||r(t) × r"(t)|| 13 Use the formula k(t) to find k(t r(t) = ei + e¯tj K(t) = %3|

Q: (3 0 3 ) Write f in terms of step functions.

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Q: 2. The discrete random variable X has the probability function kx, x = 2,4, 6 P(X = x) = - 2), x = 8…

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Q: If f(x) is even and 5 [₁(f(x) - f(x) 8) dx = 8, find -5 5 [²³F(x) f(x) dx.

A: ∫-55fx-8dx=8 ∫-55fxdx-∫-558dx=8 ∫-55fxdx-8∫-55dx=8 As, ∫dx=x ∫-55fxdx-85--5=8 ∫-55fxdx-8×10=8…

Q: 55 Use abs(x) for |x|. Given that f(x) = |x| and g(x) = 5x + 5, calculate %3D 6. (a) ƒ o g(x) = %3D…

A: Given, f(x) = |x| and g(x) = 5x+5 (a) f o g(x) = f(g(x)) = |5x+5| (b) g o f(x) = g(f(x)) = 5|x| + 5…

Q: Find 7(1). 1 L (s + 7)3) e f(t) =

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Q: (b): A ball is dropped from certain height, its position at time t is s(t) = –2t² + 50 find the…

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Q: Find f(t). 1 <{{(5+5)3}

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Q: (x² for x < 2 Evaluate: g(x)dx where g(x) =16 – x for x 2 2

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Q: Water leaked from a tank at a rate r(t) of liters per hour,where the graph of r is as shown. Use…

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Q: A store noticed that it could model its yearly profit by the function p ( t ) = 0.3 t 2 + 4.8 t − 9,…

A: The function is pt=0.3t2+4.8t-9.   Substitute 1 for t in the equation pt=0.3t2+4.8t-9.…

Q: Use the values 3 1³ F(x 16 90 f(x) dx = 6 and g(x) dx = 2 to evaluate the definite integral.

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Q: Consider the following initial value problem, representing the response of an undamped oscillator…

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Q: Since YouTube first became available to the public in mid-2005, the rate at which video has been…

A: We are given that           v(t) = rate of video-hours uploaded per year               = 1.1t2 -…

Q: f(x) = x² %3D g (x) = [x/2] Select the correct value for f o g(-3/2). O 1 O 3 O -1

A: By definition, a function is a special case of a relation between the members of two sets. It is a…

Q: The value V(t) of a case of investment-grade wine after t years is V(t) = 2000 + 80t - 10t dollars…

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Q: | [10f(x) – g(x)]dx if Find 5 5 f(x)dx = 7 and g(x)dx = 6. %3D | [10f(x) – g(x)]dx = i

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Q: The windchill index announced during the winter by the weather bureau measures how cold it "feels"…

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Q: Lk where k is the time in months, Lk is the number of owls in the area studied, and RK Denote owl…

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Q: Find g(t) if g(t)= (f*g)(t) = L¹ ((-2/s +3/s² - 2/s³)F(s))

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Q: Please

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Q: df Find the total change of f(x) between x = 0 and x = 2, when dx = 4x² + 3x.

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Q: Find t(4)(n) for the function t(n)=3n-1/3 +2n5/3

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Q: |(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). 3 r(t) = ei + ej K(t)

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Q: Find F(s). F(s) = L {(4t + 1) U(t − 1)}

A: The given problem is to find the Laplace transform of the given function.Given function f(t) =…