Find F(s). F(s) = L{t(et + e³t)2}

Q: Differentiate. f (t) = 2/t - 3t3

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Q: Calculate L{f(t)}

A: A periodic function is a function that assumes the same value after a certain period. A function…

Q: Let g (t) 4t3. Find g (1)

A: Given, gt=4t3

Q: 0st<3 f(t) = 5+ 6(t – 2)et-3 t2 3

A: By using table of Laplace transform I solve your problem as follows :

Q: Estimate g'(3) of the function g(t) =

A:

Q: The inventory for an item in a warehouse is given by I(t) = 90e0.03€ +, where t is measured in days…

A: We know for the year 2021, January, February, and March months have 31, 28, and 31 days. We have to…

Q: Solve the given system of differential equation by Elimination D’x- Dy =t (D+3)x+(D+ 3)y = 2

A: The given system of differential equations isD2x - Dy = t                     ......(1)(D+3)x +…

Q: Find f′(x), if f(x)=(x4+1)(3x−1).

A:

Q: Estimate L4 and R4 and over [0,7] for the function f(x) = 7x2

A: We have to estimate L4 and R4 in the interval 0,7 for the function: fx=7x2 L4 and R4 denote the left…

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

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Q: Find f. f ″(x) = 8x3 + 5,    f(1) = 5,    f ′(1) = 4

A:

Q: Consider the function g(x)=(f(x))^5. If f(4)=3 and f′(4)=−2, then find g′(4).

A: Given: g(x)=f(x)5f(4)=3f'(4)=-2

Q: Find T(0)

A: Introduction: The tangent vector of a vector valued function rt is represented as r't. The necessary…

Q: f=1/5(g+h-k) h=

A: The given equation is,