Example :- Find the deflection u (x,t) velocity string length L= T, C2=1, its ends fixed if the initial deflection f(x) and the initial velocity g(x) are:- 1- f(x) = 0 g(x) = 0.1 sin 2x g(x) = - 0.2 sin x 2 - f(x) = 0.1 sin x

Q: Let f(x) 6 sin x + 4 cos z Then f'(x) = The equation of the tangent line to y = f(x) at a = π/3 can…

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Q: 6. Find y' if y = ecotx? A. -2x [csc²(x²)] (ecotx") B. -[ csc (x*)] (ecotx") C. [cot(x²)]…

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Q: 8. Find the function Sthat satisfies the given conditions. )S"(=) = sin r – e-2" with S"(0) = } and…

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Q: TLP iadade mnts & smt Findf F'(t) =sec(t) (seclE)+ tan (ED), -st < f- FCt) = -<ts f (--7 2.

A: We simplify f'(t) by expanding  To find f(t) we integrate f'(t) C=integrating constant

Q: (a) Find the equation of the tangent line to the curvey 2 sec x- 4 cos x at the point , 2) %3D

A: Since you have posted a multiple  question according to guildlines I will solve first…

Q: The derivative of a function F (X, Y) at a point P_0 = (1,2) in the direction towards P_1 = (2,3) is…

A: Given That : The derivative of a function F (X, Y) at a point P_0 = (1,2) in the direction towards…

Q: (a) Use f(t) = a cos (b(t- c)) + d to model these conditions. (b) Evaluate f(1) and f(7). (a)…

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Q: Q2// A) Derivative following functions by using chain rule m 1) y = Vu, 2) y = 4u, -Va+1 Vx+1

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Q: The acceleration of a particle as it moves along a straight line is given by a-21 -1. Ifs 1 and y- 2…

A: Given the acceleration of a particle as it moves along a straight line is given by a=2t-1 m/s2, If…

Q: true or false prove your answer If (an) is Cauchy and p is a number such that for infinitely many…

A: Given that              an is a Cauchy sequence and p is a number such that for infinitely many…

Q: x(t) = Find real-valued closed formulas for the trajectory x(t + 1) = Ax(t), where -4 ^-[33] -4…

A: This is an homogeneous linear differential system. We will solve by this using eigenvalues and…

Q: 3 Parameterize y(x) = +1 using x = t sin x Ans=

A: The answer is: y(t) = (-3/sin(-3/sinx) + 1)) + 1Explanation:To answer this question, you just have…

Q: f'(x) = = Lº 1 + sec(7t) dr f(x) = sec (2) + 6 X Vì Hint: +== f*√²- 1 + sec (7t) dt = - √1+ sec(71)…

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Q: Y(6) = cot(5s)- 3 tan s - csc (5s)- 3 sec' s s:y (s) |

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Q: For each of the following sequences, if the divergence test applies, either state that lim an does…

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Q: f(x) = sec x As x = π-/2, f(x) =  As x = π+/2, f(x) =

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

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Q: a)Use the second derivative test to determine whether the function has a local maximum or local…

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Q: (b) If f (2) = (249 + 8) e8ɛ, then at how many points the function f (2)is not differentiable? (c)…

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