3 Using The humayenous Methal $ solue the DE : x Clay-lax) dy =y(ialony - lu x)dx

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Q: Consider the matrix -() 2 0 5 0 0 2 5 A = Find the eigenvalues and eigenvectors of A

A: Ans.   Given matrix      A=520250002 we know that Eigen values are roots of equation     A-λI=0 So,…

Q: True or false. Consider a binomial distribution with 16 trials. Look at a table showing binomial…

A: It is given that the number of trails is 16.

Q: Solve for k. 8(10 – k) = 2k

A: Given,810-k=2kk=?

Q: 5. Suppose an > 0, bn > 1 and lim an = 0, lim bn = 1. %3D Define An = {x : an <x < bn}. %3D Find lim…

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Q: Let G be a d regular graph (i.e., all vertices have d neighbors). (a) What are the eigenvalues of…

A: Given:-Gn be a  d regular grapgh(a) If G is d.regular graph then the laplacian is given by…

Q: (a). u(x, y) = e- sin y, (b). v(x, y) : = cos x cosh y, %3D

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Q: Q4:A. Find the Laplace transform of (1) f(t) = cos?t (2) f(t) = te-3t cos2t

A: If f(t) is a function of t for all positive values of t, then the Laplace transform of f(t) is given…

Q: The solution of xy' – y = 2x°, y(1) = 4 %3D (A) y = x³ + 2x (B) y = x² + 4x (C) y = x² + 3x (D) y =…

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Q: Let A = {x € R : x < a} and B={x €R: x < b}, where a and b are real numbers. Show that sup(A+ B) =…

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Q: To illustrate calculations with the unit impulse function, consider evaluation of the following…

A: As per our company guidelines, we can solve first question for you. If you want other questions to…

Q: For the following probability distribution 3 4 P(x) 2/5 1/5 2/5 The population variance is . O 0.7 O…

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Q: 21. Suppose A is a field and suppose also that A closed under countable disjoint unions. Show A

A: This is a question of measure theory.

Q: b. If A = 3 x and A = AT, then: x=0, y=0 None of them. O x=y O x+y=0

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Q: Having f (x) = 1 +e¬* sin(4x) and the interval [0,1] Apply composite Trapezoidal and Simpson's rules…

A: I have done by the direct method and trapezoidal rule and find the error by trapezoidal rule

Q: Consider the system shown in Figure 4-50 We wish to design a digital controller such 3. that the…

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Q: Solve y(n+2)+2y(n+1)+y(n) = n where y(1)=y(0)=0

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Q: Q) Find the power series solution of (1+2x*),"+6.xy'+ 2y=0 around x, = 0

A: Power Series Solution about an Ordinary Point: Let the given differential equation be then the…

Q: Determine the Laplace transforms of the follow- ing functions: 1. (a) 2re2 (b) re (a) (s- 2)2 2. (b)…

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Q: The PDE ugy + sin(y) u, = cos(y) Can be reduced to a first order linear equation as: A) uz + cos(x)…

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Q: a. Show that f has a removable discontinuity at x = 3. f(x) = x²7x+12 x + 2 x = 3

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Q: A carnival ferris wheel with a radius of 14 meters makes one complete revolution every 16 seconds.…

A: Solution:

Q: For the following simple linear regression equation y = 2Bo + B1VX find the estimated parameters…

A: The regression is a method of machine learning under subgroup Supervised Learning. The regression…

Q: n=odd Repeat for the Signal shown below AeW -2 2

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: