d -sin 6 if0 is given as dx What modifications would have to be made to find the derivative an angle in degrees instead of radians? How could the derivative of sinx be expressed as a sine function?

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: G.. Evaluate the fallowing real integrals by residue. theerem 3 -bm e 응) co3 mx (x4a?) Cx+b?)

A: This is complex analysis problem, we apply the residue theorem to solve the problem.

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: 1 Find the value of dz and dz/ dy at the point A when x changes by (0.01) and y changes by (-0.01)…

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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: valuate f (z) dz.where C is the parabola y =x2 from z =-1+i ti 7 = 1+i and S (z ) = 6.x

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Q: 4.2. Let a=for n23 (a) Let f be the function given by f(x) = -1/ For x23, fis continuous, xlnx…

A: Please see the attachment  We are supposed to do one problem.

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: The following data give approximations to the integral 1.5 In x² dx M = N, (h) = 0.13515504, N, (4)…

A: Using Richardson's extrapolation, it can be written that N2(h)=4N1h2-N1h3.

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: 22/Find the Fourier series for the following function? (SM) r)=x for

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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: Shanaya graphed the line represented by the equation y =x-6. Write an equation for a is parallel to…

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

A: Laplace transferom

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: vationš 50. Consider the 3 observations 3,7,11 for which the mean is 7 and the standard deviation is…

A: Solution: Given information: The  3 observations are  3,7 and 11 The mean is 7  and standard…

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…