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Q: Find the simple interest. $6000

A: Given, $6000 at 8% for 9 months 

Q: Use polar coordinates to calculate the volume of a sphere of radius R.

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Q: Q1. Let A be a set of nonzero integers and let ~ be the relation on A defined by (a, b) - (c, d) whe...

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Q: x' = 2x + 3y – z y' = x + z z'%3D 4х — 2у + 62

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Q: To find the inverse transforms, first express the given function of s into partial fractions which w...

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Q: y"-5y'+6y=e'; y(0) = 1, y' (0) = 1

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Q: Problem 2. Suppose that A is an n x n matrix and det(A) = 2, det(A + I) = 3, and det(A+ 21) = 5. Com...

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Q: Make a 1 rational equation problem involving 3 rational expressions with binomial term with solution...

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Q: 3. Siya bought some stickers. She gave of them to Bala. What fraction c was she left with?

A: # we are entitled to solve one question at a time, since 2 is already solved so solving the 3  3.  L...

Q: Prove the following statement by mathematical induction. For every integer n 2 0, 7" – 2" is divisib...

A: Brief answer is given below.

Q: S | = cosh (v4 t) s²-2- False True

A: L{ sinat} = as2 + a2,   L{ sin2t} = 4s2 + 42a is falseL{ eat f(t)} = F(s-a) where F is Laplace trans...

Q: A large hotel chain needs to apportion 25 new surfboards for its visitors to rent among three hotels...

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Q: 1. For n 2 2, let A = [a E M,(C). Suppose A is diagonally dominant. Show that if af # 0 for all i, j...

A: We will use the basic knowledge of matrices and diagonal dominance to answer this question in detail...

Q: 6. We defined the relation ~ between sets by A ~ B means that there there is a 1-1 correspondence ƒ ...

A: The complete  solution is in given below  

Q: Determine whether the following statements are logically equivalent. Provide a justification for the...

A: We have to show whether ~p∨~p∧q   and  ~p∧~q are equivalent or not.

Q: Q5) Use the Chain Rule to express dy /dx in terms of x and y: y = csc t and x = sec-1t

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Q: Theorem 2. If X has the Beta distribution as given by Equation (12), then E[X] = a +B (13) %3D Proof...

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Q: Question 3 ( Let ƒ € C®[xo = h, xo + h] (for h > 0). Show that "(z) = {(z0 + h) – 2/(x0) + f(xo – h)...

A: We will use the basic knowledge of numerical analysis and the Taylor series to completely answer all...

Q: 4

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Q: A-Ri+1,1+2 Multiple Choice The union is Z and the intersection is 0 The union is N and the intersect...

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Q: 64x 23. Expand: 2log,

A: We have to expand the above expression. We know that log22=1 and log2xn=nlog2x

Q: Question 2 Let Di be the solid in space that lies in the first octant x, y, z 2 0, and be- tween the...

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Q: 2) Let P + Q be maximal ideals in a ring R and a,b elements of R. Show that there exists c E R, such...

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Q: Determine whether the series converges or diverges. 7n² – 1 5 n = 5 6n° + 5 converges diverges

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Q: Jx + L. f(x) = L, *0 > x> 7- f(x + 2L) = f(x) Problem 2: %3D 0 <x < L;

A: This is the problem of Fourier Analysis.

Q: Solve using methods from differential equations A state has a current deer population of 120,000. It...

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Q: Solve the following S-L problem y" (x) + Xy(x) = 0, y(-L) = 0, y(L) = 0. Where L is some fixed posit...

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Q: Use Newton's Method to approximate the zero(k) of the function. Continue the iterations until two su...

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Q: Show wheatear an open interval (m, n) is a union of a countable collection of closed sets or not.

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Q: Express log,(9AB) in terms of log ,4 and log, Bin simplest form.

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Q: Question 3 Determine whether or not each of the following sequences is (i) bounded, (ii) monotone, a...

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Q: Find the compound amount for the deposit and the amount of interest earned. $440 at 4.3% compounded ...

A: $440 deposited for 13 years at the interest rate of 4.3% compounded semiannually .

Q: Adding & Subtracting Mixed Number Fractions Solve each problem. Write vour answer as an improper fra...

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Q: Exercise 1: Let f(x) =|sin(2x)|. 1. Find the cosine series C(x) of ƒ on (0,7). 2. Find the sine seri...

A: we have to use fourier sine and cosine series   

Q: Let a, b e Z and n E Z*. Prove that if a = b(mod n), then gcd(a, n) = gcd(b, n).

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Q: (2) Let aj = (1,2, -1), a2 = (3,0, 1) and bị = (-1, 10, 7), b2 = (1, 2, 0) in R³. %3D (a) Is a, in S...

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Q: b) Determine each hotel's apportionment using Adams' method. Hotel A B Total Number of rooms 238 197...

A: The complete solutions are given below  

Q: 1. Consider the following Linear Programming (LP) problem: Maximize z = 3x1 + 2x2 Subject to 2x1 + x...

A: According to Bartleby guidelines we're supported to answer only one question when two or more differ...

Q: Let {x,} be a real sequence such that 7xn+1 = x + 6 for n 2 1. Then which of the following statement...

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Q: Criven three points in R? x,=[-l,',2], [-1, !,2]", X, =-1,1,2]" and 1g=(-!,T,2]". Pind the %3D %3D %...

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Q: 4" Question 2 Use the Squeeze Theorem to find the limit of the sequence n!

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Q: What is the value of df rez+1 (0), where f(x)= da 1+e-z Give your answer as an integer or as a decim...

A: Brief answer is given below.

Q: II Simplify the following: 1. (ĀNĒ N Č) U (Ā OBNC)U (ĀNBN Ĉ) U (ĀN B N C) U (A O Bn Č)U (A N B nC) a...

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Q: 6. Which one of the following statcments is true for the series (-1)" (2n)1, n2n (a) The series conv...

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Q: If two cards are drawn without replacement from an ordinary deck, find the probability of a queen an...

A: Brief answer is given below.

Q: A resort plans to apportion 52 new toboggans among the four resorts based on the number of rooms in ...

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Q: (a) Find all 2 x 2 symmetric matrices that commute with the matrix B= -3 (b) Find all 2 x 2 skew sym...

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Q: Determine the point of intersection between the line and the plane. x = -8 + 8t, y = -8 - 5t, z = -4...

A: Brief answer is given below.

Q: b) Determine each state's apportionment using Adams's method. State A B Total Population 1,223,000 2...

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Q: Find the solution of y" + 3y = 126 sin(3t) + 54 cos(3t) with y(0) = 2 and y' (0) = 7.

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