Use the method of variation of parameters to determine a particular solution to the given equation y" 324y= tan (18x).

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Q: l6 WHe the augmented matrix as asycten of equa ions. Fd o -3 100 O 200 E3 | -5 350 メナーリ Z= xt yt_ Z=

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A: Solution :-

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Q: Q.3. Use the method of Laplace Transform to solve the initial value problem d y"+y'+y 3 sin(2t),…

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Q: Find √80 using the linear interpolation method.

A: Consider the function as y=x.

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Q: Calculate 373,755,967,102 x 389,291,774,965 mod 100.

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Q: b) Evaluate the following limits: 2(-3+h)2 18 i. lim h→0 - h (t-V(3t+4) ii. lim t→4 4-t -2X 6e4x –…

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Q: find the answer T(4). (B(4) X N() -

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Q: 1. For each situation below, state the transformation(s) that occur between f(x) and g(x). f(x) g(x)…

A: As per guidelines i had solved the first questions with maximum of 3 sub parts.

Q: Consider the following two matrices: -1 4 2 1 A = 2 -1 B 3 1 3 -1 -2 Which of the following four…

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Q: 3. (i) Let e ER and 1 1 A = 2 2 (?) b Find the condition on e so that there is a solution of Ax = b.…

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Q: Consider the following statement "There exists a fish at every pond " Which of the following…

A: We know that There exist x such that A(x) it's negation is For every x, not A(x)

Q: If x, y and z satisfy the system of equations below: 5х — у + 2z = -2 —5х + 2у — 2z = 2 5х — у+5z =…

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Q: If f(x) = 0 is a cubic equation who'se roots are B.Y %3D a, ß, y and a is the harmonic mean of the…

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Q: Use Theorem 9.11 to determine the convergence or divergence of the p-series. 1 1 + 9 + 1 /3 +... 4 p…

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Q: 100 / Find the optimal solution of the following (T.P) by using Least-Cost method. 120 120 40 50 70…

A: Least-Cost Method:-

Q: . Graph the rational function f(x)

A: Given,        f(x)=x2-x-2x2+x-2

Q: .2 ペ+15X+ 32X"+23x*+25K-3 Ax (+メ+2) (x2+1)。 2.

A: ∫x6+7x5+15x4+32x3+23x2+25x-3x2+x+22x2+12dx

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Q: 5. A family driving across Canada in the summer experienced a delay when their motor home's engine…

A: We will use given equation of heat transfer and values to form equation ,from which we can find k

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Q: Of the following operations, which one is the fastest? a. - b. > C. + d. X

A: We have to choose fastest operations sign.

Q: e1+e2+e3+e4+e5+e6 = 16 where ei >= 0. What is the generating function? and what is the coefficient…

A: The given equation is e1+e2+e3+e4+e5+e6=16, where ei≥0. Since ei≥0, therefore the generating…

Q: (- 1)" Write out the first four terms out of the series >. „Find the series' sum if the series…

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A: To sketch the graph of the below equation. y=x+32x−1

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Q: A 2-dimensional 4-fold rotation (for example, a square) symmetry forms a group G with 4 operations:…

A: We shall answer first three subparts only asper company guidelines. For others kindly post again by…

Q: dz and dy IV. Suppose z is a function of x and y, and tan Vy² + x² = z"eby. Solve for

A: As per policy, we are solving only the first Question, Please post multiple questions separately.…

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Q: A company purchased factory equipment on June 1, 2021, for $155000. It is estimated that the…

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Q: 3. Plot the slope field for the differential equation = y² – x and sketch the solution for the…

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Q: Use Newton's method to approximate a root of the equation 4x° + 4x +1 = 0 as follows. Let x1 = - 1…

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Q: Who is Leonhard Euler and what was one of the significant contributions he made to the field of…

A: Leonhard Euler is a Swiss mathematician. He has discovered Euler's formula and invented calculus of…

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Q: Show that f '(x) is a continuous function for all x, on the interval -L < x ≤ L f(x) = (x / L) (1 -…

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Q: Let A be the point with coordinates (5, 2, 3) and let B be the point with coordinates (4, 2, 3). Let…

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