Let X,Y,T be dotined poinds. Show that if Te X Ÿ then XY = %3D

Q: Given show =5 how dy %3D

A: differentiate y with respect to x .

Q: For x> 0, 음 S"규E dt = Itt? %3D

A: For x>0, we need to find ddx∫1x11+t2dt. Leibniz's rule for differentiation under the integral…

Q: If y = xsinx then prove that y''+y=2cosx

A:

Q: Show that Var (Y) = Var(ε₁) = 0².

A: Let us consider a simple linear regression. The equation of a simple linear regression model is:…

Q: that y?=x+ sin Cxy) - T 2 and let ß Be the value of dy evalwated atlxy

A: Given- y2=x2+sinxy-π24 To Find- The value of dydx at π2,1 and considering that value as β and then…

Q: Find Jeanetric mean bet meen √3 and Vi0

A:

Q: 3/4y +1 dy 2. Evaluate 0,

A: Given: ∫0234y+1dy Substitute, 4y+1=u dudy=4dy=14du =34∫udu ...........(1)

Q: Find a function flx) such that f(x) -llex and %3D 3. f(0)-- 주

A:

Q: 2) Evaluate: x Inx dx

A:

Q: Ex) Consider flx)=x^2", x= 1.7,2.0, 2.3,2.6,2.9 P foruard diff. central diff Backuard difp. find…

A:

Q: Prove: |I| = 1. %3D

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.