4s (v) L-1 s²–16) 2 (vi) L- ((s-3)5)

Q: z dz 2). S: 25+16z2

A: We can find the integration as below.

Q: F(s) = (8s + 11)/[(s-4)(s²+9)] %3D

A:

Q: 2s + 1 7. F(s) = %3D s2 - 2s + 2 1- 2s 9. F(s) %3D s2 + 4s +5

A:

Q: Fina aly for y = 3x V3-x4

A: we have to find dy for given y

Q: 1– 2s F(s) = s² + 4s + 5

A:

Q: .3 4 1 1) dzdxdy S² S³ S1²3 S₁ 0 1 z(y4+1)

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: (a) Y(s)-e-5s (85-3) s²+6s+12

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Determine la solución general de la ecuación diferencial Y'-2x/2-x^2(y)=e^x. Y(2)=4

A:

Q: Two men start moving from two different towns 20km apart and walk towards each other. They meet in…

A: When two bodies move towards each other, their relative speed is equal to sum of their individual…

Q: f(t) = te3t cosh 4t s²-6s+7 s2-6s-7 А. (s2-6s+25)2 С. C. (s2-6s-25)2 s2-6s+25 В. (s2-6s-7)2 s2…

A:

Q: 2s +10s F(s)=D (s²–2s +5)(s+1)

A: As per our guidelines we are supposed to answer only 1st one. Please repost 2nd question. Thank you…

Q: The number of patrol officers needed on staff depends on the crime rate of the county, which is…

A:

Q: dy 2ty ii) 12+1 - 21 – (2 – In(t² +1)) = 0; y(5) = 0

A: Differential equation of the form Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x Given differential…

Q: 7) Two ships are leaving port at the same time. The first ship sails due east at 20 km/h, the second…

A:

Q: 4 (iv) F(s) = s2 +9 2s + 16 (v) F(s) : s2 + 4s + 20 3s – 15 (vi) F(s) %3D 2s2 – 4s + 10

A: The Laplace transform of a function is an integral that converts the real variable into complex…

Q: 12. ∇⋅F of F = (2xy2)i-(3y3z2)j at (2,1,-2). a. 4 b. 27 c. -7 d. -34

A:

Q: y''+3y=6x; y(0)+y'(0)=0; y(1)=0

A:

Q: 8s – 3 F(s) s2 – 36

A:

Q: determine L−1[F].

A: Given that, Taking inverse Laplace transform from both sides, By using L-1{aF(s)] = aL-1{F(s)}; a…

Q: Xxy-Z = Gauss eleminatin %3D 2X -y42=5 -x +2y+23 or

A: We have to solve given problem:

Q: (8 - 1)e-2s S. F(s) = s2 – 2s + 2

A:

Q: 2s +1 s2 – 2s + 2 7. F(s) = %3D

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

Q: What is the max profit and number of units that must be produced and sold in order to yield th

A: Given that: Revenue function R(x)=3x                    Cost function, C(x)=0.1x2+0.9x+8

Q: 2. Two cars, one is going due East at the rate of 90km/hr and the other is going due South at the…

A: It is given that one is going to East at rate 90 km/hr and other to south at rate 60 km/hr. Use the…

Q: 1) e - 3 s2 -7 2) -la 2 (s – 3)5 7s 3) C-1 s2+4

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: A. Homo geneous Higher Ordered LDE 1. (D5 - 1204 + 520D3 - 112D² + 192D - 256)y- O

A: Solution

Q: 1. y = - V2x +1 2. y = (x – 1)3 + 2 3. y =-1 2x

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 3s +2 1 Find L-1 s2 + 4s + 29

A: To find laplace inverse.

Q: 2s - 1 s2 - s -- 2' F(s) = s2 – 4 - 4 F(s) : (s2 + 4)2 1 F(s) = s2 + 3s + 2

A:

Q: O y'+ (oy -asin 8t y W): -1 2

A:

Q: f(t) = te3t cosh 4t s2-6s-7 А. (s2-6s+25)2 s2-6s+7 С. (s2-6s-25)2 s2-6s+25 3. (s2-6s-7)2 s2-6s-25 D.…

A:

Q: y³dy 2. S. (a²-y²)7

A:

Q: F(s) = 5s+3 6s 8 9- - (5s2 +4s+1) s2+7 9

A:

Q: The sum of two positive numbers is 16. What is the smallest possible value of the sum of their…

A: Let x and y be the values of the two positive numbers whose sum is 16. Need to minimize the…

Q: the fuel efficiency for a certain mid size car is given by E(v)=-0.018v^2 + 1.476v+ 3.4 where E(v)…

A: The fuel efficiency for a certain mid size car is given by  Ev=-0.018v2+1.476v+3.4 The given…

Q: 3s 4) F (s) s2+2s-8 10-4s 5) F (s) (s-2)2 s+12 6) F (s) s2+4s ||

A: Inverse Laplace transform 1/(s-a) = e^(at)  Inverse Laplace transform 1/(s-a)^2 =t e^(at)

Q: Estimate (8.06)-/³ using differentials. (8.06)2/3

A: The given expression is

Q: dy 3. 9-49y²

A: To find out the integration.

Q: L() tu(t-3) e6-3s ( 1 + (s+2} 3 s+2 e2-3« ( + ) o 1 (s+2} S+2 e-3+ ( +) o 1 (s+2} s+2 ( e-6-3s 1 3 +…

A: We will find out the required value.

Q: More and more businesses and homeowners are installing solar panels on their roofs to draw energy…

A: First calculate the value of t in 2003 and 2005 with reference to 2000 than put that t in s(t)

Q: A group of nine marine scientists is exploring an underwater cave 320 meters below the surface in…

A: d = Magnitude of the depth below the water surface, in meters.        (depth is always negative as…

Q: an = Vn - Vn + 1 S1 S2 S3 S4 Sn II

A:

Q: The total cost in pesos of producing x pools of low voltage cable is given by C = 0.002 x3 - 0.5 x²…

A:

Q: 2s – 3 F(s) s2 + 2s + 10

A:

Q: 2. 2r +z +w 5 y -w = -1 3x -z - w = 0 4r +y + 2z +w = 9

A:

Q: 4s+2 1. F(s) = s² +6s+34

A:

Q: 4. V21+4:-z dz

A:

Q: seParable 5い / / とll y=2メJタ! 4 xx

A:

Q: Vt3 e-st dt 4s2

A: Explanation of the answer is as follows

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.