Find the Fourier transform of f(t) = [Aeat ]u(t) %3D and draw the amplitude and phase spectrum

Q: Suppose that for every r E R, pqr 0. Show that R is isomorphic to R/I, × R/Iq.

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Q: Students Number of Tests 22 1 15 2 8 3 5 4   b. Compute the variance and the standard dev...

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Q: 1. Simplify: 12 O6 3 O6 5 ©6 24

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Q: Find the unit vector Â, B, the dot product À. B, and state whether these 2 vectors are orthogonal, p...

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Q: A company produces two types of drills, a corded and cordless. The cord-type drill requires 1 hours ...

A: It is given that the number of cordless drills produced per day is x and the number of corded drills...

Q: 1. Draw the region Ni = {(x, y) : 0 <x<1:1-r<y < 2 – (x – 1)2}U {(x, y) : 1 < x < 2 :x –1<y<2 - (x –...

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Q: 1. Define the function f(x, y) on the non-negative integers recursively by (2f(5,y) y + f(x – 1, y) ...

A: The complete solutions are given below

Q: Which of the following is cluster point of 2n2 – 3 sequence a n2 O A. O В. -3 О с. 2 O D. All of the...

A: So, the given sequence is  an = 2n2 - 3n2 ⇒an = 2n2 - 3n2 ⇒an = 2-3n2

Q: 2. The differential equation x2(x- 2) y" + 3(x – 2)y' + y = 0, has the singular points at x = 0 and ...

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Q: Determine if the function satisfy the Cauchy-Riemann equation. 1. f(z) = z + Re(z)

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Q: Determine if the function satisfy the Cauchy-Riemann equations. 1. f(z) = z? 2. f(z) = cos (z) 3. f(...

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Q: Find the areas of the figures given below, where all the corners are right angled and dimensions are...

A: The area of a rectangle is calculated using the formula: A=l×w, where l, w are the length, width of ...

Q: 29. 30. - 16 s + 10 1 31. s2 - s - 2 32. (s + a)(s + b)

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Q: Problem 6 Let C(0, 1) be the set of contimuous functions on (0, 1] with the uniform metric induced b...

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Q: 2. The differential equation x (x - 2)?y" + 3(x – 2)y' + y = 0, has the singular points at x = 0 and...

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Q: Jake's locker number has four digits and is not divisible by 3. The second digit is the square of th...

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Q: MIKE DEPOSITED ON MARCH 12, 2020 AT 10.5% SIMPLE INTEREST. ON SEPTEMBER 8, THE FUND ACCUMULATED TO 1...

A: Given- Mike deposited on March 12, 2020 at 10.5% simple interest. On September 8, the fund accumulat...

Q: 4. In each ofthe following: (a) classify the P.D.E and (b) obtain its canonical form. (a) 4uzz + Uzy...

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Q: Look for the Fourier transform of the pulse waveform below. v(t), -T/2 0 T/2

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Q: Given a period function f(x) with a period p 4, (0, f(x) = {k, (0, -2 < x<-1 -1 < x <+1 +1< x < +2 (...

A: Fourier series

Q: Consider the sequences 7 Which 13; 2 5 8 11 of these statements is correct? A. The sequence converge...

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Q: Verify that (p v q) = (¬p) ^ (¬q)

A: ¬p∨q≡¬p∧¬q

Q: 2. The differential equation x²(x- 2)²y" + 3(x – 2)y' + y = 0, has the singular points at x = 0 and ...

A: Given differential equation is x2x - 22y'' + 3x - 2y' + y = 0

Q: scriminant of the quadratic equation x2+2x-7=0

A: Introduction: The discriminant of the quadratic equation ax2+bx+c=0 is given by, d=b2-4ac If discrim...

Q: 1) Find the slope of the line tangent to the curve y = sin x at the point where x=r/3

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Q: 13. (a) To buy a Treasury bill (T-bill) that matures to $10,000 in 6 months, you must pay $9750. Wha...

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Q: I and i1 3. Evaluate the function f(x)= 2x +3 at f(-2). A. f(-2)=1 B. f(-2)=-1 C. f(-2)=7 D. f(-2)=-...

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

Q: 13 Find NK. Use the circle below for questions 13-16. 15 6.

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Q: Activity 2: Summing Up: by Quarantina Find the sum of the terms of each finite arithmetic sequence b...

A: We are entitled to solve only one question at a time and up to 3 sub-parts only. As the sub-parts ar...

Q: 2 – 1 Find the values of a for which the matrix A = 2– 2 1 is invertible. 2

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Q: 1. Determine the true error and relative true error when approximating the derivative of f(x) = -x² ...

A: Since there are multiple question, we solve the first one. Post the question again and mention the q...

Q: Levi consumes an energy drink that contains caffeine. After consuming the energy drink, the amount o...

A: Given,  10 hour decay factor = 0.2428

Q: Use the method of undeterminad Coefficiento to slve the initial valene proalem : yo +Qy'+5y=cin Cat)...

A: The given initial value problem is              y''+2y'+5y=e-tsin(2t)  , y(0)=1, y'(0)=0 We find the...

Q: Exercise 9. Let u = (1,2) and v = (2, 1). Find a nonzero linear combination i of u and v that's perp...

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Q: What is f(x) + g(x), if f(x) = -x + 5 and g(x) = 3x + 2

A: Introduction: Like numbers, two functions can also be added or multiplied. If the two functions are ...

Q: • Show that f(x) < x. • Show that ƒ has no fixed point on (0, 3]. Hint: Assume there were f(c) = c a...

A: This is a problem of metric space, real valued function.

Q: By using the principle of mathematical induction, prove that for n > 1 1+2+22 + 23 + 24 + .+ 2" = 2"...

A: Let the statement be 1+2+22+23+24+…+2n=2n+1-1  …………1 First we prove that the above statement is true...

Q: what number is 25% of 512?

A: 25% of 512 is 512×25100 = 512×14 =128

Q: SIX six 15. Carry out the addition shown using base-six notation and show that your answer is correc...

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Q: Prove that every set with positive Lebesgue measure contain a non-measurable set

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Q: The Fourier cosine series for an even function f(x) is given by f(x) = ao + E an cos(nx) n=1 The val...

A: To find the coefficient a2 for the Fourier cosine series of the below function. fx=cos2x in 0,π

Q: Given the line L: and a linear transformation T:R R?. Let A denote the standard matrix of T and T(L)...

A: We will be solving the part (d), (e), (f) and (g) as mentioned. Let T:ℝ2→ℝ2 be a linear transformati...

Q: Find the general solution of z= px+qy+p² + pq+q²

A: Given partial differential equation is z=px+qy+p2+pq+q2. We have to find the general solution of the...

Q: Prove that if KCR is compact and non-empty, then sup(K) exists and sup(K) E F

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Q: 47.1f it is false that if Bob is a doctor then he is an astronaut, then he is a logician. (DAL) 48. ...

A: As per norms, we will be answering only the first three questions of the asked numbers that is 47, 4...

Q: Use technology to maximize the following. You may round answers to 2 decimal places if desire Maximi...

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Q: f(t) = { -1<t < 0 – a<t<0 4 0<t<n

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Q: Find the harmonic conjugate of the following. 9. ex*-у* cos (2ху)

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Q: [3 1 6. 3 Mat C =|11 -2 5 4 Mat A = magic(4), Mat B = 8 20 l10 7 11. 5 11 30 6.

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Q: (X+y)²

A: we have to find (X+y)2 (X+y)2 = (X+y)(X+y)