Example 3.8. For r = 1, 2, 3 and y = 1,2, let the joint pmf of X and Y be defined by x+ y fx,y(x, y) 21 Are X and Y independent?

Q: Solve for the maximum and minimum values for ∫(x^3−2)/3dx. (Upper limit is 1 and lower limit is -2

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Q: Scos(cos2x) sin2x dx Given: Find: du О 2cos2x dx -2sin2x dx -2cos2x dx 2sin2x dx

A: The solution is given in the next step.

Q: as x approaches 0 using the table of values? II. -2 -1.5 -1.1 |-1.01 -1.001

A: We have to choose the correct option according to the given information using the definition of limi...

Q: flIth)-f(1) find lim.

A: Given query is to find the Indicated expression.

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. Зп ...

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Q: 5. Find the limits: a) limg→0 4 – Vx + 16 Vz – 3 b) limz→9 z - 9 t +2 c) lim→-2 |t+2|

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Q: Given: 2х-3xInx Find: du dx X dx dx dx X

A: Given ∫dx2x-3xlnxfind du

Q: 45-56 Find the absolute maximum and absolute minimum values of f on the given interval. 45. f(x) = 1...

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Q: Given: 5e-x-6e-3x Find: u 5e-x - 6e-3x O 5e2x – 6 5e¬x-6e-3x O 5- 6e-2x

A: topic - indefinite integral

Q: Sketch the region enclosed by y = 4x and y= 6x². Decide whether to integrate with respect to x or y....

A: Given query is to find area under the curve.

Q: Problem 1: An open rectangular box is to be constructed by cutting square corners out of a piece of ...

A: The dimensions of the rectangular cardboard are, suppose, l1=12, w1=14.

Q: dx Evaluate 6e* cos (3e *) O 2 [In |sec(3e-x) + tan(3e-|] + C In |sec(3e-M) - tan(3e-|] + C O -18 [I...

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Q: implicit differentiation to find the equation of the tangent line to the function defined implicitly...

A: Topic = Functions

Q: Give the degree and leading coefficient of the following function: f(x) =2x2 (4- 3x-5x3)

A: Given query is to find the degree and the leading coefficient of the function.

Q: f (1,0) Based on the figure above, (f-1)'(0)

A: The figure given is   

Q: Determine the value of x of the discontinuous function: * x – 1 x 3

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Q: 5- -10 10

A: Please see the below picture for detailed solution. 

Q: 1 Evaluate the integral I+2/3 dr.

A: We have to find value of given indefinite Integration.

Q: emaiminy Tme. Unin Determine a formula for the general term an of the sequence {an} = { 3 12 27 48 7...

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Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms and radi...

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Q: Example Find the domain and range of the following functions : x +7 if - 35x<5 [2-x if 0 <x<2 x - 1 ...

A: (i) f(x)=2-xif 0&lt;x&lt;2x-1if  3≤x&lt;4(ii) f(x)=x+7 if  -3≤x&lt;5x2if   5≤x&lt;76-2xif   x≥7

Q: Evaluate the integral 3e2x 2e-2x 1 In vZe-2x + /2e-4x – 3 +C 2/7 - 2x 2/3e2x - 2e-2x+C -등 Arcsinl VZ...

A: Explained below 

Q: d r S x a h to state the absolute and1 of the function. 6.

A: We have to find the absolute maximum and absolute minimum according to the given graph

Q: determine whether the lines -2x + y=3 and 3x +3 y = 5 are parallel , perpendicular or neither.      ...

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Q: Consider the region bounded by the graphs of y=In x, x=1, and y=1. Which of the following integrals ...

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Q: A solld is obtained by rotating the shaded region about the specifled line. about the x-axis y 4 y =...

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Q: Rewrite the statement in mathematical notation. (Let n be the number of cases of Bangkok flu and t b...

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Q: Given: S 2x (3-5x+)'dx Find: Formula O -2 Ju'du 0 2 fu'du o fưdu Jư du 10

A: Given problem:-

Q: S Зх-5 Xp- (3х- 1)(х - 3) Given: Find: u Ох-3 Зx2- 10х+3 3x2 +3 Зх-1

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Q: |d?y |dx2 K($) = Cos3 %3D

A: Given curve y=f(x)

Q: Evaluate the integral SV5+12x² – 4xª xdx 1 -(5+ 12x² – 4xª) ² +C 24 (2x2 – 3)/5+ 12x? – 4xª + 14Arcs...

A:

Q: 1 dx ((x+1)²–1) 2

A:     ∫1x+12-12dx=∫ -14x+14x2+14x+2+14x+22dx=-∫14xdx+∫14x2dx+∫14x+2dx+∫14x+22dx=-14lnx-14x+14lnx+2-14x...

Q: 37. h(t) = 14 -214 39. F(x) = x" (x - 4)²

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Q: A manufacturer estimates that its product can be produced at a total cost of C(x) = 45,000 + 100x + ...

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Q: Evaluate the iterated integral by converting to polar coordinates. V2x – x2 5/x2 + y² dy dx

A: Explained below 

Q: Find the point on the plane 2x+7y+8z-14 =0 closest to the point (-3,3,1). The point is (Simplify you...

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Q: Exampi r(x) = (/2x + 1 - x²)-1 %3D "(x) =

A: Given query is to find the derivative of the expression.

Q: Evaluate the integral S/5+12x² – 4xª xdx (5+ 12x2 - 4x9) +C (2x2 - 3)W5+12x? - 4xª + 14Arcsin - 4xª)...

A: We can evalaute the integration as follows:-

Q: Find an equation of the tangent line to the graph at the given point. (The graph is called a Witch o...

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Q: 23t2 – 4e2t

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Q: Evaluate: * (Зх— 1 f(x) = {5 (x + 2 x 2 x = 2

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Q: A thick spherical shell occupies the region between two spheres of radii a and 2a, both centred on t...

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Q: Integration by parts is based on what differentiation rule? Explain.

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Q: An object thrown vertically upward from the surface of a celestial body at a velocity of 48 m/s reac...

A: According to guidelines we can solve only first 3 subpart. Please repost next parts.

Q: sinx + cosX dx e-X + sinx

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Q: dx Given: Vx sin/x Find: Formula o Sesc u du O2 fcsc u CSC du O 2 sin u du Ssin u du

A: Explained below 

Q: Identify all three (distinct) solutions to the equation z3 = 27i. Write your answer in x + iy form.

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Q: . A function f(x) that is discontinuous at a point x = a in its domain may still have a limit that e...

A: Find your answer below 

Q: The Pauli Exclusion Principle tells us that no two electrons in an atom can have the same four quant...

A: Please see the below picture for solution. 

Q: S- V3e2x - 2e-2x VZe-2x +C Arcsin 2/3e2x - 2e-2x +C 2x +/2e¬4x +C 2/7 O 12 -Arcsin 3e2x +C

A: ∫e-x3e2x-2e-2xdx Solution :∫e-x3e2x-2e-2xdx ∫e-xex3e2x2-2dx 12∫132e2x2-1dx let ,32e2x=t32e2x2dx=dtdx...