Find T(t) and N(t) at the given point. r(t) = (t – 5)i + tj; t= 5 T(5) N(5) =

Q: For a particular object, a(t) = 5t2 +9 and v(0) = 9. Find v(t). v(t) =D

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Q: Use the Laplace transform to solve the given system of differential equations. dx dy + 7x + dt = 1…

A: Mark equations as equation(1) and equation (2) respectively Taking LaPlace transform of Equation…

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Q: Find T(t) and N(t) at the given point. r(t) = (t² – 11)i + tj; t = 11 T(11) : N(11)

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Q: find f (-2) f(t)=-4t +1

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Q: If g(t) = 4t - t2, find g(t + h) - g(t) h and simplify.

A: Here it is given that;  g(t)=4t-t2 we have to find g(t+h)-g(t)h=?

Q: h(t)=3t+2h(t)=3t+2; Find h(−10)h(-10)

A: h(t) = 3t + 2  We have to find h(-10)

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A: Given that  Inverse Laplace of {e^(-2s)/s^3) To find Laplace transformation

Q: Find y 1f y=X in (4x+1)

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Q: Given h(x) = x²– 9x. Find h(a –h). A. a2 + 2ah + h² – 9a + 9h C. a? - 2ah + h2 + 9a - 9h B. a2 - 2ah…

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Q: Find g(t)=abt if g(10)=50 and g(30)=25

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Q: Use substitution to find the indefinite integral. 5х +6 -dp- (5x2 + 12x) 3 S- 5x + 6 dx = 3 (5x2 +…

A: Given:Here f(x)=5x+65x2+12x3 To find:we have to find the integral by using substitution

Q: Use the Laplace transform to solve the given system of differential equations. dx dy + 7x + dt 1 dt…

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Q: Find f(t). 2s + 3 s2 + 4s + 13,

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Q: Let y=(x2-1)3 Find yn

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Q: f(t) = 2t2; t = 3, t = 3 + h

A: The given function is f(t)=2t2, t=3, t=3+h

Q: Find f(t). f(t) = 1₂ 1 8s + 17

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Q: g(t) = 6t – 1 -7

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