Consider a system with the following impulse response (1, 0≤1≤3/ otherwise h(t) = Compute the Fourier transform of the impulse response h(t) (you may need to compute h(w) for w=0 and w0 separately).

Q: Consider the plane : x - 2y + 3z − 1 = 0 and the line 1: x = -1-29-2 = z + 1. 1. Find the point of…

A: Introduction: When two planes are perpendicular to each other, their respective normal vectors are…

Q: Solve the following initial-boundary-value problem by using the separation of variables technique:…

A: Given :             utt=uxx                0≤x≤1   ,   t>0 u0 ,t =0  ,u1 ,t =0…

Q: 3) You are constructing a box out of a sheet of cardboard with dimensions 2 m by 4 m. You then cut…

A: Note: As per the Bartleby guidelines, we cannot author hand written solution, so we are authoring…

Q: Set up an iterated triple integral equal to √√3 S√ SO 3-x² x²+y² 3 2- 4-x²-y² using: a. Cylindrical…

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: 23. Which of the following gives a formula for the surface area of the surface S obtained by…

A: Introduction: Calculating a parametrized surface's surface area is quite similar to calculating a…

Q: Consider the polar curves C₁ and C₂, where: • C₁ is the upper half of the circle r = cos 0. • C₂ is…

A: It is provided that: C1 is the upper half of r=cosθ and C2 is the petal of r=cos4θ. We need to…

Q: Q#6. Find the flux of the vector field F across the surface in the direction of positive…

A: Given :              Fx , y , z=2xi+yj+4zkru ,v=sinu cosvi+sinu sinv j+ cosu k       0≤u≤π3  ,…

Q: Sarah deposited $3000 in an account paying 5.3% per annum compounded semi- annually.

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Q: 6. For how many values of n will a regular n-sided polygon have interior angles with integral degree…

A: For an n-sided regular polygon, the sum of interior angles is n-2×180 In a regular polygon, all the…

Q: -20 10 -10- y=f'(x) 10 20

A: y=f'(x)

Q: Define the force field ₹(x, y, z) =. Let S be the portion of the plane z = 2 - 2x in the first…

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Q: Let G be the set of all triples of the form (k1, k2,1) or (k1,K2,-1), where the ki, i=1,2 are…

A: Given, G be the set of all triples of the form k1,k2,1 or k1,k2,-1,where k1,k2∈Z. An operation on G…

Q: Rachel purchased a car for $23,900; she paid 20% of the cost as a down payment and financed the…

A: The compound interest formula for an initial amount of P at a rate of r%, for t years compounded n…

Q: If a polynomial function p has an x-intercept -1, then p(x) is divisible by

A: Since p has an x-intercept -1 So, x-(-1)  i.e. (x+1) is a factor of p(x). i.e. p(x)=(x+1) g(x) for…

Q: 2. 3x² + 2x³ — 7x² - 4x + 2 = 0

A: Rational Root Test: For a polynomial anxn+an-1xn-1+.......+a0 possible rational roots are pq where p…

Q: 22. Use the divergence theorem to set up only a triple iterated integral for the flux ff, F.ds,…

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Q: Given that C = C₁ U C₂ U C3, where C₁ is the line segment from (-1, -1) to (0, 0), C₂ is the line…

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Q: Consider a solid bounded by, x² + y²=16, z=y², z=0 and x=0 Calculate its volume.

A: Introduction: Volume and the triple integral are equivalent. Integral is mostly used to calculate…

Q: y"″ − 3y" − 4y' + 12y = 0 -

A: To find the general solution of the differential equation y'''-3y''-4y'+12y=0

Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

A: Since you have asked a question with multiple subparts here we will solve the first three sub parts…

Q: An RRSP is an investment offered by many financial institutions. In a particular RRSP, which is…

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Q: Find the Fourier series for the following functions: f(x) = {²¹ -2≤x≤0 0≤x≤2

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Q: Let S be the surface defined by the vector function น V 2 2 R(u, v) , ue [0, 2], v e[− 1, 1]. Find…

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Q: Question 15 time (sec) 0 1 2 velocity (ft/sec) 11 19 20 12 3 1 8 feet

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Q: 2 Find the surface area of the portion of the cone x² + y² = 2² above the region inside the…

A: we have to find the surface area of the portion of the cone x2+y2=z2 above the region inside the…

Q: Could you please write the work or just make it more clear?

