1 Use linearization to estimate (0.98)³*

Q: In(a/b) = ln(a)/ln(b) for all a, b>0 O True O False

A:

Q: Let X be exponential with mean 1/^; that is, fX(x) = λe^(-Ax), 01].

A: Let  be exponential distribution with mean .Its PDF is given by,Where,  is a parameter.

Q: Calculate approximate value y = x* at x = 2,003

A:

Q: Compute −∞∫+∞​ x^n e^(−x)^2 dx  for all n∈N

A: Assuming the improper integral is convergent.

Q: 2.269910988417 x 10^23 so what will i use to bring it down to under 100 ? how to divide it ?

A: so to bring it down 100 we just divide it by number x we now have to find the value of x

Q: L, x*e*** dx 3+1

A: 3.1) ∫-12x2e(x3+1)dx Let u=x3+1 du=3x2dx

Q: 3. pVQ pra ovd vr pVr 4. prq=>p^r

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Q: If the pdf is e^tx/2a -a < x < a, Find the generating function(express your answer in simplified…

A: Given:

Q: (1 A = 0 -1 0

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Q: dx |

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Q: a.create the 4th Taylot polynomial for f(x) = e^x around a = 1. b. use your polynomial from part…

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Q: 1(5)

A: Given:The given function is .To Find:We have to find the Laplace transform of the given function.

Q: If f(x)=5+2(x-1)^1/2, does f(x) satisfy all the conditions of the mean value theorem in the interval…

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Q: =P(B) =P(A/B) = fnd P (B/A) and P (B/A^) P(A/B) = find P (B/A) and P (B/Aº) %3D

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Q: Is it possible to take the antiderivative of (e^x - 3x)^9 * (e^x + 3)^10 ? If it isn't, can you…

A: Solution of the problem as follows

Q: The peppers in our sample took an average of = 71.3 days to mature. We compute a z-value and find…

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Q: (10) -(10*) dx 10 A In10 B x(10) *-1 10*in10 D (10)*-1

A: Given data÷

Q: d dx (f³x²) = ○ 6x63x² (In b) ○ 6³x² (6 ln b) 6x6³x² ○ xb³x² (ln(6b))

A:

Q: -Tt /12 SK1 tan* (3x) dx

A: We have to compute the integral  . First, consider the integral . We can write it as:

Q: "INT" function (alternative name is "Floor" function) returns integer value closest to the Input…

A:

Q: 17. L 3e" cosh( 40) =

A: This is a problem of Laplace transformation. We solve in next section.

Q: ar approximation or differential to approximate the value of 10 using the fact

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Q: Given r^2=0.9316, SST=60.55   Compute: SSR= SSE=

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Q: find integal x over square root 4+x dx by any method.

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Q: If f(x) = 4 ln(5 + x), ƒ'(x) = ƒ'(1) =

A: f(x)=4ln(5+x)

Q: PMT PMT РМT +100 + 100 = (1.05263)' (1.05616)² ' (1.06359)³

A: Let x=PMT

Q: If e^y = ((1+x)/(1-x))^O.5 then dy/dx = * (x/(1– x^2 %3D True False

A: Given that ey=1+x1-x0.5. Taking natural logarithm on both sides, lney=ln1+x1-x0.5⇒y=0.5ln1+x1-x…

Q: Q5// Evaluate *x5*(1+ln x)dx.

A:

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!