Does the sequence {a} converge or diverge? Find the limit if the sequence is convergent. an =√4n Select the correct choice below and, if necessary, fill in the answer box to complete the choice. A. The sequence converges to lim an = n→∞ ... OB. The sequence diverges. (Simplify your answer.)

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Q: Q1. Let f(x, y) = 3xy +/- $. 1 8 (a). Find far(x, y). (b). Find fay(x, y). (c). Find fyy(x, y). 100⁰

A: we need to find out the partial derivatives.

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A: If is a function and then we say  if for any  there is  such that .

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Q: 10. Question: Find h(2) . Assume f(1) = 2, ƒ(2) = 0, ƒ′(1) = 3, ƒ′(2) = 4 . g(x) is given by the…

A: To find . Assume . is the graph given below.

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Q: 4 7. Find the equation of the tangent line to f(x) = x5 + √√x³ + v +//w when x = 1.

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Q: Calculate p'(1) if p(x) = (f(x) + g(x))¹.

A: The given function .The aim is to find the value of the derivative .

Q: Determine the direction in which the graph of the following parabola opens. f(x)=−5x^2+x+4 Up Down…

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Q: Evaluate the integral by reversing the order of integration. 4 64 ["h y 6e** dx dy

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A: A telescoping series is a series in which every element except for first and last term is cancelled.

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Q: 1a: Find the values of a and b, if any, that make f(x) continuous everywhere. If no such values of a…

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Q: Find the area between the curves. y=x2 − 9x + 3  and  y=x2 + 9  from  x=0  to  x=6

A: The region between the curves  from The graph of region

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Q: (a) y = 2x - x², -x², 1/2 ≤ x ≤3/2; about the x-axis.

A: since you have posted multiple question in this question which are not interlinked so i have solved…

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Q: If f(x)= = 3x5 – 5x4 – 3x³ x4 " find f'(x).

A: The given function

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Q: 5- 4+ 3- 2- 1 -1 -2 -3 -4 -5 J/2 Find lim f(x) XIT л 37/2 The graph of the function f(x) = cotx is…

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Q: 3. Solve the DE dp dt Р R(1-P) M = KP 1-- if k, M and m are constants.

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Q: f(x) = 3x5 — 25x³ + 60x on [−2, 3]

A: f(x)=3x5−25x3+60x on [−2,3]

Q: 1. Consider the second-order homogeneous linear differential equation, y"+p(x)y'+q(x)y=0 (a) Let y,…

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