D

A: Given Data: Function: f(x)=(x2+1)4 The first derivative of the given function is,…

Q: 1.2 s Find first derivative for the following functions. dx (a) y = 5+ 6x + 4x3 (b) y = In(2x) +x*…

A: Note:-Since you have asked multiple questions, we will solve the first question with three sub-parts…

Q: Use the guidelines from section 4.5 to graph the function f(x) = x2/3 (6 – x)/3 For your…

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Q: Suppose that |?′(30)|=1.8|f′(30)|=1.8 and ?(30)=52f(30)=52. Fill in the blanks (including units…

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Q: Find f. f"(x)  =2/3x2/3

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Q: Estimate f (2.1) if f (2) = 1 and f'(2) = 3.

A: Given: The linear approximation of f at a is one way of writing the equation of the tangent line at…

Q: If P(XUY)=.P(X)= and P(X Y)= Find 7 P(X) b. P(Y) P(XnF) a. c.

A: Let A and B are two events then P(A U B) = P( A) + P(B) -P(A n B) Complement rule: P(A- ) = 1- P(A)…

Q: In Exercises 29-32, the graph of a function f(y) is given. Sketch the phase line for the autonomous…

A: As shown in figure f(y) is zero at the point y=a,b,c,d

Q: lowing data : x- f(x) : f'(x): 1 1 -5 0 1 1 3 7. the value of f(-0.5) from the (Anna B Togh 2005)

A: Given: x f(x) f'(x) -1 1 -5 0 1 1 1 3 7 To find f(-0.5)

Q: Suppose leaf biomass L (kg) and root biomass R (kg) are related by  L=R^b x α Suppose two plants…

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Q: Find the derivative. 5 (2x-3)* f(x)=- OA f(x)=- <-40 (2x-3)³ O c. f(x) = OB. f(x)=- OD. f(x) = 5…

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Q: a) x³ - x f (x) = 2x² + x − 1 - b) f(x) = ax + b cx - d

A: Here we have to evaluate for a) and b) the value of f'(x).

Q: 1. f(x² − 3x + 7) + (2x − 3) dx

A: In this question, we need to integrate the given function.

Q: - Plot the function y=(3cos(x)-sin(x))*e®* -0.2x for -45x9 with increment-D0.1

A: Here, the given function is  y=(3 cos(x) -sin(x))e-0.2x for the interval -4≤x≤9 with increment…

Q: if f(3)=4, g(3)=9, f'(3)=5, and g'(3)=6, find the following numbers: a. (fg)'(3)

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Q: If f(4) = 5 and f'(x) 2 2 for 4 s xS 9, how small can f(9) possibly be? %3D

A: Mean Value Theorem   Let f(x) be a function that satisfies the following hypotheses: a) f(x) is…

Q: 2. 3 Determine f'(x) and simplify. f(x) = (3x² - 4x) (2x - 3) ³

A: Topic = Derivative

Q: (In x) x Sh 12 - dx

A: ∫lnx12xdx

Q: Before the overtime rule in the National Football League was changed in 2011, among 460 overtime…

A: The claim is that neither team has an advantage by winning it is null hypothesis. Thus, the…

Q: −

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Q: (vii) If f(1) = 10 and f'(x) > 2 for 1 < x < 4, how small can f(4) possibly be? Give proper…

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Q: Find the Laplace transform of the following differential equation and express it as a single…

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Q: calculate the value of coth-1(x) when x is greater than 1

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Q: If g(x)= ex, g(In7)=

A: Topic = Function

Q: 10. f(3x - 1)(x - 1) dx

A: The given integral is:∫-113x-1x-1dx

Q: Find (f1)'(3) given the following table of values. f(z) f'(z) 3 1

A: The given table is, x fx f'x 2 3 1 This means that, At x=2,   fx=3   and  f'(x)=1. That is,…

Q: Find f. f ″(x) = 8x3 + 5,    f(1) = 5,    f ′(1) = 4

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Q: If f(4) = 3 and f'(x) 2 3 for 4 s xs 9, how small can f(9) possibly be? (9) 2

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Q: The Mean Value Theorem for problem 3 says that between x=-2 and x=2, there exists a value x=c that…

A: Let, y=f(x) =27-x2Now , f(-2) =27-(-2)2  =27-4=23   and f(2) = 27-22  =  27-4=23   and…

Q: If 6 -z? f(z) = 3+z2 find f'(z). f'(z) =

A: We have to find the derivative of the given function f(x)

Q: 8. (x)dx

A: