10. Find the value of 5368 (mod 41) Answer: Show your work here:

Q: Find the Inverse Laplace Transform of 2+4s +4 B -21 te -12 2.

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Q: Use variation of parameters to find the particular solution to y'' + 5y' + 4y = 2e-34 Y(t) = […

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Q: Using definition of Laplace transform, find F(s) if { 0 4. 2 f(t) = e(1–2t)

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Q: CustomerT batslgmos dmn svig ai a W Y Z. done 10 2 8 on 6. 4 12 8. 14 10 8 2 D 4 14 10 8. Тaxi

A: Hungarian  Method-2 :-

Q: f(t) = sinh? 4t cosh 4t 32s А. (s2-144)(s2-16) C. 4(s2 -144)(s2 -16) s3-4s? +560 В. (s2-144)(s2-16)…

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Q: 8) Use the Gauss-Jordan method to find the inverse of the matrix A %3D 23

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Q: Which one is not equal to o V(x + 3)³ dx. lim, 100 E i=n-1 (음 + 3)3. O lima-00 1ri=n-1 Li-0 2i+1 +…

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Q: Question A1 Consider a vector field F= 2x° yị +x'j., and a curve C defined by the equation y = 2x².…

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Q: If the order of A is 4x 3, the order of B is 4 x 5 and the order of C is 7 x 3, then the order of…

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Q: Find the Laplace Transform of cos(2t) + 7sin(2t) S- 14 A s2+2 14 s2+4 s2–4 14 s2+4 s2+4 s+ 14 s2+4

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Q: 5. Chose the curl of f (x, y, z) = x² i + xyzj– zk at the point (2, 1, -2). a) 2i + 2k b) – 2î–23 c)…

A: find curl at given point (2,1,-2)

Q: (2x - y)da + (4æ + y- 6)dy = 0 C = x - y-1 Option 2 None of the choices C = x +y- 1 C = x-y+1 Option…

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Q: n topulogical manikuld - show that Mis locally compact 6

A: This is a problem of differential geometry.

Q: Assume that the profit generated by a product is given by P(x)= 4/x, where x is the number of units…

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Q: Find the solution. (x+e")dy – dx=0 x=ce" + ye" B y=ce"+xe x=ce"+ ye D y=ce"+ ye

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Q: Assume that the matrix A is row equivalent to B. Without calculations, list rank A and dim Nul A.…

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Q: Given 4 1 -3 -1 2 A = 3 4 -6 8 0 -1 3 Determine the rank of A.

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Q: f(t) = 2t2 + 4t – 3 4+2s-3s? А. 4+4s-3s? С. s3 s3 2+2s-3s2 В. 2+4s-3s2 D. s3 s3

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Q: Prove that if a is an even integer that

A: To prove that if a is an even integer that is not a multiple of 4, then 4|(a2-a-2).

Q: if f(z) = (ax – x³ + 3xy²)+ (by – 3x² y + y) is analytic, then the value of a and is

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Q: Find the solution. (D2+2D-3)y = 0 A y = B y = c,e- +cge²2 D

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Q: 1 7 8 r5 1 2 -2 3 5 -6 -9 12 -2 -3 -4 0 -9 -7 -8 -4 1 A B 5 [10 -11 1 3 4 С %3D diag(6, —4, 13, -15)…

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Q: Find the solution. (D + 602 + 110 + 6)y = 0 A y = c,e-2«, +c,e y = c,e '+c,e -3x c) y = c ,xe" + c,e…

A: Consider y=emx be the solution of the given differential equation. Differentiate the equation y=emx…

Q: Problem 7. Let f : N→ N be the function such that f(n) = 1 if n is a perfect cube, and f(n) = 0…

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Q: Зх — 0.1у — 0.2z %3D 7.85 0.1х + 7y - 0.3z %3D —19.3 0.3х — 0.2y +10z %3D 71.4

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Q: Match graphs A-D in the following figure with the functions below. Assume a, b, c and d are positive…

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Q: Problem 5. Find all primes p such that 1+p: 2P is a perfect square.

A: We have to find all prime p such that 1 + p×2p is a perfect square.

Q: 6. Determine whether P = and Q = 10,3,2 > are orthogonal vectors.

A: As per our guidelines we need to solve only one question. Please, repost the remaining questions as…

Q: Let R = {(x, y) € R² | In y <r <1n1< y< e} and let S be the surface defined by the vector function…

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Q: Learning Competency: Determine the relationship between differentiability and continuity of a…

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Q: QUESTION 2 Let V be the set of all ordered pairs of real numbers with addition and scalar…

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Q: Find the D.E. for each of the curves determined by the condition that at each point (x, y) ,   The…

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Q: Express the griven below in rectangulat form Co (cos le0° + i sin 180°) a. le + oI b.-et Di -1 + oi

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Q: Evaluate the following problems using modular arithmetic. Write your answer as a modulus statement.…

A: To evaluate the given problems using modular arithmatic.

Q: xdx+ where L airche arc yey (x - {) %3D

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Q: 2. Given Ü = 7î – ĵ + k and W = -2î – 5ĵ + 6k , compute a) Proj w V and b) Proj y W

A: Ya

Q: -1 sec d0 2.

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Q: present

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Q: ft) = cos 2t + sin 2t + cosh 2t + sinh 2t 2s? (s+2) А. (s2 +4)(s2 -4) 2s? (s-2) С. (s2 +4)(s2 -4)…

A: We find the Laplace Transform of  f(t)=cos(2t)+sin(2t)+cosh(2t)+sinh(2t).

Q: PROBLEM # 1 t3uy +5uz, FOR THE VECTORS A= Ux B= 2 Ux + 4uy + Guz, and C=3ux +4uy +5uz, Sko SHOW THAT…

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Q: Which formula can be used to estimate the annual investment?

A: Given: Let's determine the formula used to determine the annual investment.

Q: Provide an appropriate response. How do you know this? What theorem did you 13) Let f have a…

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Q: by using the (graphical method) find the optimum solution of X1, X2 that the maximum Z=10X1+25X2…

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Q: find the Laplace transform of x3

A: Given : To find the Laplace transform of x3

Q: In the past 20 years, Wonderful Water Park had eighteen million, four hundred twenty thousand…

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