63. x - 2y + 4z = 2, x + y – 2z = 5 %3D

Q: 1. d%= 1 4. P(x) 0.06 0.23 d. 0.35 0.05 2.

A: Note: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 1 [{t• c*} = s2(s – 3)

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Q: 10. S 4+e3x

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Q: 3. A 5% doxtrose solution (DSW) contains 5 mg of dextrose per 100 ml of solution. (a) How many…

A: Part(a): Given, 5% dextrose solution (DSW) contains 5 mg of dextrose per 100 ml of solution.…

Q: [1 2 1] A = 2 0 2 L2 3 kl

A: The given matrix is A=12120223k. The value of the determinant is 1.

Q: 2.Linean ectuation 4-L4y-3x)dX+5Xdy=o 5.

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Q: The value of a car purchased for $40,000 decreases at a rate of 12% per year. What will be the value…

A: The exponential decay equation is given by:- 'A=P(1-r)t, P=Initia; value, r=rate of decay, t = time

Q: Differentiate: /(x)=e*+3"+ In(4) A s'(x)=e*+3* B ® s'(x) =e*+3*In(3) + © s(x) =e*+3*+ ; (D D…

A: We need to find the derivative of the given function.

Q: - 4.9t tlut t600=0 t--14 士 + 4ベ49せo0 - 2<4:4 tz 12.59 tキーve

A: solution of quadratic equation is given by :when ax2+bx+c = 0x = -b±b2-4ac2a

Q: 7) إذا كان( ,4)x~b فأن ((P(x( < E(x هو : ب) 0.5123 0.2531 (¹ 0.1532 ( 0.3125 (

A: Given;x~b(4,12)  i.e. x has binomial distribution.where n=4  and p=12find P(x&lt;E(x))=?

Q: S 10) L -1. 2 s* +2s – 3 11) L-' (s – 2)(s – 3)(s – 6)J 1 12) L' 3 s° +5s,

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Q: 216 X(s) = s4+5s3+15s2+45s+54 2s-9 Y(s): s(s2+10s+146)

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Q: et dt 3/2 +8 e' +

A: Given integral is, ∫ete2t+8et+732dt. It is integrated by applying u-substitution method, Substitute…

Q: y"+ 1.5y'+0.5625y = 0 with y(0)=2 & y'(0) =-3 homogenous

A: y"+ 1.5y'+0.5625y = 0 with y(0)=2 &amp; y'(0) =-3

Q: b. Evaluate for y if x = 2.3 and z = -1.5. Round to 2 decimal places. Y =

A: Given that: x=1+yyz

Q: s+11 4. Determine L-1 l(s-1)(s+3))

A: First write the partial fraction decomposition of given function.The using the inverse Laplace…

Q: 4. A 5% dextrose solution (DSW) contains 5 mg of dextrose per 100 ml of solution, (a) How many…

A: Consider the given information.

Q: 1. Evaluate: e 3z I = dz (e² + e5z)2

A: given integral I=∫0∞e3zez+e5z2dz claim- evaluate the integral

Q: 12 - y+ ] - dy = |+C

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Q: | (h(y) – 4)dy = 18 h(y) 9(y) 1 |dy 19 12 15 18 - 18 - 7g(y)dy = 1

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Q: l+ 2e 4s 3e 3s s(1 – e 4*) — е

A: Introduction: When a function is periodic, the Laplace transformation can also be applicable in this…

Q: 4. One way to prevent the spread of disease is to simply quarantine infected individuals. A disease…

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Q: 5.3.2 1F NR NM Pme: ANPM~ANAR R.

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Q: Q6. For a fully continuous 20-year term life insurance on (x) with face amount 1,000, you are given:…

A: Given       Type : fully continuous 20 year term life insurance   The net single premium : 150  The…

Q: Individual A has a red die and B has a green die (both fair). If they each roll until they obtain…

A:

Q: evaluate L-1 { t/(s-2)(s+3)}

A: By using partial fraction and table of Laplace transform we solve the given problem as follows :

Q: 8.s Y°+y² _ dy + y² – 1 y2 + 1 8. S

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Q: .3 S(3 – e3*)²dx

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Q: ¹ Find the value of L-1 s²+6 [(s²+1)(s+4)]

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Q: 5. r(x, y) = ln (x + y)

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Q: 2 0.8 f(x, y) ,2 + fe af

A: Given function is, fx,y=x2+y920.8

Q: 00 Σ Estimate 2 n = 1 (2n + 1)-6 correct to five decimal places.

A: Solve

Q: 1 L-1 (s-1)(s-3)(s-4).

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Q: 9. S(9 + 8y – y²)= dy

A: Topic = Integration As per guidelines , At  a time only one question can be answered . please repost…

Q: 6 3 e dædy 2.

A: To find the value of the given double integral: ∫06∫y23ex2dx dy Here, finding the given integral…

Q: 3t when LI 1 ニe then L %3D S- 3 S-3

A: If Laplace transform of the function f(t) is denoted by Lf(t) or F(s), then the Laplace inverse of…

Q: 1 25. L-I s + 5s

A: Note : " As per our guidelines we will solve only first question . If you want any specific question…

Q: A tank contains 800 liters of fresh water. Brine containing 2.5 N/L of salt enters the tank at 20…

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Q: 0.0035 coefficient x 10 p km 268 K coefficient x 10p 30.7 nm coefficient x 10p 6.75 mg coefficient x…

A: Given data is: 0.0035 Km=coefficient×10exp268 K=coefficient×10exp30.7 nm=coefficient×10exp6.75…

Q: 7 4 In GL(2, Z13), det 1 5 11 9. 35

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Q: 9:17 e dt 2/T الخيار 4 T/2 الخيار 2 II

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Q: S(6 + 6y – y²) dy

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Q: Find the general antiderivative for 3Sec^2x-4/x^2

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Q: 39. If z = 5x² + y² and (x, y) changes from (1, 2) to (1.05, 2.1), compare the values of Az and dz.

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Q: b. y = e-2x @x, = In 2

A: Solution

Q: 5. x = (y*/4) + 1/(8y²) from y = 1 to y = 2

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Q: 13) 14) 120° Y 76° K L. 134° Z. В с 15) 16) K5x-59) A 48' (X-i1)

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Q: 2 4 Mx(t) = -e+ 3t e' + e" + %3D 3 15

A: Given: Mxt=13et+415e3t+215e4t+415e5t

Q: 4 SS C) Jx dy

A: