3,-18,108,-648,

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A: Given: The function, fx=1.5-x11-x22+2.25-x11-x222+2.625-x11-x232   To determine: The gradients and H...

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A: Integrating factor of differential equation

Q: Find the Maclaurin series for the function. (Use the table of power series for elementary functions....

A: Any general Maclaurin series for a function fx may be expressed as fx=∑n=0∞fnxn!xn 

Q: Q/use Gaussian Elimination method to find the value of a, aa2 a3? ба, + (155)а, + (5525)а, + (225125...

A:

Q: 7. Which of the following is a differential equation with homogeneous coefficient? (이) (-Va ² + y? )...

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Q: The sum of three numbers is 89 . The third number is 3 times the first. The first number is 6 more t...

A: Let the first number is x, second number is y and the third number is z. Given the sun of three numb...

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Q: What is the general solution to the differential equation y[1 – xy tan(xy)]dx – x[1 + xy tan(xy)]dy ...

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Q: Find the values of a, y and z that correspond to the critical point of the function: f(z, y) = 422 +...

A: Please check the answer in next step

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Q: 2. Determine all values of a for which the resulting linear system has a. Infinitely many solutions;...

A: The matrix form of the system AX=b  with n unknowns a)The equation has infinitely solution  RankA=Ra...

Q: What is the general solution to the differential equation 2ydx = (x² – 1)(dx - dy) ? y) = x – 2 In(x...

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Q: Let F(x, y, z) = (-7xz²,9xyz, –2ry°z) be a vector field and f(x, y, z) = x°y°z. Vf=( ). V x F =( ). ...

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Q: A college dormitory houses 100 students, each of whom is susceptible to a certain virus infection. A...

A: This is a problem of modeling and IVP.

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A: 7.

Q: ty" (t) + (1 – t) y'(t) + y(t) = 0, t> 0, y(0) = 1, y'(0) = -1

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Q: Suppose that a group of illegal counterfeiters print 1,000 copies of fake $20 bills and introduces t...

A: Suppose that a group of illegal counterfeiters print 1,000 copies of fake $20 bills and introduces t...

Q: Which of the following is the general solution to the differential equation v dt + (2t + 1 – vt)dv =...

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Q: Geometric Sequence: az = 72, a4 432, аg 3?

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Q: Consider the function f : [0, ∞) → [0, ∞), f(x) = x + 1 Prove by induction that for any n E N %3D f"...

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Q: Find the surface integral F. dS of the vector field F(x, y, z) = (-x,-4, yzº) along the part of the ...

A: Solution:-

Q: Find the general solution of the differential equation y" – 10y + 106y = 0. NOTE: Use c, and cg as a...

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Q: n-l (4x-1)*1 n=0

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Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is in...

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Q: Let div F = 2(7 – x) and 0 < a, b, c < 13. (a) Find the flux of F out of the rectangular solid 0 < æ...

A: divF=2(7-x) 0≤a,b,c≤13.

Q: Find the outward flux of the vector field F = (x°, y°, z²) across the surface of the region that is ...

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Q: Evaluate the following. f (x, dS f(x,y) = x + y S: r(u,v) = 3 cos(u) i + 3 sin(u)j + v k, 0 < u S n/...

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Q: Rewrite the following linear programming problem using slack variables, and determine the initial si...

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Q: Laplace transform f(t) = t^2 sinh (2t

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Q: A company took a loan on the May 15th and paid it back on the Oct 20th. The amount of interest they ...

A: Simple interest

Q: Find the degree of the following Ihcc recurrences: 1. аm — ап-2+ 4an-3 + 2an-6 %3D 2. аn 5an-1 3. ап...

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Q: Let u2 M = E R* : u; 2 0 for i = 1, 2, 3, u Из U4 Is M a subspace of R*? Justify your answer.

A: This is a problem of vector space.

Q: SOLVE THE FOLLOWING DIFFERENTIAL EQUATIONS WITH COMPLETE SOLUTION AND NO SHORTCUT. a. x (dx/dy) + (...

A: Introduction: When a differential equation can be expressed as dydx+Pxy=Qx The equation can be categ...

Q: A. Choose a number. Multiply the number by 10 and add 6 to the product. Divide the result now by 2 a...

A: We can solve this by using given information

Q: 2. x + ( 1+x)y = e -x sin2x dx

A:

Q: Find a Taylor series for the function f(x) = cos (4x) about x = 0 and determine the 10th term of the...

A: Taylor series expansion

Q: 2. If A\B C B, which of the following may be true? а. АСВ b. A= Ø c. A OB = Ø

A: A\ B = { x : x ∈A and x ∉Ba and b may be true a. if A ⊆ B,  say A ={1,2,3},  and  B={ 1,2,3,4}A\B = ...

Q: Otrue O false

A: In this question, the concept of a truth table is applied. Truth Table In logic, a truth table is a ...

Q: Write the system of linear equations in the form Ax = b and solve this matrix equation for x. X1 - 5...

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Q: What is the equation of the curve whose slope at any point is equal to y cotx + tan?x and which pass...

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Q: 90x732

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Q: 1. Solve the initial value problem for the linear system of first-order ODES for x(t) and y(t): x' +...

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Q: -3 1 4 -24 1 Are the vectors 3 and -5 linearly independent? 12 -1 -4 3 -5 7 Choose If they are linea...

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Q: Find the area of the surface obtained by rotating the curve y = 4x + 4, 0 < x< 8, about %3D the x-ax...

A: To find- Find the area of the surface obtained by rotating the curve y2 = 4x + 4, 0 ≤ x ≤ 8, about t...

Q: Let u2 M = E R* : u; 2 0 for i = 1, 2, 3, 4 u = U3 U4 Is M a subspace of R*? Justify your answer.

A: Solution:-