Find the Wronskian of the functions f(t) = 6et sin(t) and g(t) = et cos(t). NOTE: Your answer must be simplified. W(f,g) (t) =

Q: Suppose the position function of a particle is given r(t) = (√3 cos (t), t-4, √3 sin(t)). If the…

A: Given : r(t)=3cos(t), t-4, 3sin(t) is the position function of a particle. To find : If the particle…

Q: Let a<b. Use an important theorem to reason that t  | y(b) − y(a) | ≤ 3000(b − a).  The function is…

A: Step:- 1 Mean value Theorem :- Let f be a continuous function on [a, b] and function is…

Q: Ex find the FT of g(t) = sinwot

A: Given gt=sinω0t sinω0t=12ieiω0t-e-iω0t∴F.Tsinω0t=12iF.Teiω0t-12jF.Te-iω0t                 From…

Q: Find L{f(t)} by first using a trigonometric identity. (Write your answer as a function of s.) f(t) =…

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Q: Rewrite f(x) = 5 sin(3x) – 2cos (3x) in the form A sin (Bx + C). Round your final angle to two…

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Q: of of and da For the function f(t,a) = sin (4rt+ 7a), find - at

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Q: For F(t) = (3 cost, 3 sin t, 4t) find T,Ñ, and B

A: Given that : r→(t)=3cost,3sint,4t. Therefore, r'(t)=-3sint,3cost,4. So, r'(t)=9+16=5. Therefore,…

Q: Drive the following function for :(y) 3(sin(2xy))²

A: We have to find the derivative .

Q: The number of hours of daylight each day for a particular city can be modeled using the sinusoidal…

A: Function

Q: find ao for f(x)=cos 2 [0,2m] .a .b IT .C 2n .d 2

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Q: Solve the problem. For what values of t is r(t) = cos t i + sin t j + sqrt( 9- t2) k continuous?

A: A vector-valued function r(t) is continuous at t=a if and only if: 1. r(a) is defined. 2. limt→ar(a)…

Q: sketch the function y(t)= cos 5t

A: The  period of y(t) = cost  is 2π The period of y(t) = cos5t is 2π5   so the graph of y(t) = cos5t…

Q: Find f. f""(t)  =Cos t

A: To Determine: find f Given: we have f''''(t)=cost Explanation: we have…

Q: Find the harmonic function w(x, y) = ax2 + bxy + cy2 , in cartesian coordinates, that takes the…

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Q: Use a computer algebra system to graph the function. f(x, y) = sin 1/ x + cos 1/ x

A: To plot graph of given function.

Q: Draw the function F(x)= 2 (sin x - 2) [ 0,2π]

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Q: Consider the differential equation y' = 1 – y.

A: