Question 3 Find the transform of the given function by use of a table. f(t) = e4t 1 (A) F(s)= S + 4 B) F(s)= D 4 = -4) 1 Ⓒ F (3) = 5 ¹ 4 - 4 (s + 4) E There is no correct answer from the given choices.

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A: y=tan(x)    ddx(  tanx ) = sec2x

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A: ddxex1-ex

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Q: Question 7 Determine the derivative of the given function: y = x² e-* Oy=x²e-e* (2x) Oy = 2² +22 Oy…

A: The given function is; y=x2e-x.

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Q: Let / be a twice differentiable function. One can show that e* (exf)" = af" + bf' + c, where a, b, c…

A: NOTE: Refresh your page if you can't see any equations. . use the product rule for the derivative

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Q: Solve the inequality. State the solution in interval notation: 6x4 + 12x³ < 48x²

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A: To evaluate the given integral.

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Q: For the function f(x,y)=x^2−6xy+2y^2, find and classify all critical points

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Q: Suppose R is the triangle with vertices (−1,0), (0, 1), and (1,0). (a) As an iterated integral, ff…

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A: The equation of the circle is x2+y2=1 The radius of the unit circle is 1 unit.

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Q: Question 10 Determine the derivative of the given function y = log(a+b) cosh (2³) where a an…

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Q: Parameterize boundary of triangle (0,0),(5,0),(3,9)

A: We can parameterize the triangle in the below steps.

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Q: 1. (sin³1y) (cos ydy 5 8 0 2 2

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Q: Sketch the given region of integration R and evaluate the integral over R using polar coordinates.…

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Q: Find the Laplace transform of the funct f(t) = tsin2t

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A: Please see the answer.

Q: Find the derivative. 1 y = _x3 + 3x + Væ 2 Ody dx O Ody dx || ip O 32 y=2x2 +3 + 2x 32 || 2 X +3+1/x…

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Q: EXAMPLE 2 Fir 100 56. Σ(3k + 4) k=1

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A: Given: fx=4xx2+12

Q: How much do the volume of a sphere change with respect to its diameter at the instant, and the…

A: Recall: Volume of sphere, V=43πr3

Q: Use the properties of logarithms to exapnd the logarithm as much as possible: 4 log5 ພາ2 x4y³

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Q: Question 21 Determine the derivative of the following curve: x² + y² = 5 Oy = -√2 Ov=√ Od = -√√…

A: Explanation of the answer is as follows

Q: Evaluate the integral 1 Note: Use an upper-case "C" for the constant of integration. 9x² √4x - x² dx

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