y" + y = sec x tan x

Q: 2 Consider the vector-valued function R(t) with R'(t) = (sec²(t − 1), (a) Find R(t) given R(1) = (1,…

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Q: 17 The Joint pro. density functione 19 of two discrete discrete variable X and Y is given by P(X,Y)=…

A: Marginal probability of X and Y is given by PX=x=∑ yPx,yPY=y=∑ xPx,y

Q: Given the following 2√2 h3(n): (²1³) " (n)u(m) 3 2.1 Determine the system function H(z). Simplify…

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Q: 1. If f(x) = 5x4 - 6x² + 4x2 find f'(x) and f'(2).

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Q: Prove that for any integer k, at least one of k, k + 2, or k + 4 is divisible by 3. (Hint: consider…

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Q: @ Suppose that f(n) = corn, g(n)= e. Using numerical affronimation find I (0-8), 9²(0) for the…

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Q: What is multicollinearity? Why is multicollinearity problematic?

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Q: Proposition Let (X, TX), (Y, Ty) be top. spaces Let be a bijective wap then the following statements…

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Q: 1. Use sigma notation to write the right Riemann sum for f(x) = 2x³-7 on [-4,3] with n = 60. Then…

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Q: Q: Define the concept of the ring. Is (Z, +.) a ring? What's about (Z, +₂.)?

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Q: Verify that the given functions are linearly independent by evaluating the Wronskian at a = 0. {e2,…

A: Solution

Q: ABCD is a square and E is the intersection point of the diagonals. If N is any point on AE, show…

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Q: Show that the fractional parts of a given sequence {annz1 is uniformly distributed if and only if 1…

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Q: c) Find the curve length of the lemniscate of the area Inside the lemniscate r² = 6 cos 20 and…

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Q: I. Evaluate each of the following iterated integrals. 1. Jo” Jovix dxdy R/2 (siny Inx 2. ²x…

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Q: >= Find Fourier cosine transform of f(x) = 1 -1 0<x< 1/1/0 <x<n

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Q: 0 Q4)(a) Find the maximum eigen value for the system A = x (0)=(0.02991) with initial vector

A: Let us find the maximum  eigenvalue of A using Power Method.

Q: Q3: (A) Prove that 1. There is no simple group of order 200. 2. Every group of index 2 is normal.…

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Q: Problem 10 (a) State the definition of the Laplace transform of a function f(t), t≥ 0. (b) Explain…

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Q: 1. Find a basis for the subspace of R4 spanned by the vectors (1,1,-4,-3), (2,0,2,-2), (2, -2,3,2)

A: Solution:-

Q: Mathematics of Apportoinment A small country consists of five states, whose populations are listed…

A: Given that the population of five states and total legislature seats in the following table…

Q: Provide the equation of a sphere of radius 5, centered at the origin, in: 1. rectangular coordinates…

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Q: 3. The value of a car is $400 000 now. Its value depreciates at a constant rate of 10% per year.…

A: Given:   The value of a car is $400 000 now. Its value depreciates at a constant rate of 10% per…

Q: In a recent small survey of airline passengers, 27 said they had flown American in the last year, 23…

A: We will use  Addition theorem for  3 set

Q: Use Laplace transform to solve the partial differential equation: dy dy +xt where y(x,0)= 0,…

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Q: Given P(A^c-complement)=0.40, P(B) =0.40, P(AUB)=0.75, P(A)= 0.60, P(B^c)=0.75 Find P((AnB)^c)

A: Additional Law of Probability gives P( A ∪ B ) =P(A) + P(B) - P(A∩B)

Q: -1 BBBB 7 -1 ind the coordinate vector of x = -5 with respect to the basis B = 0 for R³.

A: Solution

Q: Suppose f: A→ B and g: B→ C are functions, show that a) If both f and g are one-to-one, then go f is…

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Q: If z₁ = 13-101 and 22-15 +91, determine the following: 42₁-522 (Polar Form) COMPLETE THE MISSING THE…

A: We have z1=13-10i , z2=-15+9i Consider: 4z1-5z2=413-10i-5-15+9i=52-40i+75-45i=127-85i Hence,…

Q: calculate the volume of G where G is bounded by 2= x² + y²₁ ²²+ y² = 4, 200 SS f d v

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Q: If u = f(y + ax) + (y-ax), then to №² u №² u (a) a² (b) dy² 2 Əy² 2 (c) - a². (d) a №²u น 2 Əy² №² u…

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Q: The lifetime in hours of a transistor is a random variable having probability function given by…

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Q: Use separation of variables method to solve the partial differential equation: du d²u du(x,0) = +u…

A: Given Partial differential equation (PDE) ∂u∂y=∂2u∂x2+u Given, Initial conditions u0,y=0 and…

Q: C be the matrix defined as a₁ an C = a-1 9₂ az az a a₂ a, a az a4 1 A an an-l an-2 a₁

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Q: 6. For any n x n matrix A over C, there exists a positive semi- definite matrix H and a unitary…

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Q: S 5 1 1

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Q: Find the Laplace transform of t², -8+ 3t, g(t) = - (t-6)² + 2 cos (1-²), 6 0 2

A: Let us find the laplace transform of the given function g(t) as follows:

Q: The values of mass m, spring constant k, dashpot resistance c, and force f(t) are given for a…

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Q: Use Laplace transform to solve the partial differential equation: dy dy +xt where y(x,0)= 0,…

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Q: A homeowner wants to install a new marble countertop on their kitchen island. They take measurements…

A: The cuboidal island has the dimension l=2 ft, w=3.5 ft, h=4 ft.

Q: Assignment (ABET) A mass weighing 5 lbs. stretches a spring 6 in. If the mass is pushed downward,…

A: Solution :-

Q: Find what value of c does f&dx = 1? с Answer:

A: Solution

Q: = 13² 1² for Consider the ordered bases B=( a and C= a. Find the transition matrix from C to B. TB =…

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Q: Let H be a hermitian matrix, i.e. H = H*. Now U := eiH is a unitary matrix. Let H = († 8). aER, beC…

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Q: Transformers for underground works were planned to be provided. Type A has an initial cost of…

A: Solution:-

Q: Using a decomposition model, we find the following relationship for trend and quarterly seasonality…

A: Answer : The forecasted demand for the second quarter of the fifth year is 49.32. 1. t = 2 for…

Q: Normal subgroup 2. Endomorphism of group 3. Field 4. permutation.

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Q: pansion of (x + 3) ¹7+ x³(x+ 17 3

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Q: الموضوع : theorem: Let fix_y applied between two topological spaces (X,Tx) and (Y, Tj), then the…

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Q: b) Consider the differential equation Find the following. (x + 1) y" + (2x + 1) y' - 2y = 0. (1)…

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