Q2. Let a card be selected at random from an ordinary deck of 52 cards. Let A = [ the card is a black face ] and B = [the card is a black]. Compute P(A),P(B).P(ANB), and P (Au B) *

Q: In Exercises 1 and 2, differential equations and their associated slope fields are given. For each…

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Q: 1. Please rewire the expression below without the summation operator.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A star Of radius Find the Mass.cs.ing x,Y,Z Coordinates, Mass = Ss R of density 8 = R- Jx+ya

A: To find the mass of a star of radius R and density δ=R−x2+y2+z2.

Q: 1. Solve the following DE using TWO DIFFERENT methods (Two dif- ferent approaches to same method…

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Q: Evaluate the expression, solve for x

A: Given,           122x-5-123x+4

Q: 2. A cafe estimates a monthly profit (in thousand pesos) of P(x, y) = 27 – x? – y² + 6y if they open…

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Q: Let a, be recursively defined by ao = 3, an+1 = a - an for n 2 0. Find lim an.

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Q: Angle JKL is a straight angle. The measure of angle JKM is 145°. The measure of angle MKL is x°.…

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Q: Find the volume of the solid that results when the region enclosed by the curves is revolved about…

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Q: Activity IV. Determine the truth value of each item. A. If X and Y are true statements and A and B…

A: Since you have posted a multiple  question according to guildlines I will solve first   question…

Q: The random variable X has the probability density function ((x) given by: f(x) = x', 128 Ix a) =…

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Q: r the positive mteger n. e mathematical nouction to sha n) B frue for all positive intege

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Q: We have data on the lean body mass and resting metabolic rate for 12 women who are subjects in a…

A: We can solve this using least square method

Q: 2-Show that the following polynomials from a basis for P2. 1- 3x + 2x?,1 + x + 4x²,1 – 7x

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Q: Maggie was constructing a set of perpendicular lines with a compass and straightedge. However the…

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Q: Consider the following IVP: y" + y' = -cos x; y(0) = a, y'(0) = b Find the general solution. y(x) =…

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Q: a. Inside one leaf of the three-leaved rose *= cos30

A: According to guidelines we solve one question. Here  we solved (a). We have to find area bounded by…

Q: 1. We consider a function g(t) that is equal to t for 0 < t < 3. Over this range, g(t) = t. Write…

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Q: volume solid= T1 da.dy.dz of 30 2पट 5 1. r.das.do.dz

A: Given, Volume of solid=∫∫∫v1·dx·dy·dz=∫03∫02π∫051·r·dr·dθ·dz

Q: -4 -3 2 -1 A = -5 -2 4 -10 -4 -3 Find dimensions of the kernel and image of T(x) = Ax. dim(Ker(A)) =…

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Q: Let f : R2 → R' be the linear transformation determined by f(x) = Ax where -2 -6 A = -3 5 -4 a. Find…

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Q: Find the Laplace transform of the following function. That is, determine coefficient I f (t) = 6e…

A: We first determine the Laplace transform of  f(t)=6e-5t+e3t+5t3-9. And form of F(s) is given. We…

Q: onstruct the difference table and find the plynomial that fits the set of points (1,8), ,12),…

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Q: Determine whether each of the P-boxes with the following permutation tables is a straight P-box, a…

A: Given P-boxes are a. 3 2 6 5 1 4b. 1 2 5 4 3c. 2 4 1

Q: 5) Let A= (2,3) U {4} be a subset of R with the standard opology. Find Ə(A).

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Q: f(x, y) = (-x – 2y, x – 4y).

A: Follow the steps.

Q: llustration 25.2: Minimize U = 2x, + 4x, Subject to 4x, + 2x, > 12 3x, + 5x, > 15 5x, + 4x, > 20 *,…

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Q: -4 3 -3 30 3 -2 -6 and b -5 2 -39 Define the linear transformation T : R' → R by T(x) = Ax. Find a…

A: Given that A=−43−33−2−66−52 and b=303−39 To find a vector x whose image under T is b.

Q: y (x + 2y + 2) dx + (2xy + 5) dy = 0

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Q: If f (x) = 2x VxE [a, b]. Show that; b. S [(x)dx = b² – a²

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Q: Find the steady-state of * .7 .2 .2 .2 .4 .3 .6 .4 O [2/5 1/5 2/5] No Idea O [2 1 2] O [1 0.5 1]

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Q: 3. On the relation R on the set {1, 2, 3, 4, 5} defined by the rule (x, y) e R if x+y<6. a) List the…

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Q: 1. Evaluate the line integrals x + Y ds and

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: 5. Find the value of o(e) for a solution o(x) to the initial value problem: a?y"-xy' + y = 4x ln x;…

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Q: 2^2013 -2^2014 × 2

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Q: Which of the following surfaces cannot be described by setting a spherical variable equal to a…

A: Given,ρ=k , ϕ= k , θ=k To check which one of the given surfaces cannot be described in the above…

Q: In the first two problems, find the first four non-zero terms of the Laurent series of the indicated…

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Q: Let - EEEE 2. 0. 1 1 1 A =| 0 1 1 1 1 1 1 1 1 What is the reduced row echelon form of A? O a. 1 1 1…

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Q: 4. Find the Fourier sine series for the function f(x) interval 0 < r<1. Evaluating each tern in the…

A: Introduction: A Fourier series is an infinite sum of sines and cosines expansion of a periodic…

Q: A hardware store will run an advertising campaign using radio and newspaper. Every dollar spent on…

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Q: Problem 6. Consider the plane, X, in R3 given by the vector equation: x(s, t) = (1, –1,2) + s(1,0,…

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Q: For number 5 to 7, use circle O. 5) What is the length of ME? M, 6) What is the area of sector MOE?…

A: Introduction: A sector is a geometric figure that is defined by two radii and the circle's included…

Q: Solve using the method of undetermined coefficients y'''+8y= 2x - 5 + 8e^-2x ; y(0) =-5 , y'(0)=3 ,…

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Q: Dept. A. A. 250 25 240 125 400 335 C 100 225 125 285 175 Construct the following:

A: Solution

Q: Prove that a conical tent of a given capacity will require the least amount of canvas when the…

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Q: 4. Let R be the relation in the positive integers

A: 4. Given, R be the relation in the  positive integers ℕ defined by                        R=x, y: x,…

Q: xx                                    −2−2                                       11…

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Q: п+1 a1 = 0, An ап-1 + 3п + 3, n >1 n

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Q: 2-Show that the following polynomials from a basis for P2. 1- 3x + 2x²,1 + x + 4x²,1 – 7x

A: Consider the polynomials: 1-3x+x2, 1+x+4x2, 1-7x To show that the following polynomials form a basis…

Q: 2. In probability, it is common to model the deviation of a day's temperature from the monthly…

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