Given the vectors A = (–2, 1, 3), B = (–5, 3, 0) in R³, then B x A is 9i - 15 j + k -9i - 15 j - k 9i+ 15 j - 11k 9i + 15 j + k

Q: Question 2. Given 2 0<t<4 0 elsewhere find F(w), the Fourier transform of f(t). Compute the values…

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Q: express each of the following English sentences in predicate calculus  1. Every white bird likes a…

A: 1. Let us define the following symbols first.        WB(x) : x is a white bird       P(x) : x is a…

Q: H.W. 1. Find the Fourier transform of f(x) Hence prove that fo dx = sin² x x² :=/ = Sa- |x|, |x| <a…

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Q: 3. SOLVE USING TWO-PHASE METHOD Minimize x₁-3x3 subject to x₁ + 2x₂ - x3 ≤ 6 x₁ - x₂ + 3x3 = 3 X1,…

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Q: H.W. Solve power series of ODE by using Frobenius method? x(x − 1)y' + 6x²y + 3y = 0

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Q: Problem 54: Prove of find a counter example: If there are exactly 2 nodes in G with odd degree there…

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Q: $4500 due three months ago but not paid and $2500 due in three months are to be replaced by a…

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Q: If the arithmetic progression whose common difference is nonzero, the sum of first 3n terms is equal…

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Q: 2x1 -X1 + 3x1 + X2 - X3 = 3 2x3 = -8 X3 = 0)

A: We solve given system of equations by elimination method.

Q: Using the Method for Variation of Parameters for the differential equation y" + P(x)y' + Q(x)y =…

A: To find solution of non homogeneous differential equation,  we use method of variation of…

Q: Write the function f(z) in the form u + iv: (a) z + iz²; (b) 1/z; C - C = . (c) z/z.

A: According to guideline we need to solve only one question.

Q: The particular solution of the nonhomogeneous DE: y" - 4y - 5y = e* can be expressed as p = ₁ + ₂5x…

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Q: 3. Determine the flux of the vector field F(x, y, z) = (x, y, z) across the portion of the…

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Q: 14. Identify any dictator and all dummies in the following the voters in the order listed are A, B,…

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Q: A) Find x{(e-51-7)²} L B)[ Use the definition to evaluate the Laplace Transform of the function 2,…

A: FIRSTLY WE USE AN IDENTITY, a-b2=a2+b2-2ab ⇒e-5t-72=e-5t2+72-14e-5t⇒e-5t-72=e-10t+49-14e-5t AND THE…

Q: Consider the following function: f(x)= x4+108x−13 Step 4 of 4 :   Enter the x-values of any local…

A: Concept to be used: Let fx be a function. Find f'x and substitute f'x=0 to find the critical points.…

Q: part 2) a) Solve y" - 2y' +4y= 0. b) Write down the complementary solution of y"-2y' +4y=1+t c) Use…

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Q: Find the equation of the plane containing the line 2+²=1,x=0_ 0. b с

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Q: 2. o) Let 5 be the standard basis {1, t, 6²3 for P₂ and B = { 1 + 2€ + €²₁2 + 5 €, 3 + 3€ + 8€²), B…

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Q: Given the points P = (1, 4, 2), Q = (-2, 3, 1) and R = (-3, -2, 5) a) Find the simplified equation…

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Q: Let L: R² R² be a linear transformation defined by 1 L ([]) = [2₂3] [] Which of the following is in…

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Q: If the coordinate vector of V R³ with respect to S is [v]s = = L(v)? -1 A W

A: For the given Linear transformation, we have to find L(v).

Q: Consider the differential equation defined by the auxiliary equation (D3 - 4D)y = 0. What is the…

A: The given differential equation is D3-4Dy=0. Our aim is to find the general solution to the…

Q: Which of the following statements is CORRECT? O a. One drawback of the payback criterion is that…

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Q: A state legislature consists of 42 Republicans and 34 Democrats and one Independent. How many…

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Q: 1. Solve (D² + 1)y = cotx csc x 2. Solve (D2+3D)y= -18x

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Q: shipment of 40 inexpensive digital watches, including 9 that are defective. is sent to a department…

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Q: (a) COS r = C 2πT — 9 C: + i sin 2πT 9 3 " 0 = #

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Q: Use cylindrical coordinates. Evaluate JIS. √x² + y² dv, where E is the region that lies inside the…

A: Evaluate the integral.

Q: (c) u-8v-2w=1 u+v+5w = 4 3u-v+w=-2

A: u-8v-2w=1u+v+5w=43u-v+w=-2

Q: 9. Find the flux of F = (x₁ - y, z²) across the solid that is enclosed by the hemisphere z = plane…

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Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a…

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Q: Find the area of the given region. Use a graphing utility to verify your result. 2 sin x 1 + cos x…

A: From the picture lower limit of x is π/4 and upper limit of x is 3π/4.

Q: 6. Evaluate I = [(x+y) dz-(x−y) dy, where C' is the ellipse x = a cos 0, y = b sin 0,0 ≤ 0 ≤ 2π, с…

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Q: 1. Let f(x) = sin(e-²2). (a) Use the two-point backward-difference and forward-difference formulas…

A: Given Data: Let us consider the given function, fx=sine-2x (a) Use the two point backward difference…

Q: 2- Using echelon form solve the following linear system of equations (b) x1 - x₂- -2x₁ + 6x₂ + 2x₁ +…

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Q: Prove or disprove: U(7) = 26.

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Q: DETAILS TDOORS. (a) If f(x) MY NOTES find the Taylor polynomial centered at a=0. Write at least 4…

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Q: d) x1 + 2x2 + 2x3 + 5x4 = 11 2x1 + 4х2 + 2x3 + 8x4 = 14 x1 + 3x2 + 4х3 + 8x4 = 19 X1 - X2 + X3 = 2

A: We solve the system of equations.

Q: 7. The nth partial sum of the series Σa is given by S 11 n 12-1 Find the 7th term using the sum.…

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Q: Given f(x,y)=4+x² − 3xy + y³ . Find all relative extrema and saddle points. Show all steps that…

A: Given: fx,y=4+x3-3xy+y3To find: All the relative extrema and saddle points of the given function.

Q: The function f(x, y) = x² + y² − 4xy has three critical points: (0,0), (−1,−1), and (1,1) Find the…

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Q: Solve the Pifferenti al Equations". 2 0 (1² ~4) y₂ (e ²×~4) @D²-1) y = le ²*+1)

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Q: DETERMINE SOLUTION OF 1 x dy dx + y = x² + x (2x+3y-13) dx + 3x - 2y) dy = 0 DE

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Q: The Fourier transform of f(t) is F(w): = 6e-6jw wj 7 7+ Using the Convolution Theorem, find f(t) in…

A: As per the question we are given the Fourier transform of the function f(t) as F(ω) And we have to…

Q: let pro be the first of the maritha mean between two numbers and q the first of nn hermonic mean fue…

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Q: 5. A college dean has received the following results from a department chair about MTH 123, which is…

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

Q: 1) = {(x) = 1² [x] - 2-x . Graph the piece-wise function: f(x) = if - 3 ≤ x ≤ 0 if 0 < x≤ 3

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Q: 2k+1 2. ΣK=12k²(K+1)² 3. Σ=1 tan-1(k + 1) – tan^1(k)

A: Using limit comparison test:

Q: Σε ≡ the series Σ (-1) ¹2" n! n=1 or divergent? Justify your answer. absolutely convergent, C

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