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Q: Find the solution. (D²-2D-3)y = 0 A y = c,e" +c,e * B y = c,e © y = ce D y =

A: D2+2D-3y=0 Auxillary Equation m2+2m-3=0 ⇒(m+3)(m-1)=0 ⇒m=-3,1

Q: 11. Find a basis of the following subspace of R4. W = all vectors of the form (a, b, c, d) where a +…

A: To find: Basis of W={(a,b,c,d) | a+b-c+d=0}.

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A:

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A:

Q: Se-2t if 0 3,

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Q: 1. Use a parametrization to express the area of the given surface as a double integral and then…

A:

Q: 2. Given f(r, y) = 2r-3y2 +6xy - 12r. (i) Find critical points of f. (ii) Use the second derivative…

A:

Q: Find the solution. dy sin x x-+2y +2y = y (2) = 1 dx (A) y = (4 + sin 2 + cosx?) /x2 B в су %3D (3 —…

A: Linear differential equation with intial condition.

Q: 2/3x1 - 1/4x2 + 5/8x3 = 0   1/5x1 + 2/3x2 - 1/4x3 = -7   -3/5x1 + 4/3x2 - 7/8x3 = -5

A: To solve the above system of equations we will write the given system in Matrix form then we will…

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A:

Q: Which of the following matrices is not in row-echelon form? 10 2 4 0 1 1 5 0 0 0 1 A 10 2 4* 0 0 1 5…

A:

Q: Use the Venn diagram to determine n(U) - n(B). A В three four seven 16 06 n(U) - n(B) =

A:

Q: c. Solve the system of equations using Gaussian Elimination. x-4y +3z = 1 2x-6y +6z = 4 3x +2y - 2z…

A:

Q: Find the Solution (2x+3)y' =y+ (2x+ 3) 1/2; when x = - 1, y =0 2y = (2x+ 3) 1/2 In (2r + 3) 2x = (2y…

A:

Q: How can you relate antiderivatives as an opposite of derivatives in your life?

A: Solution:   Antiderivatives are the inverse operations of derivatives or the backward operation…

Q: 6. Tell whether the series whose nth term is given below converges absolutely, condition- ally, or…

A: Please post the multiple parts separately. Here I answered 1st question as per our policy.

Q: The Enormous State University History Department offers three courses-Ancient, Medieval, and Modern…

A: Given, Number of sections= 18Number of students= 2000Number of professors= 24To find: Number of…

Q: Find the general solution of the following differential equations. 1.   (5x4y + 4x3y3) dx + (3x5…

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Q: rm of the wayeform

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Q: 7. In the differential equation 4(3x+ y-2)dx-(3x+y)dy=0, we let the substitution dw =- (Note: We use…

A:

Q: 12 4arctan () dx

A: This is a problem of Numerical Analysis.

Q: 6. PROVE: Let f be defined on an interval I. Suppose that there exists M > 0 and a > 0 such that…

A: Uniform continuity means delta only will depend on epsilon and not on the point chosen. Using this…

Q: х — 3 2. Graph the function f(x) = Identify asymptotes and holes in the х2 — 4х + 3 graph. Answer:…

A:

Q: 2s +3 Find the Inverse Laplace Transform of F (s) s²+4s+ 13 A f (t) = 2sin3t – -cos3t 3 B f (t) = e'…

A: Use Laplace table.

Q: Consider the following matrix: 4 12 A = -8 3 12 -4 2 The following vectors are linearly independent…

A:

Q: a) Solve the linear system below using Gauss Elimination and determine whether the solution is…

A: The solution is given as

Q: Consider the following bags each containing three marbles with colors white (W), black (K), yellow…

A: Study the table and look for the bag that contains exactly 1 Y.

Q: the differential equation, and determine their stability. State what happens over time to solutions…

A: Given the slope field of an autonomous differential equation. The equation will of the type dydt=fy.…

Q: · Let r(t) = (x(t), y(t), z(t)) be twice differentiable and let u(t) = r(t) · [r'(t) × p"(t)]. Show…

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Q: Breathing is cyclic, and a full respiratory cycle from the beginning of inhalation to the end of…

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Q: Use a Venn diagram to determine if the pair of sets are equal. S. S'nT and (SUT')' II III IV

A: Since you have posted a multiple  question according to guildlines I will solve first   question…

Q: TRUE OR FALSE? A. Let A and B be n x n matrices. If AB = [0], then BA = [0]? B. If A and B are n x…

A:

Q: Using Bisection method find the solution of h (x): = xcos2x +1 = (x - 2)2. Use as initial values and…

A: given method hx=xcos2x+1=x-22 use as initial values π2 and 5π6. stop iteration if the error is less…

Q: Solve the system of equations using Gaussian Elimination. x-4y +3z = 1 2x -6y +6z = 4 3x +2y - 2z =…

A: Given system of equations:x-4y+3z=12x-6y+6=43x+2y-2z=-5To Find: value of x, y and z by using Gauss…

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A: To solve this problem first we find the amount of Graham crackers that to be needed to make 1 s'…

Q: Question 1 Consider the following IVP: y"-2y'= -4; y(0) = 0, y'(0) = 4 Find the general solution. A…

A:

Q: The Taylor polynomial of degree 100 for the function fabout x = 3 is given by P (x) = (x – 3)? –…

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Q: Let fcx)=X,XE [ar} Shaw that fe Riemann Loll and find Sede

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Q: [2 1 ° b) Find the inverse of the matrix L = |3 4 1 with the determinant of the matrix L = -2. L3 2…

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

Q: Define f:R → R by ƒ (x) = 5x if x is rational and f (x) = x² + 6 if x is irrational. Prove that f is…

A: Given :  f:ℝ→ℝ  defined by ;         f(x) = 5x,if x is rational.x2+6if x is irrational To prove :…

Q: Find the solution. (у -х + ху сotx) dx + x dy %3D 0 A xy sinx = c + sinx - xcosx xy tanx = ccosy…

A:

Q: let ( X Td)be Toplog9 me trics spaces the n EVery singteon set is closed set

A: Given that X,Td is a Topology Metric spaces.

Q: dy 1. The linear differential equation dx has the integrating factor equal to (Note: Simplify or…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: exercise Find the laplace of each f(t) F{t)=2{ ´1 0 3 t 3.

A:

Q: Which of the following operations on a matrix may not be an elementary operation row ...

A: Which of the following is not a elementary row operation on a matrix.

Q: Let A (1,0, 2) and B= (6,-2, 3). Solve for proj,B.

A: Given vectors are A = 1, 0, 2 and  B = 6, -2, 3

Q: In the Secant Method of numerically finding a root of a function, the algorithm for iteration is: Xn…

A: Given :  The algorithm for iteration is given as ;                 xn+1 = xn -…

Q: 4. Let f(x) = x, Vx E [0, b]. Show that f is integrable and that 62 f(x) dx : Answer:

A: Given function is  fx=x, ∀ x∈0,b

Q: d [dy dx [dx. What is the general solution to the differential equation бх + 3 ? y = 2x3 – 2x2 + Ax…

A: Solve by integrating.