For the numbers 12, 13, 15, 17, 20 Compute: SX   SX2   (SX) 2

Q: Find exp(A) where [1 A = 2 1 2.

A: According to the guidelines I can solve the first problem. For the second problem you have to post…

Q: Find the residues

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Q: Find the 73%, 82% and 94% response time for the following system given: ÿ + 2ỷ + 4y = U(t) %3D

A: Given y ..+2y.+4y=U(t)     where U(t) =Unit step function Taking Laplace Transform on both sides,…

Q: 1. 2r +3y 5 at (1,1)

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

Q: Q2/ Compute R, for this figure 40 110 120 80 750 950 30 75 30 45 40X Sase Une

A: In the given figure, here we have a base length AB=x. Now using the sine rule in ∆ABF, we can write…

Q: Evaluate the following. √(- -18t² 4 +5t dt t

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Q: C. (à x b) .c

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Q: W.No:05 Computo A(seexs)

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Q: y is initialized with 90 and multiplied by a factor of 4 each time x increases by 1 1. y = 90 + 4x.…

A: here option (4) is true

Q: O Calculate the d eterminant of [I 30 2 -2 -5 7 4 3521 7-1 2 -3

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

Q: Find the value of a so that V1-x² O 1 2 O 3 2

A: SOLUTION-

Q: 6 - 1 2 Compute A - 31I, and (312 )A, where A = - 5 4 - 5 - 3 1 2

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Q: Find A for

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Q: You are given the following information: äx:T0j = 7.6491 Ax+1:9| = 6.59609 Ax+2:5| = 6.00768 i =…

A: Given: i = 0.05 a¨x:10=7.6491ax+1:9=6.59609ax+2:8=6.00768

Q: Determine the values of h (1) and h(0) if it exists.

A: The given function is as follows.

Q: O Given: m21 = 2x + 10 –+ m22 = 2y + 10 2 m23 = x + 2y Find: m21, mL2, and mz3

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Q: Compute 5f – 7g, given that f(r) - and g(z) - e. -1) "(z-1) Se

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Q: - Find in terms of Jo and J:

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Q: Evaluate csc2 3z dr cot 3r O 6cot 3xcsc3x + c O cot 3x + c Ocot 23xcsc3a + c cot 23x +c

A: Indefinite integration

Q: Use #1 to find z,z2

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Q: Find d = gcd (270, 105) and hence find integers x , y such that d = 270x +105y .

A: GCD stands for greatest common divisor for two or more numbers.

Q: (c) Use a calculator to verify that x = 62, x = 10 = 1042, y = 650, y = 95,502, and xy = 9,765. %3D…

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Q: v0

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Q: Compute: (i-2) (i+2) Answer: 2.

A: Solution: The objective is to compute the given equation

Q: Q1\ Differentiate the following 1)2xsin-13x

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Q: (b) Use a calculator to verify that Σx = 1.955, Σx2 = 0.552, Σy = 30.1, Σy2 = 151.65 and Σxy =…

A: Correlation coefficient: It is used to identify whether there is linear relationship between two…

Q: Perform the indicated operation. t3 + 3 1. t4 – 16 ' 16 - t4 7 + 8 Зх + 2 2. 2x2 — 7х + 5 2x2 — х —…

A: Please see the below picture for detailed solution.

Q: Find a mat rixP such that P- [1 0 P = 0 -1, -1 OAP = 1 1 OB P= 0 1 -1 0 OCP. 10 ODP = 1 0 OEP

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Q: FinD Z 1. to #a-z°

A: Givenz=-2

Q: b. |ā + (bx c)|

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Q: (c) Use a calculator to verify that x = 58, x² = 914, y = 648, r² = 94,842, and xy = 9,073. %3D…

A: Compute r =?

Q: For the numbers 1, 2, 4, 6, 8 Compute:  SX   SX2   (SX) 2

A: Given data is1, 2, 4, 6, 8

Q: (b) Use a calculator to verify that Σx = 24.2, Σx2 = 85.70, Σy = 53.5, Σy2 = 454.63 and Σxy =…

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Q: Convert the following LP into the standard form: max z 2x1 + 5x2 + 33 %3D s.t. x1 2x2 + x3 > 20 -…

A: We are given LP.  max Z  =  2x1 + 5x2 + 3x3s.t   x1 - 2x2 + x3 ≥ 20        2x1 + 4x2 + x3 = 50…

Q: (c) Use a calculator to verify that x = 5797, x = 5,606,171, y= 587, y = 67,455 and %3D xy 559,988.…

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Q: Determine s, t eZ where gcd(222, 921) = 222s + 921t.

A: I have used division algorithm to solve the problem

Q: Sove the fellowiheg "2 ........ .....A... ...... y(o)=-3

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Q: Perform the indionted operation. 2y-1 2x-1 2x 2x²+5x +3 -1 to ® 2x-1 x+1 3. 4. 3. x+3 2x²-x-3 x²-5x…

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Q: Let x~ N( M, -) Ti- 5, Ź (xi-x)* 2 %3D %3D n -1 Ź(xi- 7)" 2 2. T2 = 2. 2. 2. Check the Consist of 6,…

A: We know that, Y=∑xi-x¯2σ2~χn-12 Then  EY=n-1⇒E∑xi-x¯2σ2=n-1⇒E∑xi-x¯2=n-1σ2--->1…

Q: Find exp(A) where 4 1 A = 4

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Q: Find the pointP such that v = PQ has the components (-9.75, 5.75, – 16.5). Q = (-7.75, 6.75, –9.5)…

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Q: Let Compute θω -(2, -3) = 28 მs дw -(2, -3) = Ət w = 4xy-yz - 3xz, x = st, y = est, z = ²

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Q: 2x2+ 6xy- 8y2/ x3+ y3 times x2+ 2xy +y2 / x2-y2

A: 2x2+ 6xy- 8y2/ x3+ y3 times x2+ 2xy +y2 / x2-y2   We, have the formula  x3+ y3  = (x +y)(x2 -xy + y2…

Q: t²e st dt 2

A: Given integral is ∫0∞ t2e-stdt.

Q: Use Cayley-Hamilton to find Bª and B¯1 . Where [1 B = |0 2 1 [3 -1 1.

A: cayley hamilton theorem

Q: Determine the z-value of x=25 if H 16 and O 3. %3D

A: