Compute the Fourier series of the function f(t) = l f(t+ 27)

Q: Determine a region of the xy-plane for which the glven differentlal equation would have a unique sol...

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Q: 3. у" — у' — 2у %3D5 sin x y(0) = 1, y'(0) = -1 -

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not ...

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Q: Peter measures his new empty swimming pool and estimates that it has a volume of 3,400 cubic feet. H...

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Q: 1. a. Evaluate 25-2-3

A: An expression ab represents b times the number a is multiplied by itself. Here, a is called as the b...

Q: dy What is the general solution to the differential equation x = x + y? dx y = x In|x|+ x + C y = x2...

A: The given problem is to solve the given differential equation, we can use substitution method to sol...

Q: The scatter plot shows the time spent texting, x, and the time spent exercising, y, by each of 23 st...

A: from the scatter plot , we  approximate  that the line passing through the points 0,10 , 10,0 now, m...

Q: Perform the following as indicated. Show your complete solution to earn maximum marks If (x + yi) /i...

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Q: 4. Graph the following system of equations on the coordinate plane. Then state the solution to the s...

A: Given a system of equations :                                         y + 2 = 2xy - 2x = 3 We have t...

Q: the diagonal of square is the sum of 1st eight consecutive fibonacci numbers. find the area, perimet...

A: Given: Diagonal of the square = sum of first 8 consicutive Fibonacci numbers. First we shall find th...

Q: Prove that if mn and m + n are even integers, then both m and n are even integers. (Use proof by con...

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Q: The Sanchez family takes out a $200,000 loan for their fixed-rate, 30-year mortgage. The annual inte...

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

Q: Let a,b be two real numbers and define a*b=ab+a+b. What is the inverse element for 2? O -2/3 O -2 O ...

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Q: A large private hedge fund contains a variety of assets including restaurants, shopping malls, newsp...

A: We will use basic arithmetic to answer this question. I have solved both the parts for you.

Q: The binary operation defined as a*b=3a 2b is closed in all the given sets EXCEPT | O set of Natural ...

A: Given operation is a*b = 3a - 2b

Q: х — 2 9. dx J x² (x – 1)²

A: Properties of the integartion  ∫1xdx=lnx+C ∫xndx=xn+1n+1+C, n≠1 Partial fraction of the function o...

Q: Let T:M_2 -> M_2 be the linear transformation given by a b 0 1 a b T с d c d 1 1 Find the matrix of ...

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Q: ears, P1.8M will be nee on. In order to generate nual payments is establis er payments will be mad

A: As per rule, allowed to answer first question and post the remaining in the next submission.   The c...

Q: Construct an orthonormal set of vectors in ℝ3 from the set of linearly independent vectors ? = {(1,1...

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Q: Tamaya purchased an ordinary annuity that earns 3.5% interest. She will receive 20 payments of $700,...

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Q: APRL In homework problem 17 in section 3.1 you showed that there are an infinite number of primes wh...

A: We will use basic knowledge of number theory to answer this question.

Q: 3y(x? - 1)dx + (x? - 8y - 3x)dy = 0 when x = 0 and y = 1 A xy (y - 3) = 4(1 - x²) B y (x² - 4) = 3(1...

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Q: Let f(u, v) be a differentiable function with f(0, 2) = 0, fu (0, 2) = 2 and f. (0, 2) = -3, g(z, y)...

A: Given fu,v is a differentiable function with f0,2=0, fu0,2=2 and fv0,2=−3. And given gx,y=fx2y+x,3x−...

Q: 2. Find the integer a such that a = 2*(mod31) and -16 < a< 15. а) 16 b) -16 с) -15 d) 15 e) 8

A: Here we have to find a.

Q: AD = 12.363 "(-1.2278 x 10-1"7² + 6.1946 x 10-°T + 6.015 x 10-)dT a. Use 6 segment Simpson's 1/3 Rul...

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Q: Use Laplace transform technique to solve the initial value problem y" – 4y = e*, y(0) = 0, y(0) = 0.

A: Given equation is y''−4y=e3t.....1 and y0=0, y'0=0. We know that Ly''=sYs−sy0−y'0 and Ly=Ys Take a L...

Q: Consider a lake of constant volume V (gallons) containing at time t (weeks) an amount Q(t) (grams) o...

A: As per norms, we will be answering only first three subparts. If you need an answer to others kindly...

Q: Consider the initial value problem and find the solution: a. y" +5y" + 17y' + 13y = 0, b. y" + 4ay' ...

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Q: For each of the following functions f(n), show a function g(n) such that f(n) E e(g(n)) and orovide ...

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Q: 12 Solve the boundary-value problem du 0 0 at + sin x %3D u(0, ) = 400, u(T, t) = 200, r>0 u(x, 0) =...

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Q: What is the range of the function shown in the graph below? 12 11 10 2 98 76 1.

A: Range of a function is the output that is the values f(x) for the given values of x .

Q: A simple card trick? The magician has a spectator choose a card, memorize it, and return it to the t...

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Q: Find the value of i° (A А) i B) -i с) 1 D -1

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Q: Question 4 Obtain the general solution of the differential equation (x2 + у?) dx + (x2- ху) dy 3D 0 ...

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Q: a. Plot these reaction functions in a graph with q, on the horizontal axis and q, on the vertical ax...

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Q: Solve the simultaneous equations. You must show all your working. y = 2 2х — у 3D 1

A: The equations that share common variables are called the simultaneous equations. The simultaneous eq...

Q: (a) If a single infectious individual enters the city at t = 0, compute the progression of the epide...

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Q: A trough is 4 m long, 5 m wide, and 2 m deep. The vertical cross-section of the trough parallel to a...

A: From the given question, length(l)=4 m width(w)=5 m depth(h)=2 m

Q: QUESTION 2. than one statement may be true Which of the following statements are true? Note that mor...

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Q: 9. Find integers which are inverse of 17 modulo 24. а) 7 b) 17 c) 13 d) –11 e) –7

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Q: A set of five switches can each be set at Off, Low, or High. In how many ways could the switches be ...

A: This is a question of permutation and combination.  Since we have 5 switches so we can assume there ...

Q: 2. (2 + j)(3 – j2) = a + jb 3. (x – j2y) – (y – jx) = 2 +j b =? x =? y =? a =? | |

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Q: Symbolize the following proposition and then make a truth table. I saw Johnny at the mall and I tho...

A: Let us solve the proposition problem in the next step.

Q: Use the exponential matrix found in problem 5, to find the solution to the fol- lowing initial value...

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Q: 1 Using Gauss-Jordan method, find the inverse of the matrix A =| 1 3 -3 and hence -2 -4 -4] using A-...

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Q: 1 - 0 3 2 A = 1 1 -5 - 1 2 4 2 1 3 3.

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Q: 1. Solve the differential equation (4x*y² - 6x°y – 2x – 3)dx + (2x*y-2x³)dy=0

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

Q: If HK is an altitude then the m25=

A: The altitude of a triangle is also called the height of the triangle. We need to determine m∠5.

Q: 20y gny %3D

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Q: Q3) Consider the DE y' = (3x + y + 5)², y(0) = 1 i) Solve it numerically using Euler's method (n=4) ...

A: Introduction: When we solve a first-order initial value problem numerically, we follow different ite...