10. Determine three positive numbers whose sum is 48 and such that their product is as large as possible. answer: 16, 16 ,16

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A: We will find the required result by using limit theorem.

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A: To evaluate the given integrals.

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A: The given integral is ∫13x-32x2+e2+x2dx  

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Q: 2х-4 . lim e x+1 -22х-5 n--00

A: Topic:- limit calculation

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A: Note : As per our guidelines we are supposed to answer only one question if there are multiple quest...

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Q: 3. Show that for p> 1 and r E (0, 1), the integral below converge: dt tp

A: by limit convergence test we cab prove this, we have to treat the definite integral as summation fro...

Q: 3T 3Tt and <B< 2n. Find a) sin(a +B) b) cos(a+r) 4.Suppose sina = – and cosß = 13 where π<α<. 2 35

A:

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A: for question we can use properties of right angle triangle 

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A: Let's find. 

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A: The given integral,      ∫33316x-33dx

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A: We apply the given value to find the given integral . Follow 2nd step.

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A: Taylor series of function fx at a is defined as:       fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+…=8+ddx...

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Q: 11. In y = e" sin x

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Q: 1) Assuming that the pattern of the first few terms continues, find a formula for the general term a...

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Q: Activity 2. valuate the following its by applying thê different Theorem discussed. 1. lim (3x – 2)(x...

A: To evaluate the limit using the different limit theorems.

Q: compute the value of the following improper integral. If it is divergent type D. dr (5x+1)

A: To compute the value of improper integral: I=∫1∞1(5x+1)2dx...(1)  

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A: In this question we have to find the equation of tangent line.

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A: Rate of change of function

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A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

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Q: 12 dr r3 – I

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A: