Simpson's Three-Eighths (Use n = 12) 9. So¹ (3x²+3) dx 10. (2 sin x + 3cos 2x) dx

Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: f( x) = sinx - x3 + 1 By Midpoint method f'(a) = (f(a+h) - f(a-h)) /2h

Q: Let f(x)=√3x-2 on the interval volume of the resulting solid. 43x 135 83m 125 83x 135 43x -unit3…

A:

Q: Let X denote the reaction time, in seconds, to a certain stimulus and Y denote the temperature (°F)…

A: Note: according to our guidelines we can answer only first three subparts

Q: i s'ex eo e V². (-^x) dy dz -jz 00

A: Solution : a∧x.a∧x=1 ∫01∫01a∧x∈0e-jz.(-a∧x)dydz =-∈0∫01∫01e-jzdydz =-∈0∫01e-jzdz =-j∈0e-j-1

Q: 2. Find the inverse Laplace transform of the following function: 2s² +5s-6 s³ - 3s² -13s +15 S

A:

Q: Consider the IVP: y" +9y = 40e*; y(0) = 5, y'(0) = -2. Find the general solution. (A) y(x) =…

A: The given differential equation is second order linear, homogeneous differential equations with…

Q: U(x1,x2) = .25ln(x1) + .6ln(x2) marshallian demands: .25Income/P1 & .6Income/P2

A: Solution : Let Income =I U(x1,x2)=0.25lnx1+0.6lnx2 Marshallian demands: 0.25Ip1 , 0.6Ip2 Inverse…

Q: 5.1.7. (-) Construct a graph G that is neither a clique nor an odd cycle but has a vertex ordering…

A:

Q: Which of the following methods can be applied to find a particular solution yp y"+y=cos(e-x)? A…

A: y''+y=cos(e-x)

Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A:

Q: x) = ln(3x 4) - cos x; f'(5)

A:

Q: y" - 3y' + 2y = 2x² + ex + 2xe* + 4e³x

A:

Q: Given f(x)=4x+1 and g(x)= x²+x-3: Use the disk method to determine the volume of solid obtained by…

A:

Q: la² + 2a 2a + 1 1 2a +1 a+2 1 31 3= (a- 1)³ 1

A:

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: We will sketch the region bounded and find boundary curve to use polar co ordinate for volume .

Q: Use at least 6 decimal places of accuracy 1. C sin (z² + 2) dx using n = 6 2. √ √² +6dz √² +6 dz…

A:

Q: ★ Use the Integral Test to evaluate the series for convergence. ∞ 1 In(In(n))2. n=2

A: Solution

Q: Find the moment of inertia: y = x³; x = 1; y = 0 about x = -1.

A:

Q: a) Find the area of R. (b) SET UP a (sum of) definite integral(s) that is equal to the arc length of…

A: "As per the policy we are allowed to answer only 3 subparts at a time, I am providing the same.…

Q: Complete the proof: If A≤B and B≤C, then ACCn(transitive property for set in inclusion) Need to…

A:

Q: c) Using the Euler-Lagrange equation of the Calculus of Variations Optimize (-16y² + 144y + 11yy' −…

A: Given functional is ,                                            I[y(x)]=…

Q: What is the differential equation corresponding to the general solution y²=Cx³? dy 3x A dx 2y dy 2y…

A:

Q: 26. Which of the following ordered pair is a solution to the given inequality? Sy A. (0,0)

A:

Q: Evaluate. [16si 16sin-4x cos³-4x dx

A:

Q: Solve: y""(t)- y" (t) + y' (t)- y(t) = H(t); y(0) = 0; y'(0) = y" (0) = 1; where H(t) (t+3,0 ≤ t <1…

A:

Q: 2. A tank is filled with 20 gallons of brine in which is dissolved 3 lbs of salt. Brine containing 3…

A:

Q: Let A and B be square matrices of same order. Prov nomials of AB and BA are same. Do AB and BA have

A:

Q: a²z Find of z= In(xy) a²y

A: When the partial differentiation is done with respect to a specific variable, then all other…

Q: SHOW COMPLETE SOLUTION (NO SHORTCUTS PLEASE) (Differential Equations) The general solution of y" - y…

A:

Q: Consider P2 (R) together with inner product: Find an orthogonal basis for P2 (R). (p(z),9(2) = Г'р…

A:

Q: Ten ostriches were introduced to the Zoobic Safari Adventure Park 10 years ago. To date, let us say…

A: As per the question we are given a model of ostrich population as : Initial population : N0 = 10…

Q: Numerical Differentiation: ƒ(x) = eª 1. COS X - 2 . Find f(1.5) and step size of h=0.75 and 0.1

A: As per the question we are given a function : f(x) = ex - cos(x) - 2 And we have have to find its…

Q: Find the Fourier Series of the given periodic function. f(0) = {-1, if -n≤t<0 if ost<n if sin3t…

A:

Q: r5 [² (2² 2. √2 (2x² – 3x) dx

A:

Q: b. cos(3n) + 2 sin(3n)

A: Solution :-

Q: Using the method of undetermined coefficients, the modified form of a particular solution for the…

A:

Q: (D³ + 3D² + 3D + 2)y = 0

A:

Q: 9. To solve tek ₁ [theat] = 10. Let cos(√2t)]= you may use: n! (s = a)n+¹ II. [teat] = (-1){(f(t)}

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

Q: 1. A proposition is a declarative statement. 2. Every false proposition is a contradiction. 3. If…

A: A contradiction is a compounded proposition that is always false

Q: Using the Matrix Inversion Algorithm, find E-1, the inverse of the matrix E below. 0 0 0 5 0 0 10 0…

A:

Q: on 3. Let f(x) = |x| Compute f(n) for all

A: Given:  f(x)=x x∈-π,π. To find: a) f(n) for all n∈ℤ.              b) ∑n=1∞12n+14 and  ∑n=1∞1n4

Q: Based on known series, give the first four nonzero terms of the Maclaurin series for this function.…

A:

Q: Determine inverse z-transform of the following equations: Z 2² a. b. (z-2)² (z-1)(z-0.5)

A:

Q: 1) 0.7 Estimate f(x) dx, 0 from the graph of f. Use the Trapezoid Rule. a) 2 b) 2.25 c) O 22.5 d)…

A:

Q: Solve the following systems of linear equations by matrix. 2n+2v-2w+x-y=-2 u+3v+x-y=0 x+y=0…

A:

Q: Problem 3 Determine inverse z-transform of the following equations: Z z² a. b. (z-2)² (z-1)(z-0.5)

A:

Q: (a) Calculate the line integral (4x+2y²)dy where C' is the curve y = 2³, starting from z = 0, y = 0,…

A:

Q: B' B 1. Establish two perspectivities so that a projectivity is established between A, B, C and A',…

A: 1) By using Desargues theorem , we can established projectivity between A,B,C and A' , B' , C'.…

Q: 3. Which is NOT the correct statement of a degree of a vertex? B F A) d(E)=6 B) (B) = 4 OC) d (C)-3…

A:

Q: 3. Find a Taylor series for the function f(x) = ln(x) about x = 0.

A: To find: Taylor's series expansion of lnx about x=0.