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Q: Let f be a function of two variables such that and f(2,1)= 4. f(x, y) = a. If, in addition, x=r cos…

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Q: 3. Integrate numerically the given function, f(5+ 3sinx) dx using (a) single application of the…

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Q: 2) Find an equation of the plane that contains all points that are equidistant from the points…

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Q: (k+1) (-1) (K+1)((K+1) + 1) 2 (1)* K (K+1) + (-1)**) (k+1) ² 2

A: Introduction: The steps below can be used to demonstrate that a propositional function P(n) is true…

Q: Write the differential equation that governs the motion of the damped mass-spring system, and find…

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Q: Praw the curve r= 4 + 8 cose and find the area outside the inner loop of the curve,

A: answer of the give question is 4π

Q: 7. Solve for cot - 2 if cos(20) = 4 5 and P(0) E QIV.

A: Cos (2 θ) = -4/5  - 1 + 2 Cos2 θ = -4/5 2 Cos2 θ = 1 - 4/5 = 1/5 Cos2 θ = 1/10 Cos θ = 1/√10 2 Cos2…

Q: Suppose is the surface generated by revolving the curve y = 4(x² - 1) about the y-axis. 1. Determine…

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Q: 15. Evaluate the surface integral ff (x+y+z) ds, where S is the parallelogram with parametric…

A: The surface S is parametrize by R(u,v). Then the elementary surface area ds=|RuXRv|dudv

Q: Which of the following arguments is VALID? Burgers are expensive and the soup is hot. Therefore,…

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Q: b. Construct a particular solution by assuming the form (1) de+6+ and solving for the undetermined…

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Q: If f(x) = ex and the 4th degree Taylor polynomial of f(x) centered at 2, what is T4(2.4)? Round your…

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Q: 3y > » √+x4 Definc f(x,y) (a) Find the rate of change of f at the point (-1,1) along the direction…

A: Given: fx,y=3y1+x4 To find: (a) Rate of change of f at the point (-1, 1) along the direction <1,…

Q: Define the force field Ē (x, y, z) = . a. Find the divergence and curl of F. b. Let C be the…

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Q: Approximate the area under the curve y = x³ from with 4 subdivisions. 2 to 4 using a Right Endpoint…

A: Introduction: Apart from evaluating a definite integration by using the formula, we can also…

Q: Define the force field ₹(x, y, z) = . Let S be the portion of the plane z = 2 - 2x in the first…

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Q: Σ ∞ n=1 1+4¹+1 6⁰ is equal to

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Q: Consider the parametrized 3-manifold X: [0,2] x [0, 1] x [0,1] → R¹ X(U₁, U₂, U3) = (₁, U₂, U3,…

A: Please find the answer in next step

Q: Given that C = C₁ U C₂ U C3, where C₁ is the line segment from (-1, −1) to (0, 0), C₂ is the line…

A: This is a problem on Green's Theorem. The problem has been solved step by step. See the solution.

Q: Consider the set T whose elements are all the factors of 1000 and denote a relation τ ⊂ T × T such…

A: Given Data: Consider the set T whose elements are all the factors of 1000 and denote a relation τ ⊂…

Q: What monthly payments should Angela pay to save $93,000 in 19 years if money can earn 4.8%…

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Q: Find the domain of f(x) = 1- - 1- x X 3.

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Q: Let A = {1, 2, 3} and let ρ be a relation on P (A) × Z that maps a set to its cardinality, e.g. ({1,…

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Q: QUESTION 1 Given that = 0.2836 approximates f(x) = cos x at x = 5. 1. Find the absolute error 2.…

A: Solution: True value of f(x) = cos x at x = 5 (radian) is         f(5) = cos(5) = 0.2836621855. So…