Suppose a single fair die is rolled. Find the probability that it is a 6, given that it is an odd number. O

Q: Problem 2. Consider a map f: Mn,n(R) → Mn,n(R) given by f(A) = A+I for all n x n matrices A (where I…

A: I have given the answer in the next step. Hope you understand that

Q: Q1. Evaluate the series S = -|2 + N|T + -12 + 1 + 211 :

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Q: Determine the value of k, so that (1 + ekx²)y = 1, be an implicit solution of the nonlinear ODE y' =…

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Q: A. Let T be a triangle with vertices (3,1) (2,1) and (0,-4). Find and sketch the images of the…

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Q: Prove the following limit. lim Z→∞ 4z³ + z 3 z+i

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Q: ΠΩq+1)t-q + 1 ΠoΩ_q+1)t-q/Ω(6q+5) ΠΩ(q+1)t-q + 1 ΠΩq+1)t-q/Ω(54+4) thus Ω(6q+5) > Ω-(5q+4). = το…

A: Given: The Information that leads to the required proof.We need to prove the equations marked in…

Q: Prove that A°= A - Ab.

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Q: Let A = {1, 2, 3, 4, ..., 20}. What is the cardinality of the power set of A, P(A)?   Fill in the…

A: Cardinality of Set --: The Cardinality of a set is the total number of unique elements in the set.…

Q: Suppose that L and K are subfields of GF(pn). If L has ps elementsand K has pt elements, how many…

A: It is given that, L and K be the subfields of GFpn. If L has ps elements and K has pt elements.…

Q: A. Use the properties of logarithm to simplify the following expressions. 1. log 2 + log 50 2.…

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Q: Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand…

A: As per our company policy, we are supposed to answer only the first question for you. Kindly repost…

Q: Find all the primitive roots of 31

A: If r is a primitive root of n then  all the primitive roots of n are given by rm | 1≤m≤φ(n),  gcd(m,…

Q: (3.1) Find the analytic function f(z) = u(x, y) + iv(x, y) given that u(x, y) = sinr coshy and z =…

A: Given : (3.1) fz = ux,y + ivx,y →A        is analytic function.and ux,y = sin x cosny →1Sincewe know…

Q: K In a certain camival game, a wheel is divided into seven equal parts, of which three are red and…

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Q: Problem 6. Consider a linear operator L: R³ R³ given by L(x, y, z) = (2z, y + 3x, 2x - z) for all…

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Q: Let A = {1,2,3,4,5,6}, and consider the following equivalence relation on A: R = {(1, 1), (2, 2),…

A: These are three different questions and as per our guidelines only first one will be solved. For…

Q: corresponding rate of change of the length.

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Q: solve  t(base n) = 2t(base n-1) + t(base n-2) + 2^(n) t0 = 0 t(base 1) = 2 (all steps: the…

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Q: The following is a list of prices for zero-coupon bonds with par value of $1,000 and varying…

A: The list of prices for zero-coupon bonds with par value of $1,000 and varying maturities are given.…

Q: f(t) b Match the graph below with one of the given functions. Of(t)-f(t) u(ta) Of(t-b) (t- b) Of(t)…

A: Here we have two graph  given  We can see that the second graph is exaclty same as first graph from…

Q: Question 9 Use residues to show that Question 10 Use residues to show that 2π do 2 - cos 0 dx (x² +…

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Q: Let n be an integer > 1 and N = n! + 1 a) Prove that N has a prime divisor > n b) Use a) to prove…

A: Here if all divisors are greater than n then their product divides 1 that is not possible.

Q: Question 1. Consider the integral ² e dx. (a) Approximate the integral by the Trapezoidal rule using…

A: Given: ∫12e1xdx To find :(a) Integral Trapezoidal rule using n=4.             : (b) minimum number…

Q: 5. Determine if the statements below are True or False. If it's True, explain why. If it's False,…

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Q: QUESTION 10 State whether the following are true or false. If true, you must prove it and if false…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Speedometer readings for a motorcycle at 12-second intervals are given in the table. t (s) 0 12 24…

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Q: 3. Suppose you'd like to save enough money to pay cash for your next car. The goal is to save an…

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Q: 1) Solve the following ODE using the power series method y" + sin(x) y' + cos(x) y = 0 i)

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Q: Sketch the region in the first quadrant enclosed by y = 8/x, y = 8x, and y = x. Decide whether to…

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Q: 270. f(x, y, z) = 1 √x² + y² + z², B = {(x, y, z) |x² + y² + z² ≤ 9, y ≥ 0, z ≥ 0} N 3 2 0 0 1 y 2…

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Q: (1) Prove that a sequence (Jn)n converges to f in measure if and only if for every ke N, lim m ({\fn…

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 1. For each of the given functions, answer each item correctly…

A: Using the Desmos to plot the graph in digital format.

Q: Let the random variable X have the probability distribution listed in the table below. Determine the…

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Q: Treyvon is a lifeguard and spots a drowning child 30 meters along the shore and 70 meters from the…

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Q: For the following loan, make a table showing the amount of each monthly payment that goes toward…

A: Let A be the monthly mortgage payment, M be the mortgage amount r is the fixed APR…

Q: ƒ (x, y, z) = y, E = {(x, y, z) |1 ≤ x² + x² <9,0 ≤ y ≤1-x² − z²}

A: Given function is f(x,y,z)=y where the region is given by  E={(x,y,z)|1≤x2+z2≤9,0≤y≤1-x2-z2 we have…

Q: Prove that the cube 0≤ ≤ 1,0 ≤ y ≤ 1,0 ≤ ≤1 is a normal domain.

A: Please find the attached answer.

Q: Solve the matrix game using linear programming. 4 1 -1 4 -3 0 5 3 1

A: Player B Player A     B1B2B3A1A2A34  1-10  435 -31   We apply the maximin…

Q: Find the mass of the lamina bounded above by y = z² and below by the part of the x-axis 0 ≤ z ≤ 4.…

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Q: Solve the differential equation y'= y + sint gro)=1

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Q: If the integral 2 Y L³² fő f* (xy + 2)dzdzdy was converted into an integral in cylindrical…

A: Given: ∫02∫0y∫01xy+zdzdxdy. To find : Integral in cylindrical coordinates.

Q: Solve the Goursat problem: Utt- c²Uxx = 0 u|x-ct=0 = x² u|x+ct=0 = x4. nt: Use the formula for…

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Q: QUESTION 3 Suppose that f and g are integrable. Show that f*g is also integrable.

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Q: Decide whether each of the following statements are true. (a) If a, b, m, n = N and a | m and b | n,…

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Q: tried

A: We use definition of Laplace Transform.

Q: Initial guess: 20= Use Newton's Method to estimate one of the zeros of f(x) using 6 or less…

A: Given : fx=x2-5x-5x2+7 To find :  i f'xii x0iii n

Q: Consider the function ƒ(11, 12) = (2+1 − 1)² + (x1 + x2 − 1)². (a) Find the global minimum of f, and…

A: Please find the attached image.

Q: y" + y = cos3x cos 6x

A: Given that: y" + y= cos3x cos6x y" + y =(1/2)(cos9x + cos3x) --(1) This imply  (D2 + 1)y=(1/2)(cos9x…

Q: 58. All dimensions on the CAD drawing of the spacer below are in centimeters. Use 3.14 as the value…

A: The volume of the given spacer is calculated as shown below.

Q: In Cay({(1, 0), (0, 1)}:Z4 ⊕ Z5), find a sequence of generators thatvisits exactly one vertex twice…

A: Given,         Cay(1, 0), (0, 1) : Z4⊕Z5.