7. Use appropriate formula of geometry to evaluate the followings. L(lx – 3| + V36 – x²)dx b. L(2x + V1-x² + 3)dx a.

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Q: (1) Suppose you lift a stone that has a mass of 5.1 kilograms off the floor onto a shelf that is 2.5...

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Q: The derivative of the function y = tan(In(vx² – 6x + 1)) is: %3D

A: Formula:ddx(tan x) = sec2xddx(ln x) =1xddx(xn) =n xn-1

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A: The given functions,fu=tanu and g(x)=x8

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Q: B) prove du d 1. sec u = secu tan u %3D dx dx

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A: Use simple limit formula or L hospital rule.

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A: Solution:3y''+2y'+y=03D2+2D+1y=0Auxiliary equation 3m2+2m+1=0m=-2±22-4×3×12×3=-2±22i2×3=-1±2i3m=-13±...

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A: All result are true.  If nth sum of partial sum is going to zero then series is convergent. 

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Q: consider the following  5^3x+1=3^x-5 a) find the exact solution of the exponential equation in ter...

A: Question: consider the following    5^3x+1=3^x-5   a) find the exact solution of the exponential equ...

Q: Atone com emony cae phone plan tr2500. indudes 0 i pan2 pe mee tdn mi The ting tucon ges the atly t ...

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Q: Let U be the set of integers. Let A = {3,6}, B = {3, 8, 10, 12} and C = {6,8,10}. Perform the indica...

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Q: Use sigma notation to write the Taylor series about x = 8 for the function. 1 x +5 Σ k =

A: Taylor series of f(x) centered at x=a :           f(x) = ∑n=0∞ fn(a)n!(x-a)n = f(a)=f'(a)(x-a)+f''(a...

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Q: onsider the function f (x) = e". a. Show a derivation of the Maclaurin series expansion of f (x) = e...

A: Given problem:- Show a derivation of the Maclaurin series expansion of f(x) = ex

Q: 1 17. dx .2 + 4x + 5

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Q: The concentration of a certain drug in the bloodstream x hr after being administered is approximatel...

A: Find your answer below 

Q: the integral S(x³ – 2x – 1)e-*+1dx is equal to:

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.