- - xy' – 3y = x³; y (1) = 10 3

Q: Consider the ODE x²y" + (e³x - 1)y' + (1+x²) arctan(x) y = 0. What value(s) of p provide non-trivial…

A: Given differential equation The non trivial solution is of the form We have to find the value of

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y =…

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Q: Find the surface area of the surface generated by revolving y = 3x3 about x-axis where 3 ≤ x ≤ 4

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Q: pls answer these four question with solution thank you

A: 1.The expression (-14+j3)^ - 2/5 has 5 roots. (D) 5 2.The correct answer is D.3+j40. 3.The value 4…

Q: We have the following. f(x, y, z) = 5(x² + y²) ZA z=2-x²-y2 E -x²+ y² = 1 (a) Express the triple…

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Q: Let p x²-2x+1, p² = 3 +3x+1 and p³ = 5x + 10. Let q = x³-3x + 4. Is q' in the span of p1, p2 and p³?

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Q: y= -2y1 +3y2, y2 = 4y1 - 2 91 (0) 4, y2 (0) = 3

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Q: (c) Show that the image of the annulus {z: ^ - 1, 1W - 3/31 > 4 3 4 ! T ་་་

A: The answer is explained in belowExplanation:Step 1 Step 2:

Q: K Give the matrix formulation of the linear programming problem. Minimize 7x+5y+3z subject to the…

A: We slove this problem by simplex method.

Q: 5. The revenue and operating cost of a car wash facility are given by R(x) = 13x - 0.7x2 and C(x) =…

A: The revenue and operating cost of a car wash facility are given by and where  represents the…

Q: x) be a natural cubic spline that passes thorugh the points (-1,1), (0,2

A:

Q: Sales of tablet computers at Marika Gonzalez's electronics store in Washington, D.C., over the past…

A: The result by Excel QM is:a) Forecasted values are calculated by: FVi+1=α∗Di+(1−α)∗FViwhere FV is…

Q: Select all that constitute a basis of solutions for the following by the Frobenius method. (x+2)2y"…

A: Find a general solution to the ODE below.This is eligible to use the Frobenius method for linear…

Q: please answer the question below and include breif explination. many thanks

A: cn​=Tjnw0​2​cos(2nw0​T​)+(nw0T​)24j​sin2(nw0​T)​Explanation:

Q: A professional athlete signs a five-year contract in which the earnings can be modeled by c =…

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Q: Solve the following differential equation using both the method of trial functions and the method of…

A: The given differential equation is .The given initial conditions are .

Q: Select all of the following that are critical points of f(x, y) = 8x³ — 24xy + y³ ☐ (0,0) □ (1,0)…

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Q: Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be…

A: We have to calculate the future value of the investment after 100 years with 9% interest compounded…

Q: uestion 2. Prove that P(ANB) = P(A) ^ P(B).

A: To prove P(A ∩ B) = P(A) ∩ P(B), we need to show that this equality holds for both independent and…

Q: A certain kind of a ceramic tile has the form of a 4 × 4 board. Each of the 16 squares is colored…

A: Given:A certain kind of a ceramic tile has the form of a 4 × 4 board. Each of the 16 squares is…

Q: (c) What is the center of the ring of all n X n matrices over a division ring?

A: Let's denote the division ring by D. A division ring is a noncommutative ring in which every nonzero…

Q: 4. A sine function has an amplitude of 3, a period of л, and a vertical translation of 1 unit up. If…

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Q: Question 1 Evaluate the limit below. If the limit does not exists, explain why. (a) lim [In (1-x)-In…

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Q: Let H = span {(16, -21, -14), (-17, 20, 13), (-23, 28, 18)}. }. vector A basis for the subspace HC…

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Q: 3 Find the Fourier series expansion for the function -2< x < 0 0 < x <1, 0 f(x) = = X 2-x 1 < x < 2…

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Q: 3. (Third Isomorphism Theorem) We wish to prove the Third Isomorphism Theorem, which states hat if…

A: The objective of the question is to prove the Third Isomorphism Theorem and perform computations…

Q: Consider the following matrix: 1 2 3 0 1 1 -2 3 5 1 78 Do the columns span all possible 4 × 1…

A: We have to determine whether the columns of the following matrix span all possible 4×1 matrices.

