Question 11 Find the solution, (D3+3D²+3D+1)y = 0 (A y = (c,+c,r+cx?)e= © y = c,e"+c,„xe -3«. Oy = c,e*+ (c,x+czr?)e=*

Q: Give at least 3 examples of each type of matrices. 1. Nilpotent Matrix

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Q: 2. I3D X-に-A

A: To find: Area of the shaded region in adjoining figure.

Q: Prove that for every prime p, there exists an integer r, such that r = 16 mod p.

A: To prove: For every prime p, there exists an integer x, such that x8≡16 modp.

Q: 6. An average earthquake measures 4.5 on the Richter scale. a. How much more intense is an…

A: The complete solution is in given below.

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Q: 2. If a, b, c, d > 0, use the properties of logarithms to simplify and then find the exact numerical…

A: Given: 2 log a+ 2 log ba+log cd-log cb2-10d=0

Q: Let f e S. Is it always possible to find an m E N and m > 1, such that fm = f? If this is possible,…

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Q: Consider a four-input function that outputs a 1 whenever an even number of its inputs are 0. a)…

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Q: (a) L-1 s²-7 2 (b) L-1 (s-3)5 4s-5 C-1 .2 -s-2 please solve the inverse laplace 3.

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Q: y = x2 + 5x – 1 fonksiyonunun birinci mertebeden türevini z = 0 noktasında h = olmakla ileri- fark…

A: Forward diffrence formula for first derivative at x=0,h=1/2

Q: Consider the linear DE system æ' = Aæ with -14 -90 and A = 2 14 If the initial conditions are given…

A: To find the solution for the below linear differential equation system. x'=−14−90214x,  x0=02

Q: The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its…

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Q: Using the composite division, find the rest of the border division ((4 x) 2 + a-x - 5 x  4-3 x 6+…

A: By composite division if we put x=a+2, then by the algorithm rule we can find the solution easily.…

Q: 9 = mx where m is a constant then what can you say about- Sif(x)de ? If f(x) It is positive We…

A: 9

Q: Consider a system of two toy railway cars (i.e., frictionless masses) connected to each other by two…

A: as given m1=2 kgm2=1 kgk1=64 Nmk2=32 Nm

Q: 3. Solve the initial value problem by the method of Laplace transforms: y" + 4y = 2, y(0) = 4, y'(0)…

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Q: 4 Si Vadz = 14/3 14/3+can unknown constant 16/3 not calculable 5 If f" (z) (known) is the second…

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Q: functions identical?

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Q: (2k)! (k + 2)(k!)* k=0

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Q: Question 5*: 1130 lecture in the 2021 Fall term is 7. The average number of students at X University…

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Q: (a) u, v, w are vectors such that u·v = 3, u·w= -2, v·w= 5. Then, (u+ 2v)· • w = (b) {u, v, w} is a…

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Q: The drive from the Rome to Pompeii is 149 miles on Italy’s Autostrada. It takes 2 hours 28 minutes…

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Q: Let f E S, be a permutation What is the value of the signature function sgn(g) for the following…

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Q: QUESTION 3 Show that if G is Abelian then in the mapping :G→G given by o(x) = xis an isomorphism.

A: Given that the mapping phi : G→G given by phi(x) = x ^ - 1 We have to Prove that given group is an…

Q: Let X = {a, b, c, d, e, f, g} and Y = {1,2). Let X (d) and let g: X Y %3D %3D be the function…

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Q: The value of a stock increases by 8% each year. 1. Explain why the stock value does not increase by…

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Q: Write down the augmented matrix corresponding to the following system of equations in five…

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Q: dx Evaluate f- +1) using the Cauchy principal value.

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Q: 8 A = 3.75 n invertible matrix C and a diagonal matrix D such that A = CDC-1. C = D =

A: We have to find C and D such that A = CDC-1

Q: Consider the inner product space (P2, (,)) with the inner product (p(x), q(x)) = p(0)q(0) + p(1)q(1)…

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Q: By using the sccant Methad findthe:voots ofeauation

A: We have f(x) = x-22-ln(x) x0 = 1 and x1 = 2 f(1) = 1-22-ln(1) = 1 f(2) = 2-22-ln(2) = -0.69315

Q: 4. Determine the number of zeros of the function f(2) = 224 – 2iz³ + 2² + 2iz – 1 in the upper…

A: The complete solution is in given below

Q: C. How many extensions of g to A are onto?

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Q: 1) Calculate the real values of x and y such that (x + jy)3 is real and |x + jy| is 8.

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Q: olution by two pha

A: Introduction: The simplex method is a method for testing vertices as potential solutions in a…

Q: The perimeter of the rectangle below is 116 units. Find the length of side RS. Write your answer…

A: length of the rectangle, using the perimeter of the rectangle

Q: Find the Inverse Laplace Transform. 98-8 F (s) = %3D 82-4s+20

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Q: B- {-x+x², -x², l-x5 2 2 C=? 2+x -x?, 2-x?, 3+x=2x2} 1 2+ X a) Find the a). change of basis matrix…

A: Given that  B={-x+x2,-x2,1-x} and  C={2+x-x2,2-x2,3+x-2x2} We find the change of basis matrix…

Q: n/2 dx 2xy + dy dt dt such that Show that the functional , 1 dt x (0) = 0, x (R/2) = - 1, y (0) = 0,…

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Q: Construct a field F of cardinality 16 and find a generator of the

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Q: „Ifi andi are independent co-ordinates of a point, show that %3D

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Q: 5. Evaluate the integral xdx+ (x+y)dy where C is the curve x 1+y from (2,1) to (2,-1).

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Q: Find the radius of convergence, R, of the series. n! n = 1 R = Find the interval, I, of convergence…

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Q: Find the linear approximation of the function below at the indicated point. f(x, y) = V17 - x² – 4y²…

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Q: Find the interval of convergence. (x + 6)" (n In(n))² n=2 (Use symbolic notation and fractions where…

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Q: 2. Alanna plans to add an extension on to her home. She applied for a loan of $30 000. Loans are…

A: Given: Loan amount = $30,000Interest rate r = 8.9%pa or 0.74% per monthPeriod n = 5 years or 60…

Q: evaluate z=4^5+3i

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Q: Solve Nonlinear Equation: Using the Fixed Point Method x=(exp(x))/3 use the following initial values…

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Q: Blink Appliances plans to order microwaves and stoves. Each microwave requires 2 hours to unpack and…

A: let x=microwave order and y=stove order. then,we have to maximize the revenue, Max Z=157x + 198y…