Date.. Q. Find the Fourier Series of x)=-x-X

Q: Solve the following initial value problem: y" – 2y' + y = 2x + 3e" sin(x), y(0) = 1, y'(0) = 2.

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Q: 3. (w - 3x +3)dw + ( 3w + x + 9)dx=0

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Q: Use the Maclaurin series for sin(x) to compute 3 sin(3°) correct to five decimal places. 3 sin(3°) =...

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Q: 2+ 6z-1 X(z) = find x(1) of x[n] %3D 4 2z-2+13z-3

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Q: 1. Explain why (b x c) must be a linear comnbination of b and c. a X

A: We will use properties of cross product of two vectors 

Q: 5. (2v? + 4u?v)du + (4uv + 3u³)dv = 0 1dy

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Q: 1 2 |. Find 2 1 11. Consider the matrix A = (a) the characteristic polynomial of A; (b) the eigenval...

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Q: Air Pollution The amount of nitrogen dioxide, a brown gas that impairs breathing, present in the atm...

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Q: Reproduce the given computer-generated direction field. Then sketch an approximate solution curve th...

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Q: Question 7 Find the value of x6 in 3 decimal places (positive value) using Newton-Raphson Method (6t...

A: Since you have not given any initial value so I have solve on random value

Q: Q1. Use 4 steps of fixed point iteration and approximate the root of the following function: .3 f(x)...

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Q: 2. Determine if the following statements are true or false. Here A represents any set. (a) ¢ C A (b)...

A: Used simple logic to prove.

Q: Siven X (z) = 2+ 6z-1 find x(1) of x[n] 4 2z-2 +13z-3 O 1 O 0.5 -1 O 1.5

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Q: hi(t) = sin 2ant/T for t € (0, T] d) Find the Fourier transform of h1(t).

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Q: Evaluate / e*cos(x)dx using integration by parts

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Q: . a) For spring-mass model a" + 4x' + x = part and the steady periodic part of the solution, and fin...

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Q: John received a $28,250 loan from a bank that was charging interest at 3.50% compounded semi-annuall...

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Q: 2 1 Let H = Span be a subspace of R³. Suppose j = -3 1 (a) Using the least-squares solution to find ...

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Q: Find the quotient and remainder using long division for x2 + 7x + 13 x + 3 The quotient is The remai...

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Q: Q11 Determine all the critical points for the following- S(x) = sin'x- cosx On the interval (0, 2n).

A: Given , f (x) = sin2x - cos x  (.) Definition :  Then critical point of a                           ...

Q: TV Circuit has 30 large-screen televisions in a warehouse in Erie and 60 large-screen televisions in...

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Q: Assuming the base b> 1, an exponential function of the form a-b has a domain of [ Select | in which ...

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Q: Evaluate the double integral. | 7z (64 + y*) dA; R is the region in the first quadrant enclosed by y...

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Q: 3x2 +- 8(y + 1) = 0 dy y+1

A: Comparing the given equation with the equation Mdx+Ndy=0, we have M=3x2 and N=x3y+1-8y+1 Now we chec...

Q: A company estimates that it can sell 3,000 units each month of its product if it prices each unit at...

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Q: Solve the given initial-value problem. (x + y)? dx + (2xy + x2 – 8) dy = 0, y(1) = 1 (x +y)³ – 24y =...

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Q: Consider the curve, y with parameter (, and function f in 3 dimensional Euclidean space with coordin...

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Q: #3. Let n be an mteger with nz1 and Let b., b2.bn be ... positive real nmmbers, not all egual, such ...

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Q: Q:01:Why we study Cylinder and what is its importance in daily life routine.

A: We know that a cylinder is a three-dimensional shape that consists of two parallel circular bases wh...

Q: Use the table below to determine the Borda winner. Assign the point values to each vote. Number of V...

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three sub-part...

Q: . Let a and b be integers. If 7 | (17a + 256), prove that 7 | (10a + 11b).

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Q: (4) subgroup of order p and only one subgroup of order q, prove that G is cyclic. Suppose G is a gro...

A: Given that G is a group of order pq, where p and q are distinct prime numbers and G has only one sub...

Q: ) Given Xa+1 = X+ 2x3 + 3X, shown below (also shown is Xn+1 = Xn), and X5 = 0.1, what is AX;? a) 0.2...

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Q: - Prove that for all n E Z, we have ged(27n – 20, 4n – 3) = 1.

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Q: Find the absolute maximum and minimum values of the function, if they exist, over the indicated inte...

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Q: Let D be the region bounded by the paraboloids z= 12-x-y and Z = x +y. Write six different triple it...

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Q: Let G, H, and K be groups. Show that (G x H) × K = G × (H × K). Hint: An element of (G × H) × K will...

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Q: ) Given Xn+1 = X + 2x + 3X, shown below (also shown is Xn+1 = Xn), and X5 = 0.1, what is AX,? a) 0.2...

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Q: fl are fixe хе is di

A: Given: T(l)=l

Q: Use the sum of the first 10 terms to approximate the sum S of the series. (Round your answers to fiv...

A: We will first calculate the sum of first 10 terms of the given series then use the remainder estimat...

Q: Evaluate e*cos(x)dx using integration by parts

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Q: Consider the region D C R² defined by the inequalities æ² + y² > 1, x² + y² 0, and y <a. Let w be t...

A: Consider the region D⊂ℝ2 defined by the inequalities x2+y2≥1, x2+y2≤4, y≥0, y≤x Let w be the two for...

Q: 9) Here fct) - 2ltt 3) e 4) NOw, L{+s} = L{ th 3 2{} + 3 ト 3 =g(s) say So [:2e-5=constomt] - 2e-5 g(...

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Q: Lush Gardens Co. bought a new truck for $50,000. It paid $5,500 of this amount as a down payment and...

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Q: A rectangle of maximum perimeter is to be inscribed in the ellipse x^2/20^2 + y^2/12^2 = 1. The r...

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Q: =) Let a E R[x] with ao #0. Prove that a has a multiplicative inverse in R[[x]. You may assume that ...

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Q: 7-17 The Outdoor Furniture Corporation manufactures two products, benches and picnic tables, for use...

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Q: What does the remainder theorem tell us?

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Q: For each of the integrals below, decide (without calculation) whether the integrals are positive, ne...

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