2. y'"-y' = 0; when x = 0, y = 1, y'= -2, y" = 2

Q: Step1 a) The MATLAB program is given below: Step2 b) Z= [1 2 3; 6 7 8; 0 1 5]; disp(Z); disp('---…

A: Remark:  The function "sin" takes inputs as radians not as angle.

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Q: 6) Respond to each of the following. a) Find 1010112 + 110112 b) Write 1001010₂ in decimal form. c)…

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Q: 1. f(z) = z³ − 1 + 3i Z 2z + 3 3. f(z) = 5. f(z) = = sin z (z² − 25) (z² + 9) 7. f(z) = tan z

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Q: Find the tangent plane to the equation z = z = 3x² + y² + 4y at the point (1, 0, 3)

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Q: C. All about that Basis For each of the following sets of vectors S in a vector space V: (i)…

A: According to our guidelines we can do at most one question at a time. Please post remaining question…

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Q: If f is the Fourier series of g(x)= √3, [16-², -4 < x < 0 then 0≤ < 4 f(2)=¯ + 2 [(0) cos (1 x) + (…

A: Given:  gx=3,   -4&lt;x&lt;016-x2,   0≤x&lt;4To do:  Find Fourier series of g(x) and call it f(x).…

Q: 1. Consider A function f(x) = x³ - 7x² + 4x + 12. Construct two different fixed point functions g(x)…

A: Given Data: The given function is fx=x3-7x2+4x+12. The initial guess is x0=2.26 . To find: (d) To…

Q: Find the flux of the vector field F across the surface S in the indicated direction. 2 F = 3x²j-z²k;…

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Q: Let an+1 = (1+an)/3 and a1 = 0.  a. Prove that an is increasing and bounded above by 3.  b.…

A: Given that an+1=(1+an)/3 and a1=0 We have to prove that an is increasing and bounded above by 3

Q: The Fourier sine series of the function is given by where f(x) = = (3x if 0<x< 3/3 3 if 3/3 ≤z <3 a…

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Q: 0.1 Soe O exida x³dx Series rep A ex = 2 8/3 n!

A: The given problem is to evaluate the integral of ex^3 from 0 to 0.1 by using the first 5 terms of…

Q: dy dx = 9x + 2y 9x + 2y + 2 y(-1) = -1

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Q: = u(x) = x cosh x -√² - tu(t)dt

A: As per the question we are given a Volterra integral equation and we have to find its solution u(x)…

Q: Q1D. Consider the following graph: a C f d e How many vertices are there in the graph? How many…

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Q: The linear tranformation L defined by maps P₁ into P. (a) Find the matrix representation of L with…

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Q: (iii) =Tb-kt dn ds

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Q: A nuclear cooling tower • The tower is 320 feet high The base measures 268 feet across The top…

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

Q: Describe with words and/or pictures the graph of:                      a. z2 + y =2…

A: A.  We can rewrite the equation such that it is able to plot the graph;…

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Q: Q2D. Consider the graph with the following vertices and edges: V = {a, b, c, d, e, f} E = {[a, b},…

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Q: For the following function, find the Taylor series centered at x = 8 and give the first 5 nonzero…

A: The given problem is to find the Taylor series of the given function centered at x=8 and first five…

Q: Find a piecewise smooth parametrization of the path C (the edges of the triangle in space with…

A: we will use line integral for function F along the curve r(t)  ∫CF.dr = ∫ab F(r(t)) r'(t) dr

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Q: (a) Choose a series C lim = lim -100 bm 11-00 b with terms of the form b₁ = 1. 1 and apply the limit…

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Q: The function f(x) = ln(1-x2) is represented as a power series f(x) = ao cnxn. Find the FOLLOWING…

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Q: 22. A couple inherits $89,000. How much can this generate at the beginning of each month over the…

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Q: The ellipsoid and sphere 2x2 +52 +22-22808/441 2² + y² + 2² +32+2y-5z+2798/441 = 0 are tangent to…

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Q: The Fourier cosine series of the function is given by f(x) = - 2x if 0<x< π/2 π 0 if π/2<x<« f(x) ~…

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Q: Which angle is an x-intercept for the function y = cos(x)? Ο Α. Ο OB. 플 O C. 7T OD. 2T

A: REMEMBER THAT-: THE X-INTERCEPT OF AN FUNCTION CAN BE CALCULATED BY EQUATING THE GIVEN FUNCTION TO…

Q: e Lay xy¹ ds where C' is the right half of the circle x² + y² = 9 Evaluate

A: We find required integral by parametrizing x and y .

Q: 5) Which of the following is a method for controlling for effect modification/interaction in the…

A: We have to find the method for controlling for effect modification/interaction in the analysis phase…

Q: Solve the initial value problem below using the method of Laplace transforms. y" + 8y' +12y=90e³t,…

A: Solution given below.

Q: (x²+4)y + 3xy: = Use trigonometric substitution for the indefinite integral of the integrating…

A: As per our company guideline we are supposed to answer only first qs, kindly post remaining qs in…

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Q: Use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the convolution integral…

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Q: If f : X → Y and g: Y→ Z are functions such that g of is onto, then g is onto.

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Q: is that The necessary and sufficient condition that a curve is a plane curv N T T

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Q: use the successive approximations method to Solve the following volterra integral equations:…

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Q: Let N be a relation on R where xNy if and only if xy < 0. Is N reflexive? Is N symmetric? Is N…

A: Soln: N is said to be reflexive if xNx for all x in R. N is said to be symmetric if xNy imply yNx N…

Q: Let the transformation of P2 -> P1 be defined as T(p(t)) = p'(t). The basis B = {1,t,t^2} and S =…

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Q: u(c) = − +2sinh + 1.² ( (x - t)u(t)dt

A: Given: The Volterra Integral Equation is given by:                          ux=-x+ 2 sinhx+∫0xx-t ut…

Q: ind the eigenvalues of A, given that A= nd its eigenvectors are he eigenvalues are 7 -4 8 -1 8-58 -1…

A: We use definition of eigenvalue and eigenvector of a matrix to find required eigenvalues.