Let f be a bounded measurable function on a set E of finite measure. For a measurable subset A of E, show that f. XA-

Q: Evaluate: dx x? +9 (3) (4) 5, x? In x dx

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Q: One letter of the name “EXTRA" is selected at random. Find the probability that the letter selected…

A: One latter of the name "EXTRA" is selected at random. We have to find the probability that the…

Q: A chance of 75 out of 100 0.5 0.01 0.1 0.75 0.25 O 1

A: To find: A chance of 75 out of 100

Q: Give the VALUE only. No need to include the unit. Let s, =15r +10r +20 and s, = 5r + 40r , t 2 0, be…

A: Given positions functions are SA = 15t2 + 10t + 20SB = 5t2 + 40t

Q: The triple integral 4 0. 1 dx dy dz -4 evaluates the volume of the rectangular box {(x, y, z)| – 3 <…

A: True   We  solve this triple integral

Q: 1. 3x, - x = 2 *+ 4x, = 5

A: As per Bartleby guidelines we're supported to answer only first one question when multiple questions…

Q: ion corresponding t + bx) e³× is given by en (a - b) is

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Q: What is the minimum number of edges of a spanning tree for this graph? A В E D. C.

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Q: Given: A = {1, 2, 3, 4, 5, 6}, B = {2, 4, 5, 6}, and C = {1, 6, 7}. Find: B' nC' =

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Q: Q1) Evaluate the integral dx dy using polar coordinate

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Q: Pianni Beverages produce two ready-mixed cocktail drinks; the Zombie and the Skyjack. Each is a…

A: using the given conditions, let the cocktail ' the Zombie ' be x and the cocktail ' the Skyjack ' be…

Q: 5/- Show that Jim c

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Q: A number is drawn at random from the integers 20 to 40. Let A the event that the number is not less…

A: We have to solve the given problem.

Q: Q3) Evaluate triple integral S S dz dy dx.

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Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 sin 2 + 0) in…

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Q: Q5) Find volume of body bounded by z 0 from below and z 4- y from above %3D inside y = x2 ,y = 4.

A: Volume bounded by the xy-plane

Q: Suppose a1, a2, a3, a4, and ag are vectors in R³, A = (a1 | a2 | a3 | a4 | a5), and [1 0 -5 5…

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Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 sin ( + 0) in…

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Q: Use a power series to solve the differential equation (1+x²)y" – 4 x y + 6y = 0

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Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) +2y 3 ,y (0) = 0,…

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Q: Continue the two sequences of numbers below and find an equation to each of the sequences 1 2 3 4 5…

A: 1. In first. 1+1=2 2+3=5 5+4=9 9+5=14 14+6=20 20+7=27 Hence the eqution is  an=an-1+n

Q: 1. Draw the graph of the following relations and/or functions. Make sure that all "important" points…

A: Given are some functions in (a), (b) and (c)   To Graph the function, then find the domain, Range,…

Q: QI) Evaluate the integral dy dx using polar coordinate

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Q: Q5) Find volume of body bounded by z = -y? from below and z = x? from above inside y = 0,y = x,x =…

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Q: Q4) Find plane area inside polar function r = 2 and outside polar function r = -2sine in third…

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Q: Write the power set of (0, 1, 2). How do you find the power set?

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Q: Evaluate: (1) [; (2x - 3)* dx 1 dx x+5 (2)

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Q: 5coshx+3sinhx=4,then what is the value of x

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Q: 1 2 2 -1 0 3 , find If D = and E = 0 3 2 -1 DE D*

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Q: (1+x)-3=1-3x+6x2-10x3........ with  ex= 1+x +x2/2 +x3/6............

A: Here we use the D'Almbert ratio test.

Q: 11. Given f(x) = e*. (a) Complete the following table. 0.25 0.75 1.0 f(x) = e* (b) Hence, find P,…

A: Given that fx=e-x (a) To complete the given table.

Q: Q5) Find volume of body bounded by z = -y? from below and z = x? from above inside y = 0,y = x,x 1.

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Q: (1+x)-3=1-3x+6x2-10x3........ Is this series convergent or divergent? Simply explain why

A: We have to check whether given series is convergent or divergent.

Q: Q3) Evaluate triple integral S dz dy dx.

A:

Q: Q2 Find the limits h +h cosh 1- lim Sinh cosh 2-lim S4ズ メ 2x-8

A: To find the limits of given . L' Hispital's Rule is

Q: Q4) Evaluate the following integral using Trigonometric Substitutions Method: 1- x dx y =

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Q: 1) y" – 10y' + 25y = 8e- y(0) = 1, y'(0) = -4;

A: Follow the steps.

Q: QI) Evaluate the integral dx dy using polar coordinate

A:

Q: 6. Find the temperature distribution in an infinite bar with c= 1 and initial temperature 4 f (x) =…

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Q: One letter of the name "EXTRA" is selected at random. Find the probability that the letter selected…

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Q: The shaded region R is bounded by the lines y = 0, x = 5, and the curve y = Vx – 1 as shown in…

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Q: Identify whether the following improper integral converges or diverges. If it converges, find its…

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Q: 3. [MO31] Find the Fourier series of, - 2<x< -1 - 1< x<1 1< x< 2 f (x) = -2 to

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Q: Let p be an odd prime. Suppose p5 mod 8. Show p-1 p? – 1 mod 2. 5

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Q: Q3) Evaluate triple integral S" dz dy dx. x-y

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Q: Q1) Evaluate the integral N 4-y2 dx dy using polar coordinate

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Q: A mutual fund has total assets of $11 million and total liabilities of $5 million. There are 2…

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Q: Q4) Find plane area inside the polar function r 2 and outside polar function r = -2cose in second…

A: Solution

Q: √3. (2√27 + √12)

A: Given expression: 3·227+12

Q: Q30. R = {(i, i), (i,n), (g, g), (n, n), (n, i), (o, i), (o, o), (0,n)} is a relation on set B =…

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