Find the derivative of the function f(x) = f'(x) = sin x COS X N

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A: Please see the below picture for detailed solution.

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A: We are asked to find the which of the following does not test for divergence

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Q: 7. Which of the following is the Laplace transform of S In (²-¹) A. E. 1 s(s+1) B. In None of the…

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A: Topic = Functions

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A: Given ,    f(x) = Cos(kx) ..............(1) and     k= 3, x= 0.445 Then,   put value of k and x in…

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Q: 15. [cost dr =

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A: Given,            fx=x4 , x=1To find : Find the linearization of the given function.We know that,…

Q: Let f(x, y) ƒ(2, 1) = = 150 - 2x² - 4y2. Evaluate f(2, 1). Give answer in exact form. 138

A: given  f(x,y)=150-2x2-4y2for  f(2,1) , put x=2  and y=1 in f(x,y)

Q: lim x→0 In(1+x³) x.sin x²

A: To evaluate the given limit of function

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A: Accordind to question,given Matrix,A = 20402200-2

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Q: remains positive. It is modeled by the function e-t. alue of in the long run.

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Q: Use Calculus to find the behavior of g. g(x) = x³ - 3x²is restricted to the interval.x € [-1,4] 19.…

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Q: f(x, y) = x³ + 2y³ - 6x² - 150y Local maxima are Local minima are Saddle points are III m m m m

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Q: Consider the indefinite integral a) This can be transformed into a basic integral by letting U = du…

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Q: 36. Evaluate cos 20, given cos 4 sin == 0 5 = 3/5 ar

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: II. Solve the following differential equation. (i). y' = 1 + 3y tanx Ans. 3y cos³x = c + 3sinx −…

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Q: 1. It is a function f(t) for t> 0 is defined by the following integral over 0 to ∞. c. Piecewise…

A: Please see the below picture for detailed solution.

Q: 6) To evaluate the integral a) x = √12sece b) x = 12sine f (x²-12)² dx, we may use the trigonometric…

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Q: Use the Divergence Theorem to evaluate J where S is the sphere x² + y² + z² = 1. (11x + 9y + z²) dS

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Q: The inverse Laplace transform of A. e³t (3 cos(5 t) + 5 sin(5 t)) C. e-3t (3 cos(5 t) + 25 sin(3 t))…

A: we want to find L-1 [ 3s + 34s2 + 6s + 34 ]

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Q: Use Calculus to find the behavior of g. g(x) = x³ 3x²is restricted to the intervalr € [1,4] 19. g(x)…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: 7. Decide if the following functions are one-to-one. Prove your answers. (a) f(x) = x³ - 1 (b) g(x)…

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Q: 2x+14 Let A = {2 € Rz 4) and define f: AR by f(x) = 21. Is f a bijection? Explain. If f is a…

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