6. Find the Fourier transform of f(t) = { 0 e-t t<0 t≥0

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Q: The position of an object (in metres) is given by the function s(t) = 4x² − 3x + 7. Use a table to…

A: given  s(t)=4x2-3x+7

Q: 3. Determine the function represented by the graph -2TT 211 31 4T 5T 6T 711 8TT

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Q: 9. Determine the maximum/minimum point(s) for y=sin 2x-cosx-4x on the interval 0<x<2π. The value(s)…

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Q: e) lim x-1 2x+7+√x+3-5 x-1

A: We need to solve the limit without use of L-hospital rule.

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A: Concept Let a function = f( x ) for extrema points f'( x ) = 0 Given f( x ) = -x2 + ax + b

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Q: 4. Find the equation of the tangent line to the function y = In = In (x²-2) when x = 3.

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Q: dz Fx Assume that F(x,y,z(x,y)) = 0 implicitly defines z as a differentiable function of x and y.…

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Q: Sometimes we ask you to enter an answer in interval notation. Examples would be (-∞,0], [5, 12], or…

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Q: By the Horizontal Line Test, the graph below represents a one-to-one function.

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Q: 6. Find the volume of the solid under the surface (of the paraboloid) z = xy and above the triangle…

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Q: By the Horizontal Line Test, the graph below represents a one-to-one function. O True O False

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Q: Find the absolute maximum value of 2 -1/² - 3x + 2 on the interval [0, 2].

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Q: 2. Compute the integral ₁ (1 - 2 − y + xy) dzdy where D is the rectangle [0, 1] x [0, 2].

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Q: If g(x) is a vertical shift of f(x), then f'(x) = g '(x). O True O False

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Q: Find the domain of the function. (Enter your answer using interval notation.) Note: If more than one…

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Q: Evaluate the given Laplace transform. (Write your answer as a function of s L{t cos(5t)} Need Help?…

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Q: charge

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Q: y = gx-4 +1n (6561)

A: To simplify the given equation

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A: For fx=2x-13, to find the equation of the tangent line at x=0 and x=2.

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Q: 7. lim sin(x) csc(5x) HIT

A: Given query is to find the limit.

Q: where x = (1-y)-¹. (a) z = x² – ³x + √ ₁ + P²₁ Find the partial derivative of z with respect

A: To solve the following problems of finding the derivatives.

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A: According to the question  As in question four different limits is given in question.