F(s) = L(f(t)) = | f(t) e-st dt Calculate : 1) f(t) = 50 +t + 100 sin(wt) 2) f(e) = te-*

Q: Find f. f'(t) 8 cos(t) + sec?(t), -7/2 <t < a/2, f(a/3) = 5 f(t) =

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Q: 2x² Find F'(x) given that F(x) = S," cos (t2 + 2)dt

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Q: 3 Find f'(x)given f(x) = x/x – 4x – 7x %3D

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Q: Q3) find the derivative of each function: 1) y=x sin 2x +x cosx

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: As the number of hours since you ate protein increases from 2 to 2.75 hours what is the average rate…

A: Given: At 2 hours B1=1100 mg/L At 2.75 hours B2=1025 mg/L

Q: Sketch a potential f(x) given the following graph of the first derivative f'(x). Explain you…

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Q: What is the gradient of the function f(x) = 5 sin(5x) A sin(5x) - sin(5x) E B 25 cos(5x) F -cos(5x)…

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Q: The derivative of the function f(x) = elan(=) + Ve is

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Q: apply shifting property of laplace in the equation f(t)= t cos 2t and f(t)=t^2e^-3t

A: To apply the shifting property of Laplace in the given equations.

Q: Apply the 1t derivative property to : 1) f(t) = e-2tsin5t 2) f(t) = = cost sint 3) f(t) = e²tsin2t…

A: Solution

Q: Calculate the derivative of t2 -k 3 - t F(t) = cos(t) i + 3e2t+2j + |

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Q: tan-lt t +0 t f(t) = 1 t = 0.

A: Given that, f(t)=1 when t=0. Differentiate the function with respect tot t implies, f'(t)=0  when…

Q: Find f. f(t) = f'(t) sec(t) (sec(t) + tan(t)), -2-√2 x Need Help? Read It Watch It - 1/2 < t < 1/₁ (…

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Q: Can you find f

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Q: Solve the derivative in R3: r(t) = (cos(t), 2sin(t), et^2) x (t, t ln(t), 0)

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Q: Find f. f'(t) = sec(t)(sec(t) + tan(t)), f(t) = - 1/2 <²<= // ¹ ( ² ) = -3

A: Given that, f't=sectsect+tant, -π2&lt;t&lt;π2, fπ4=-3 We have to find the function ft

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

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Q: Find f. f'(t) = sec(t)(sec(t) + tan(t)), = -1 f(t) =

A: Given that: f'(t)=sect(sect+tant),    -π2&lt;t&lt;π2, fπ4=-1

Q: Solve F'(t) = t+ F(t – u) cos u du, F(0)-= 4. %3D

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Q: Apply the first part of the fundamental theorem to determine the value of F'(x) if: e) F (x) = S…

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Q: e) s = cos (1– 21) -2 4t f) y = t+1, .2 x + x g) y =

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