Q: (4) The indicated function yi (r) is a solution of the given differential equation. Use reduction of…

A:

Q: Find the area of the region contained in the ellipse given by (2)² + (2)² = 1 using methods from…

A: Given equation of the ellipse .We have to find the area of the ellipse.

Q: Decide which of the two given functions is linear and find its equation. 110 9 X 0 3 f(x) 0 3 41…

A: X0361015f(x)03416799g(x)-1234779119

Q: Using Fermat's little theorem, find the least residue of modulo 389. (Note that 389 is prime.) Type…

A: By Fermat's little theorem,      If p is a prime, and a is any integer, then          ap  a (mod p)…

Q: Approximate √125 using the Babylonian technique.

A: we have, The first step in the Babylonian technique is to guess the given root value based on the…

Q: Solve the following systems of linear equations using Gauss-Jordan Elimination method. x + y+ z =…

A:

Q: Given the complex numbers find the real and imaginary parts of the complex number: Re ( 2 )= Im (2)=…

A: The objective of this question is to identify the real and imaginary parts of the given complex…

Q: Solve the following Transportation problem using a) North West Corner Cell Method b) Least Cost…

A:

Q: Problem #6: Consider the same system as given in the previous problem: S3xu² + 2y v4 = 5 4xy(u² -…

A: a) The system of the equation is :The aim is to find a) b)

Q: dy x + y +3 Find the general solution of the non-homogenous differential equation: dx 6x+6y+2

A: Ans: 21y-8log(21x+21y+15)=c1where c1 is the integration constant.For details please see the…

Q: 1 1. (3xy + y²) + (x² + xy) 4/2 = 0 {x³y + x² y² = c} dx ― 2

A: Given differential equation

Q: 3) Find the laurent series. a) z² sin ½, 00 expansion b) 플로럴 on 2+32 d) z²+24

A: We have to find out the Laurent series expansion of part a and d

Q: estion 3. Let {An}nen. Prove that if for every nEN, BC An, then BCN An- nEN

A: The argument has been proved.Explanation:

Q: A client deposits 100,000 in a bank, with the bank agreeing to pay 8% effective for two years. The…

A: The objective of this question is to develop an investment program for a bank based on the concept…

Q: E dy x+y+3 ind the general solution of the non-homogenous differential equation: dx 4x+4y+4

A:

Q: 1. Find a matrix A such that the linear system d/dt( x(t)) = −7x+2y d/dt (y(t))= −1x−8y is given by…

A: dtd​(x(t)y(t)​)=A(x(t)y(t)​)dtd​(x(t)y(t)​)=A(x(t)y(t)​)Explanation:1. To find matrix  A , we…

Q: Find the determinant of the following matrix. 2-63 105 -24 4 ENTER THE FINAL ANSWER ONLY NO WORKINGS…

A: Determinant  = 56Explanation:

Q: Tell me why this integral ∫ e^(ix) dx is mind blowing?

A: The integral  is fascinating because it connects complex numbers, exponential functions, and…

Q: QUESTION 5 Let I be the union and S the intersection of the indexed family of sets {A}, where A are…

A: Option 3 is correct, T=[-1, 3), S=[0, 2] Explanation:Let us look for the…

Q: Maximize Subject to Maximum is X = y = z = 5x + 2y 2x + 5y ≤ 40 6x + 4y 54 > 0 > 0 X Y at

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Q: A town want to replace an existing bridge that cost $5000 annually in an operation and maintenance…

A: Certainly! Let's calculate the single payment present worth of the existing bridge's operation and…

Q: Parent function is given in RED. In the transformed function (BLUE) point A(4, 2) was transformed…

A: We have to find the transformed function in the form

Q: dy Find the general solution of the non-homogenous differential equation: dx x+y+4 4x+4y+2

A: