Rules of inference. Answer 3

Q: yll – 3y' – 4y = 30e**

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Q: Determine the Inverse Laplace Transform of the functions using the Laplace of Integrals and…

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Q: Give/Describe a generator, a directrix and the rulings of the cylinder x = cos z. Draw a sketch of…

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

Q: Solve the following differential equation Integrating Factor by Inspection: 1. (2y – 3x)dx + xdy = 0

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Q: Find the linear approximation to h(y) = Sin(y+ 1) at y =0 Use the linear approximation to…

A: This is a problem of linear approximation.

Q: 5. Linear Algebra Consider the following matrices: and B = 4. A = II (a) Compute A+B and (AB)-1. (b)…

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Q: A lighthouse is on an island 250 meters off shore. The lighthouse beam makes a full turn every 7…

A: Solution

Q: Determine the Inverse Laplace Transform of the functions by reduction to partial fractions. s-8 3.…

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Q: 4 1 ||x²ydxdy 4. 2 0

A: To solve double integral  Differentiate with respect to one variable and keeping the other variable…

Q: Find the sum of the 3rd and the 7th term of the sequence: 1, 4, 13, 40, 121, ...

A: We have to find the sum of 3rd term and 7th term of the given sequence.

Q: 2. (a) Find the exact length of the curve (i) r = 1+ sin 0, 0<0< 2ñ, (ii) r = 2(1+ sin 0), 0<0< 2n.…

A: 2. (a) (i) Consider the given polar curve, r=1+sinθ, where 0≤θ≤2π The Arc Length of a polar curve is…

Q: (a) Consider the initial value problem dy y(0) = 3. %3D dt -3 Does Picard's Theorem guarantee local…

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Q: transforms of the given s-domai 5)e^-5t + (5/56)e^2t - 127/1000 5)e^5t + (5/56)e^-2t - 127/100C

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Q: let f [od]R begiven fa show whethe the %3D functionis PointConVelgentand Vegular ConVorgent

A: Given :  fn : [0, 1] →ℝ  defined by ;                      fnx = nx1+nx To find : We have to check…

Q: Let 03 Solve the initial value problem + 4 = f(1) with the initial conditions /(0) = 0 y(0) = 2. %3!

A: Introduction: Laplace transformation is a tool to solve a higher order initial value problem. The…

Q: Have a look at the following graphs and write the mathematical notation of the following definite…

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Q: 5. lim 2x-1

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Q: Find V × (V × F) if F(r, y, z) = xyj+ 6xyz k.

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Q: Determine the Laplace Transform of the following functions. 5 2. (e-t – e-t) 2t Problem 2. Which…

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Q: Twisted. Suppose we are given a figure consisting of two twisted strings that are connected by…

A: It ensures that the fibers are coherent and that the yarn is strong enough. Twist is also added to…

Q: 34+34 + 3% + 3y = 에 + 3y =D 이 2 dx dx dx

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Q: 3.) Find the area of the region which is inside the circle r= 1 and outside the cardioids r=1+ cos…

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: Evaluate the integral. NOTE: Enter the exact answer. 9T dy da Jo (ry + 1)²

A: To find the value of the given integral :-

Q: Evaluate the line integral / (6x + 2y)dx + (x – 7y)dy along the T curve C : x = 10 cos t, y = 20 sin…

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Q: HL solve by Picard nthod (up to third appratination) +yz yco)=o ased te sed Fined yco-l)?

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Q: Rauschenberg Manufacturing is investigating which locations would best position its new plant…

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Q: (11) Use the binomial theorem and differentiation to find a formula for the sum i=0 (Hint: Consider…

A: To find: The sum ∑i=0ni-2i-1ni by using the bionomial theorem and differentiation.

Q: . Give/Describe a generator, a directrix and the rulings of the cylinder x = cos z. Draw a sketch of…

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

Q: Using the algorithm in Gaussian elimination to solve the system of equations, identify the values of…

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Q: 10. True or False: If A, BE M, are: nonsingular matrices, then A-+B- is nonsingnlar. (a) True (b)…

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Q: | (2x - y) dx + (x + 5y) dy. Evaluate C: x-axis from (0, 0) to (0, -5) and (0, -5) to (7, -5)

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Q: 1. Convert the given bearings to azimuths from north and compute the angle, smaller than 180°,…

A: a. Consider the given bearing, N27°50'05''E Construct the diagram of the given bearing, It can be…

Q: A company is seiling a new machine. The reliability engineer, has designed the machine to have a…

A: Solution :-

Q: 2. Find the solution to the following Laplace equation Vu -0, 0<I<3, 0<y<1 where the boundary…

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Q: A cube of side 2 cm is to be made. However, due to erroneous measurement, the actual side of the…

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Q: Determine the Laplace Transform of the following functions. -3(1-cosh 377t) 4. t Problem 4. Which…

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Q: (b) Let A = {1,2,3}. Consider the relation R on A given by R = {(1,2), (1,3), (2,1), (2,3), (3,2)}…

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Q: A frustum of a sphere have a thickness of 10 cm. If the base radii are 19 cm and 22 cm, determine…

A: we will use formula for volume and surface area of frustum of cone

Q: ) Find JAn| for arbitrary integer n. (Hint: use recursive relations) p) Find A. [Hint: use either…

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Q: 6. Evaluate * d³y__4d²y_ _169dy 3. + 676y = 0 dx3 dx² dx y = Cje-13x + Cze13x + C3e** y = (C, –…

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Q: NEED ASAP!! What is the argument of 2-√3-j?

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Q: Question 8: Let S be a given nonempty set and h: S → S a map. A point ro €S is called a fized point…

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Q: Solve the given initial-value problem. () 6 9 X' = X, X(0) = 1 12 5

A: The solution is given as

Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. a = 8 b = 4…

A: We will draw solid of rotation 1st and then take cylinder whose axis will lie on axis of rotation

Q: Solve the De as follows via Laplace transformations: 18y" + 27y" + 8y' + 12y = 0; y(0) = 19/12,…

A: The solution is given as

Q: Using the Adams-Bashforth Predictor and Corrector Method, find y(3.9). given the differential…

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Q: Consider the differential equation (x+y)dx- xdy3D0 with the initial condition that y=1 when x = 1.…

A: We first calculate fourth order  runge kutta method next week calculate order of differential…

Q: Richard bakes bread for a bakery. The table shows how the time Richard spend in the barkey changes…

A: We need to find the regression equation y on x  x y x-x y-y x-x2 x-xy-y 240 288 -66.75 -66.75…

Q: Given the linear system below: a + b + c = 0 2a + 3 b + 5c = 1 4a + 6b + 8c = 0 a. Find the lower…

A: We are given the following system.          a + b + c = 0 2a + 3 b + 5c = 1 4a + 6b + 8c = 0 The…

Q: coth(æ) ( „mlsinh"ar) + tanh?x) a(sinh² r) + tanh?aæ) da

A: To find: ∫cothxπlnsinh2x+tanh2xdxNote: (1) cothx=ex+e-xex-e-x=coshxsinhx=1tanhx(2)…