3 sine Q.4 Evaluate the following integral : de cos -sin?- | 2 2

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Q: 5) S dy 5.)

A: The given integral,      ∫28-y2dy

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A: Newton's formula is given by:xn+1=xn-f(xn)f'(xn)...(1)

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Q: Finding solutions with Integrating Factors 6. Solve (2xy*eУ + 2ху3 + у)dx + (x?у*еУ — х?у2 - 3x)dy…

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Q: Tutorial Exercise Find the indefinite integral. e2X dx Step 1 To solve the integral | e*V1- e2x dx,…

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Q: che given DE using the appropriate method. Show tests whenever possible. dy sa(sin? a – y)dx COS I

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Q: Simpson's Three-Eighths (Use n = 12) 9. So¹ (3x²+3) dx 10. (2 sin x + 3cos 2x) dx

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Q: Finding solutions with Integrating Factors 6. Solve (2xy*eУ + 2ху3 + у)dx + (x?у*еУ — х?у2 - 3x)dy…

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Q: USING APPROXIMATION METHOD FIND THE INTEGRATION OF THE FOLLOWING PROBLEMS: Use at least 6 decimal…

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Q: y In sin-1 e y' = A - On 4 – In z) sin- (G) A )I 4 – x² IT x-1 1 ® y' = x sin-1 V4 – x2 -

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Q: 1. Siste dx It sex x

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Q: 5. [-/1 Points] DETAILS LARCALCET7 8.3.043. Find the indefinite integral. (Use C for the constant of…

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Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!