1. Find the Laplace transforms for the given f(t). (h) f(t) = 3 sinh At (i) f(t) = e-2t cos 3t (j) f(t) = 4 + cosh 2t

Q: Find the fay and fyy: f(x, y) = xe" - sin(xy) + x³y

A: fx,y=xey-sinxy+x3y

Q: Evaluate |F. di where F = ( – 4z, F(t) = (t, sin(t), cos(t)), 0 < t < T %3D

A: Introduction: the curve C ⊂U is defined as follows for a scalar field with functionf: U Rn→ R, a…

Q: An object moves along the x-axis with velocity given by v(t) cos(t) m/s || Suppose that the object's…

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Q: n the der natwe of Sin (x )= Sin Cx-cos (rE)) to CoS

A: Definition: Differentiation is the action of computing a derivative. The derivative of a function y…

Q: The domain of the function 7 (t) = (In t, cos 2t, /t – 2) is

A: Given that function rt→=lnt,cos2t,t-2To find : Domain Solution: rt→=lnt,cos2t,t-2t&gt;0,t-2≥0

Q: Find T, N and B for the curve 7(t) = (4 cos(2t), 4 sin(2t), 2t) at the point t = 0 %3D Give your…

A: given that                                          r→(t)=4cos(2t), 4sin(2t), 2t at t=0…

Q: (4) Let g be a function with domain R such that the following equation is true. g(t) dt. I COs x =…

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Q: Find f. f(t) f'(t) sec²t, -π/2 < t < π/2₁ = 10 cos t + sec f(π/3) = 1

A: f'(t)=10cos(t) + sec2(t)  -π/2&lt;t&lt;π/2 Also, f(π/3)=1

Q: Suppose that r(t) =. Then the speed is

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Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = L{f(t)} and n = 1, 2, 3, . . .…

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

Q: Let r(t) = cos(t) i + 4 ln(t² + t)j + 5 tan¯¹(t) k. Find 7' (t).

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Q: Find T and N for the curve 7(t) = (3 cos(5t), 3 sin(5t), 2t) at the point t = 0 COS Give your…

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Q: Consider the curve where a is the last digit of your exam number. (a) Compute=7 (t) at t € [0, +∞).…

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Q: df Apply the first order backward difference representation of dx [f(x) = f(x − h)]/h vf = 2ππ L to…

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Q: Find the velocity and acceleration of a particle whose position function is <(1)=sin(21)+ cos(t)

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Q: A yoyo bounces up and down in the vertical direction with its acceleration after tt seconds given by…

A: d^2y/dt^2 = a(t)

Q: 1. Evaluate [F.dr where F=xz²i+yj-x²k along the curve x = sin cos0, y = sin²0, z =cose with…

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Q: Consider the curve defined by r(t) = (cos(t) + t sin(t))+ (sin(t)- t cos(t))] for t > 0. (a) Compute…

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Q: Write an equation for the function graphed below 15+ 14+ 13+ 12+ + + + -7 -6 -5 -4 -3 -2 -1 -1 -2 -3…

A: A following graph:To Find:Equation of the above graph.