[Q2] For the following joint pdf, find: (a) P(X ≥ 3.9, Y < 5.2), (b) E[X], (c) E[XY], (d) oxy. I 3.1 3.9 4.7 0.16 0.13 0.14 0.15 0.1 0.09 0.12 0.06 0.05 f(x,y) 4.6 4.9 5.2 Y

Q: The function in the figure below has f(4) 21 and f' (4) = 1.8. Find the coordinates of the points A,…

A: Given that: f(4)=21, f'(4)=1.8

Q: Use the alternative fom of the derivative to find the derivative ot Xo C, if it Exits. f(x) = Ix-6l,…

A:

Q: Exercise, find the higher-order derivative. Given Derivative S(x) = 3x2 + 7x + 1 %3D

A: First differentiating with respect to x to get f'(x) then again differentiating with respect to x to…

Q: Differentiate the following function. f(x) = le 5x – 19 What rule should be used to differentiate…

A: Given that: f(x)=e5x-19To identify what rule should be used

Q: Use the table given below to find h'(1), where h(x) = g(f(x)). xf(x) g(x) f'(x) g'(x) OA OB Oc D A.…

A: We are asked for the value of h'(1) or the derivative of h at x = 1.  First let's solve for the…

Q: use the table to estimate the 10.2 10.3 5.6 4.3 4.7 4.2 10 10.1 (x) 4.5 3.4 g'(x) 6.5 5.9 9 Sunday

A:

Q: Given the function f (x) =4V.X. The derivative of the function f (x) is f (x) = A. D. 4VT В. E. 8VF…

A: To find The derivative of f(x)

Q: Differentiate the following function. r(t) = (5t",8 /t, r'(t) =

A: Given:rt=5t4, 8t , 9tDifferentiation formula:ddxxn=n.xn-1

Q: The estimated resale value R (in dollars) of a company car after t years is given by R(t) 17,453…

A: The car is depreciating at $1,280.39 per year.Explanation:

Q: If f is continuous and f(x) dx = 12, find So f(2x) dx.

A: Given that To find

Q: Show that the function f(x) = 1/2 e−|x|IR(x) is a valid pdf.

A: Let the function is given by, fx=12e-x      for Rx Further we simlified it as, fx=12ex      for…

Q: The graph of the function fis shown on the right. a. Evaluate , f(x) dx. Let A (x) = f(t)dt. b. Find…

A:

Q: Let X have the pdf 2 2 5|X>3). Select one: O a. 4/5 O b. 2/5 с. 3/5 d. 1/3

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Q: For the following continuous joint PDF, nd: E(X). 8.123x5 (y²+3)8, for 0.2 < x < 0.3, and 0.4 < y <…

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Q: Use Five-point midpoint formula to approximate f '(2) with h=0.1 and by employing the below table of…

A:

Q: a) Consider the function g(x) = f* f(t)\ dt, where a is a constant. i. With the aid of a diagram…

A: The given function is, gx=∫axftdt. (a) To Explain: the relation between g and f. (b) To Find: g'(x)…

Q: 1. Let F(t) = sint for t€ [-T/2, π/2]. Calculate (a) f/² xdF(x). (b) 2 xdF(x).

A:

Q: (d) From the following table, find the values of: (1) S"(x) = (ii) f"(x) = at x= 1.2. y 1.0 2.7183…

A: Given table is  x 1.0 1.2 1.4 1.6 1.8 2.0 2.2 y 2.7183 3.3201 4.4052 4.9530 6.0496 7.3891…

Q: Differentiate the following function. g(x) = (t +5) dt %3D

A:

Q: Use the information below to answer Questions #31 - 36. In a survey of 250 males ages 20 - 24, 45%…

A: According to the provided information, In a survey of 2500 males ages 20 - 24, 45% were neither in…

Q: The PDF for X is f(x) = 5000 x> (x+50)³ , ¤ ≥ 0. Find P[X ≥ 70].

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Q: Let X have the pdf f(x)= ce-2(x-1)", -0<x<. What is the value of c?. Select one: a. 0.4358 b. 0.7979…

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Q: Let X have the pdf 1 p(x) = T(1+ a2)' x E R. %3D Find the pdf of Y = X?.

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Q: Q3/ Find, and at x = 1.3 from the follow table d²y dx² X f(x) 1.1 1.2 2.0091 2.0333 1.3 1.4 2.0692…

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Q: Given the following function, what is h' (p)? Treat X, T, and Z as constants. h(p) = 4X³ · (Tp + Z)

A: h(p)=4X3.(Tp+Z) find h'(p)

Q: S:R R, f(x) =a", (a > 0, + 1)

A: