Find the function whose Laplace transform is not defined? (Notation: exp(x) = e) A. f(t) = 6t C. f(t) = sin(et²+2t) B. f(t) D. f(t) = = log (t² + 1) exp(et): = eet

Q: df + At" f(t)– B•cos(@t) dt with A = 5, n = 2, B = -6, w = 12, and f(0) = 3. derive an expression…

A: We are given the differential equation,                                      .

Q: Let f(x) = -2 ln(cos(x)) f''(x) =

A: dlnxdx=1xdcosxdx=-sinxdtanxdx=sec2xsinx cosx=tanx

Q: Let ƒ (t) = e5t sin 7t. Part (a) Find L{f (t)}. Part (b) Find L{f' (t)}.

A:

Q: 1. Compute the derivative of the following function: F(x) = [²dt sin

A:

Q: Determine L[f]if S() = f(1) = | sin(t - T)e-dt.

A:

Q: The derivative F' (t) is graphed in the figure below. Given that F (0) = 12, calculate F(t) for t =…

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Q: Find the derivative y = √√x S 3t cos (16) dt 0 A. 3 cos (x³) -3√√x sin (x³) OB. 3√√x cos (x³) OC.…

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Q: Find cosh² (t) sinh5 (t) dt.

A:

Q: Find the intervals in which the function f(x)=sin (log,x)+cos(log,x)is decreasing.

A: By the first derivative test, a function is decreasing if its derivative is less than zero.

Q: Suppose the high tide in Seattle occurs at 1:00 a.m. and 1:00 p.m. at which time the water is 16…

A: The high tide in Seattle occurs at 1:00 a.m. and 1:00 p.m. at which time the water is 16 feet above…

Q: Faraday's law characterizes the voltage drop across an inductor such as di VL = L dt where V, =…

A: We are given the following equations. VL=Ldidt where VL = voltage drop (V), L = inductance, i =…

Q: by s- differentiation find L(te-3t) = 1 .aO (s- 3) 1 .b O (s-3)2 (s+3) .dO (s+3) 2 1.

A: The solution is given as

Q: Use logarithmic differentiation to find the derivative of y with respect to the independent…

A: