Evaluate, 8e 3 2230° express your answer in exponential form. 2x O 4e 4e 3 O 4e O 4e 4e공

Q: Consider the following initial value problem: Į 5t, 0sts9 45, t> 9. У + 36у %3 y(0) = 0, y (0) = 0 U...

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Q: Let G be an Abelian group and define H to be the set of all elements of G with finite order. Follow ...

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Q: Find the area of the largest triangle shown on the right. 10 in. 7 im 8 in The area of the largest t...

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Q: Simplify the following matrix expression (A -B)(A +6)- (A+B)* 2.

A: Introduction: Two matrices can also be multiplied. But, in general, matrix multiplication is not com...

Q: Obtain the solution using Integrating Factors Found by Inspection Please don't use other methods. U...

A: To find- Obtain the solution using Integrating Factors Found by Inspection yx3y3 + 2x2 - ydx + x3xy3...

Q: Question 2. Let G be a finite group, H 3 G, N 4G, and gcd(|H|, |G/N|) = 1. Prove that H 3N.

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Q: 2 3) (6-1)°(st3)

A: We find inverse laplace transform of given problem.

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Q: I don't understand how the Wronskian method is being applied.

A: Wronskian is a method by which in a differential equation we check the solution of the differential ...

Q: must include the entries augmented to the original one. 9. The difference between a complex number z...

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Q: 2), the 2) = 30, ation an write t

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Q: 1. (а) Find the Fourier series of the function 3, if - 2<x< 0, f(x) = {6, if r = 0, -5, if 0<r< 2, o...

A: Fourier series of a function f(x) in the interval [-L,L] f(x)=a0+∑n=1∞ancosnπxL+∑n=1∞bnsinnπxL where...

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Q: For the function given below, find a formula for the Riemann sum obtained by dividing the interval [...

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Q: Prove or Disprove. for any real numbers x and y, |x+y| = |x| + |y|

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Q: . f(x) = 2* DA. O(x²) DB. Ω(x) Dc. O(x²) f(x) = [x][x] (floor of x times ceiling of x) DA. O(x²) DB....

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Q: Use Taylor series for y(x + h), y(x – h), y(x + 2h), and y(x – 2h) to derive the FD formula for the ...

A: Here we have to use taylor series for y(x+h) , y(x-h) ,y(x+2h)  and y(x-2h)   

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Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence con...

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Q: Graph the linear inequality y ≥ 3x + 5

A: We have to draw graph of linear inequality  y ≥ 3x + 5 

Q: 1. Solve the maximization problem using the simplex method: S + 2r subject to: Gr+ 12 < 45 HAximixe:...

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Q: Is the following statement true or false? Explain your reasoning. If F = 2G, then dà = 2 G-dÃ

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Q: 3. Use the binomial theorem to find the coefficient of x° in (x+2)3 2. Use the L theorem to find the...

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Q: 95. At a certain point on a heated plate, the greatest rate of temperature increase, 5°C per meter, ...

A: (95) Let , f = f(x,y) be the temperature at any point. We know the greatest rate of temperature chan...

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Q: Draw a dependency diagram, and write a chain rule formula for and where z = h(p) and p = g(m,n). dm ...

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Q: Q1; Vsing the Power serieg expansion for cose

A: Power series exaption for cosx

Q: Find the sum of the infinite geometric series. (If an answer is undefined, enter UNDEFINED.) 9(0.4)"...

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Q: In Exercises 15-21, use the ratio test to decide whether the series converges or diverges. 15. 16. 2...

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Q: Find the average value of f(x,y)= 4x+2y on the region bounded by x=0,y=0, and x + y= 3

A: Introduction: Like a single variable function, the average value of a two variable function can also...

Q: The mako shark can grow to a length of 12 feet. This is 70.59% of the maximum length of the beluga w...

A: The mako shark can grow to a length of 12 feet. This is 70.59% of the maximum length of the beluga w...

Q: 12 log (a cos 0+b² sin 8) de log (a+b a>0, b>0 2

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Q: After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the rai...

A: Given : Equation of parabolic rainbow y=-x2+36.

Q: d by f(z) = (x alytic, then C %3D

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Q: Let be the set A = {(2, –2,6), (1,2,0), (3,0,6)}, of vectors of R³ a) Determine the vector space w (...

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Q: Find the eutre me points of the Following Function.

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Q: [9] Let A = {a, b, c, d} and B = {1, 2, 3}. Define a function F: A → B as follows: F3(а, 3), (b, 3),...

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Q: Draw a sketch of a position-time graph, corresponding velocity-time graph, and corresponding acceler...

A: (i) First draw a position-time graph such that vt≠0 at every point.

Q: 6) z-7x+ y = 2, 2y + x-z=6 , 3z 0 use the inverse method to %3D find x,y,z

A: We have given the equations z-7x+y=22y+x-z=63z = 0 we have to find x, y, z by inverse method after t...

Q: Show that the Vingof CamPlex humbers CFst Can be imbedlaling inaring off 2x2 matvices (Mzn

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Q: 4- solve the following differential equations (a) x +3x +2x = g(t) = {0 (10st<10 0 t2 10 ,x(0) = 0,x...

A: Applications of Laplace transferom, solve the differential equation by using Laplace transferom

Q: Evaluate (-5 – j6)īo in exponential form 10

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Q: R.3. Suppose A C P(A). Prove that P(A) C P(P(A)).

A: Introduction: The power set of a set is very significant in the set theory. Every set has two trivia...

Q: Julie invested $148,000 in a simple interest account. After 12 years and no additional deposits or w...

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Q: Which of the following functions are solutions of the differential equation y' + 2xy = 14x? 7x2+4 O ...

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Q: (2 ) Consider the following system of differential equation, with time domain te (0,1): x' = -2x + 4...

A: The complete solution is in below

Q: Determine whether x'= (0,,0) is an optimal solution to the following linear program. maximise 3x1 + ...

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Q: Find the interquartile range of the data set. {-4, -6, -9, -3, -2, -4, 0}

A: Introduction: Median is a measurement of central tendency of a given statistical data. When we arran...

Q: If we take an adequate substitution, the following Bernoulli's equation y' +y = -x®y5 will be transf...

A: We have to find the transformed equation using an adequate substitution.