solve only   2 and 3

Q: Find a fundamental matrix of the following system, and then apply x(t)=(t)(0) 1x to find a solution…

A: Introduction: In linear algebra, eigenvalues are related to eigenvectors. In the analysis of linear…

Q: GIVEN: [7 A = 2 340 -71 - 3 1 -1 4 6 010-3 -3 -5

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

Q: Does the series converge or diverge? If it converges, what is the sum? Show your work. Σ1-4…

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Q: Q1/ Solve the initial value problem (IVP) of the differential equation by using the appropriate…

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Q: EX. 29 Give the Cayley table for the group Z2 under multiplication modulo 12.

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Q: 9. Suppose f(x)=x²-14x+49 and g(x)=x-7 . At which of these points does the function y=f(x) g(x) have…

A: The hole in the graph of the function: y=f(x) is the value of x for which the function is not…

Q: The matrix -| has a singular value decomposition A = UΣVT where U = and What is (Σ)11? Answer: हाज…

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Q: Determine the line integral of the differential form (x + 3y²)dx − (−6xy + z)dy from points (1,0,3)…

A: Find the line integral x+3y2 dx --6xy+z dy from points 1, 0, 3 to 0, -1, -1.

Q: Obtain the general solution to the equation. dy y + 2x + 1 dx X The general solution is y(x)=,…

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Q: 15. the estimated mass of the atmosphere, 9.8 x 10^15 tons, to kilograms (1 ton = 2000 lbs)

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Q: Problem 3.2: Let the p.d.f. of the continuous random variable X be the expression below. Compute:…

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Q: Use the Laplace transform to solve the given initial-value problem. y"+y= √2 sin(√2t), y(0) 13,…

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Q: Find the radius of a cylindrical can (with a lid) to contain 2744 cm³ of water, using the minimum…

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Q: Find the general solutions of the system. 3 -8 0 -4 0 3 0 0 x'= 12 -24 -1 -12 0 -8 0 -1 x(t) =

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Q: nd the vector equation of a line that passes through the point (-2,1,0) and is parallel to the plane…

A: Follow the steps.

Q: Use the fourth-order Runge-Kutta subroutine to approximate the solution (x) of the initial value…

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Q: Solve. The same way to ask the solution Find the general solutions of the system. 400 x' = -595 x…

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Q: iven the function f(z) = z + 2z then identify the domain of the definitio )

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Q: Advanced Math Question

A: Given that, 1 mm rainfall is required t cover a flat surface to a depth of 1 mm . Therefore, 1 mm…

Q: find the Linear trans fromation Tee whose matrix Wzxz i -1 Hi- + =1421] -2 with regard to the base H…

A: Question had typo. Hence solved after correction

Q: 4. (a) (i) Calculate (4 + 6i)². (ii) Hence, and without using a calculator, determine all solutions…

A: Given a(i) 4+6i2 a(ii) z2+6iz-4-12i=0 (b) z¯2+2z+3=0

Q: 12. the greatest depth of the ocean, about 9.6 mi, to kilometers

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Q: A rock contains two radioactive isotopes, R. series; that is, RA, decays into RA2, which the at…

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Q: 16: Shown below are two steps of the process to convert a matrix into Echelon form. 3 5 -2 1 니 7 ㅣ니…

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Q: If ?=10cos^(3)? and ?=10sin^(3)?, find the total length of the curve swept out by the point (?,?) as…

A: Given x=10cos3ty=10sin3t

Q: 7. Calculate the APR for an 8% per annum nominal rate of interest compounded continu- ously.

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Q: The matrix has a singular value decomposition A = UEVT where and and The 3,2 entry of Vis (V)32 =…

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Q: Finite Mathematics What is the effective interest rate of 8.1% interest compounded monthly? Show…

A: Effective interest rate i=1+rMM-1 where  r = APR M= number of compounding periods in a year

Q: Q1: Find the general solution to the following differential equation: y" - 2y' + y = x² - 1

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Q: 4. Prove that a permutation matrix is orthogonal.

A: Permutation matrix: Each column of a permutation matrix has only entry equal to 1 and all other…

Q: If the interval of convergence of the power series ∞ (-1)(x-c)" is (k, 55] for some k, then find 19…

A: Given,         ∑n=2∞(-1)n(x-c)n19nlnn and interval of convergence is (k, 55].

Q: 'SS= F. ds for the given vector field F and the oriented surface S. In other words, find the…

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Q: The coefficient matrix A below is the sum of a nilpotent matrix and a multiple of the identity…

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Q: Find the general solutions of the system. - 4 1 #1 - 1 X 0 1 x(t) 1

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Q: Consider a hypothetical cell phone company whose manufacturing costs x number of cell phones is C =…

A: gain function is defined as G=R-C where R=-0.09x2+7000x and C=2000x+750,000 now,…

Q: 3. Let (G, *) be a group of order p, q, where p, q are primes and p < q. Prove that (a). G has only…

A: The given question is related with abstract algebra. Given that G, * is a group of order pq, where…

Q: For the following graph of a function, estimate the area under the curve on the interval [-2, 6]…

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Q: a. Compute the expected frequencies under the null hypothesis that there is no relationship…

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Q: Ex. 29 Give the Cayley table for the group Z₁2 under multiplication modulo 12.

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Q: Find the General Solution of (D² + 5DD' +6D2)Z = 10 cos(x - y)

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Q: The manufacturer of a propeller for a small aircraft rotates at 3600 rpm. The tips are located 8m…

A: In the following diagram, it can be written that l=rθ.      Here, θ is the angle subtended by the…

Q: Determine whether the given differential equation is separable. -5 tan (x - y) = 0 dx Is the…

A: Separable Equation :                                                                      An…

Q: 7.22 (a) Prove that if {S,(x)} converges uniformly to S(x) on I then {S,(x)} converges point- wise…

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Q: If lim an 72-00 lim a2n+1 = L, then lim a₁ = L 11-00 11-00

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Q: 4. (a) (i) Calculate (4 + 6)². (ii) Hence, and without using a calculator, determine all solutions…

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Q: Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule. Estim the…

A: Estimate the given integral ∫132x-1 dx using Trapezoidal rule and Simpson's rule with n=4. Find the…

Q: Solve y’’ – 4y' + 85y = 0, y(0) = 2, y'(0) = y(t) = - 41

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Q: Consider the infinite series int n=1 If we use the sequence of partial sums S, to estimate value of…

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Q: Data Management - Statisitcal Analysis Describe each graph seperately. Explain the type of graph…

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Q: . 3. Given the functions f(x)=3* and g(x)=cos x (a) Determine the domain and range of y=f(g(x)) (b)…

A: Here given that the functions are                                 f(x)=3x and g(x)=cosx We have to…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.