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Q: 3. Use Laplace transform to solve the IVP y" + 9y = e', y(0) = 0, y'(0) = 0. %3D %3D

A: Laplace transferom, solve the intial value problem

Q: Solve using the method of undetermined coefficients y'''+8y= 2x - 5 + 8e^-2x ; y(0) =-5 , y'(0)=3 ,…

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Q: d Jcose d cose 'cos(r sin 0)]= [e* Telcom sin(tsin 0)]. (i) Show that t. %3D dt

A: (b) (i) show that t·ddtet cosθ cost sinθ=ddθet cosθ sint sinθ consider left hand side  t·ddtet cosθ…

Q: (3b) Let n E Z. Prove that if 3|(2n² + 1), then 3 ł n

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Q: Which option is equal to the DOT product uV of vectors 3 u = 1 4 -4 26 24 N N

A: The given vectors are: u=314 and v=22-4 Multiply the numbers component wise to find the dot product…

Q: December 20 356 7:23am Using the equation y = 1.38sin((x – 80)) + 18. 22 to rep function, explain in…

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Q: 1-Determine if W is a subspace of Mnn CEMn, W = {A€Mn: CA°C1 = A}

A: W is a subspace of V if:  u,v∈W ⇒ u+v∈W au∈W, a  is a scalar Now, we have W=A∈Mnn : CAtC-1=A Let…

Q: A It is 2 P.M. and Phong is driving 45 miles per hour to get to his sister's college graduation. The…

A:

Q: (3.3) Find the fixed points of the following dynamical system: -+v +v, ý = 0+v +1, and examine their…

A:

Q: 37) Website popularity ratings are often determined using models that incorporate the number of…

A: Given , P(x) = log(x-4)Where P(x) is the website's popularity rating.and x is the number of visits…

Q: Find the radius of convergence of Power Series fca) = E n'agn. z"

A: The given problem is to find the radius of convergence of the given complex power series. We can use…

Q: Q–3:| a) Find all m > 1 such that 27 = 9 (mod m). [1 о 1] b) If A = |0 1 1 is a zero-one matrix,…

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Q: Which of the following transformations are linear? Select all of the linear transformations. There…

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Q: Exercise 1: Consider the nonhomogeneous differential equation: y(o) y- 9y(4) = x³ + 2e¬3x (E)

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Q: 17 Let A = -30 -8 Find a matrix S, a diagonal matrix D and S- such that A = SDs- -1/2 -1/3 S = D = 1…

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Q: e =5= is Cupve?

A: Algebraic curves are the curves considered in algebraic geometry. A plane algebraic curve is the set…

Q: 1. Solve the system 3x + 5y+z = 1 7x-2y+4z = 2 -6x +3y + 2z = 5

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

Q: 6. Sometimes an isoparametric map is used for tringle elements. In that case, the reference element…

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Q: 1) If P(x1, Y) and R(x2 y,) lie on the same vertical line, what is the distance between these two…

A: As per our company guidelines we are supposed to answer only the first three questions. Kindly…

Q: For each of these relations on the set {1,2,3,4}, decide whether it is reflexive, symmetric,…

A: We have to check whether given relation is reflexive, symmetric, antisymmetric or transitive.

Q: how did it come up with a=1 and b=2?

A: As per the question, the solution in the second quadrant is first expressed as  -a,b

Q: A company sells two sizes of microwave ovens: The small size and the large size. The demand…

A: 1st we have to find the demand function then put the value of X and  Y and fillup the box.

Q: - In the matrix equation MAT = H, M and T are square r the size of matrix A? (a) 3-by-2 (b) 3-by-3…

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

Q: *) = (" * ')-(,",) Show that : r |

A: To show the below relation. nr=n+1r−nr−1

Q: Problem 3: Imagine you have the function f(x) =x° ( (1-: where p and q are %3D integers. Where…

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Q: Problem 6. Consider the plane, X, in R3 given by the vector equation: x(s, t) = (1, –1,2) + s(1,0,…

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Q: Prove that the function f : R? → R, f(x, y) = sin(/x² +|sin y|) is uniformly continuous on R?.

A: Solution:-

Q: 2 11 -10 -9 -8 -7 -6 -5 /-4 -3 -2 -1 2 3 4 5/6 7 8 9 -2 The curve above is the graph of a sinusoidal…

A: Find the sinusoidal equation of the given graph. The general equation for the sinusoidal function is…

Q: Q2. Let a card be selected at random from an ordinary deck of 52 cards. Let A = [ the card is a…

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Q: 2. [2 35 - 2] let A = [2 3 5 - 2 ] ans.A l- 2 – 3 - 5 2]

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Q: d'u =16- for all 0sxs10 and t20

A: Solution

Q: 1. Find the area bounded by the curves y = 3x'+1 x=0 y= 3x+1 x-1 А. 3/2 5 В. 3/4 2 С. 1/4 -2 -1/0 21…

A: y = 3x3+1 , y = 3x + 1

Q: A rack climber starts at an e ation 630 feet abowe sea level and descends to a point 180 feet lower…

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Q: Prove if f is a nonnegative measurable function, then there exists an increasing sequence (ϕn) of…

A: The given question is related with measure theory. Suppose that f is a non-negative measurable…

Q: Ql: Find out whether each of the following functions is a solution of the ODE. (choose 1) p(x) - 5p"…

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Q: Question five Find solution using Two-Phase method. Maximize Z = 3X1 + 2X2 + 2X3 subject to the…

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Q: Q/Determine the Fourier series of the periodic function whose definitions in one period is? %3|

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Q: Approximate the function f(x) = sec(x) by a Taylor polynomial of degree 2 centered at a = Then use…

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Q: what is the solution

A: The series diverges.

Q: Let В %3 (х, у, z) be a basis for vector space V, and let S = {x, y + z, –x} What is the dimension…

A: To find: the dimension of Span(S). where S={x,y+z,-x}. and B={x,y,z} is a basis for a vector space…

Q: xx                                    −2−2                                       11…

A:

Q: (a) The nth term of a sequence is 6-2n Work out the first three terms of the sequence. (b) Here is…

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Q: An IV drip was ordered for a patient. At the start the bag contains 1,134 mL, after 2 hours, the bag…

A: At the start the IV bag contains 1134  ml. After 2 hours, the IV bag contains 950 ml. Find how many…

Q: Find the first four nonzero terms of the Taylor series about 0 for the function f(z) = z sin(5z).…

A: To find the first four nonzero terms of the Taylor series about 0 for the below function. fx=x5sin5x

Q: There is at most one polynomial of degree less than or equal to n which interpolates f(x) at (n+1)…

A: By using interpolation theory, we need to check which of the given options are true.

Q: 1.) Find the area of the parallelogram with vectors as adjacent sides. и %3D (-2,9, —3) аnd v %3D…

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Q: 1. Evaluate the line integrals x + Y ds and

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

Q: xy dx + 2(x2 + 2y2) dy = 0; x = 0, y = 1. %3D

A: It is given that xydx+2x2+2y2dy=0. We can write the differential equation as shown below:…

Q: Exercises Use the trapezoidal rule of integration to determine the value of the following integrals…

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Q: Choose from the following each TRUE statement. OA. The Taylor series representation for flx) = e3x…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…