4) Predict the acres per fire for a fire occurring in 2025. Is this a reliable prediction? Why or why not?

Q: 3. 2t t dt ST-t

A: To integrate the given vector function. ∫te2t, t1-t,11-t2dt...(1)

Q: p value is incorrect. please fix that!

A: Take t value from above given data t = 0.6004 df = 57.7 ~ 58

Q: Find yas a fon chenof x if t. %3D with

A: This is cauchy euler equation and we will solve it by changing the dependent variable

Q: -20/3<2/3x<4

A:

Q: 6. 2e* e3xdx

A: ∫2e3xe3xdx

Q: Show that the sum of a positive number and its reciprocal is at least 2.

A:

Q: lim (Vx2 + x (v. – x

A:

Q: 1/4x -7/8 < 9/8x - 7

A:

Q: 5x'e- dr O.r e

A:

Q: Find the linearzation to appraximate (1.999)^3

A: We have to find the value

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!