Find the inverse Laplace transform L-'{F(s)} of the given function. 11s? – 18s + 45 - F(s) %3D s(s² + 9) Your answer should be a function of t. L-{F(s)}: %3D

Q: = The velocity of a particle moving along a line as a function of time is given by v(t) = Find the…

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Q: Differentiate the following Algebraic function. 2x2 1.y = - V7 3x-2 2. y 2x+1 3.y =+

A: 1.y=2x2x2-x232.y=3x-22x+13.y=5x2+1x3Note :If multiple questions are given we have to answer only…

Q: nction 'a' is 1+eaz at its pole

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Q: Which of the following is NOT an even function? O y = (x - 5)* O y = |a| Oy = 4 - a O y = 3x?

A: For an even function f(-x) = f(x). Check the each options.

Q: (In3+j5)5 sech(5.5430°) tanhj Tei – j213 ji]*

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Q: Please show step-by-step solution

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Q: Q3: Find the best power function representing the points in the table below. Then find y'(1) and y'…

A: x11.522.53y24.591524To Find:a) Power function representing the point.b) y'(1)c) y'(2)

Q: Which of the following are needed to transform the parent reciprocal function f (x) = 1/x so that…

A: Graphical transformation

Q: Find the domain of the function. f(x) = Vx-8 6. 8. f(x) = x2 + 8

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Q: Use the Chain Rule to find f"(x)

A: We have to find the derivative of f(x).

Q: 19. (2 points) Let ƒ be an even function such that = 216 and f(x) dx = 240. Evaluate (2 - 2)5(#) dz.…

A: The given data is : ∫03fxdx=216  and  ∫-23fxdx=240 To find: ∫-22x-2fxdx…

Q: Use differentials and the graph of f to approximate (a) f (1.9) and (b) f (2.04). To print an…

A: To calculate the approximate value of a) f(1.9) and b) f(2.04)

Q: Find the composite function from the given functions. (2pts each) 3 g(x)= ; x+5 8. (f° g)(x) 9. (g°…

A: Given f(x)=1/(x+5) and  g(x)=(3/x)-5

Q: • 61. f(x) = 4 – x², x2

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Q: Consider the graph of the function f (x) = x³. Which change in the function rule will translate f…

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Q: We can now rewrite L{y} as follows. (금) . (공) Liy} S- 5 s+ 4 Next, to solve for y, we apply the…

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Q: Question 24 Find the derivative of y = 3 7 15 (3x²+2ax) (ax²-3r-a) 7 (2ax-3) 2 5(32²+2ax)…

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Q: our-step process to find the slope of the tangent line to the graph of the given function at any…

A: We have to solve the tangent line solving the given steps.

Q: A conical tank has height 8 m and radius 4 m at the base. Water flows in at a rate of 2.2 m³/min.…

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Q: 4. у %3D х6 - 3x + 5x2 7 2 4 6 8 5. у %3D (x + 10) (2х - 5) 6. у %3D (x3 + 1) (3x2 - 1) 7. у %3D 5x…

A: 4)y=x62-3x44+5x26-78Differentiate w.r.t.x using power rule.dydx=6x52-3*4x34+5*2x6-0dydx=3x5-3x3+53x

Q: The graph of a function f is shown. y 800 400 x 0 20 40 60 (a) Find the average rate of change of f…

A: a. First find f(50) and f(60).f(50)= 400f(60) = 700Now use the AROC…

Q: Sketch the graph of f(x)= 1/3x-x-3x+4 showing all the points of inflection, local max. and local…

A: It is defined that the inflection points are those points at which the rate of change of slope…

Q: Consider the function f(x) = (4 - 5x)7. Find the second derivative f"

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Q: The function f(x)= Vx + 3- 1 is dilated to become f'(x) = x + 3+ 1. Which statement describes the…

A: To describe: The transformation. Given: The function f(x)=x+3-1 is dilated to f'(x)=-14x+3+1

Q: If f(x) = 7x5 - 6e", find: ƒ'(x) = ƒ' (1) = ƒ''(x) = ƒ'' (1) =

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Q: Find all the asymptotes of y -8xy +15x +13x – 3y+ 2=0.

A: Given equation is  y2-8xy+15x2+13x-3y+2=0

Q: Let f"(x) be the n derivative of the function f. The values for repeated derivatives of f (x) at x =…

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