Verify that ||v-w||^2=1 when ||v||=2, ||w||=1, and v*w=2

Q: {-) Evaluate the domain of f(x)=Ven(Sx-XE)

A: The given function is f(x)=ln5x-x24

Q: Let In, f be real fun ction on 52.Show {w : fu(w) yo frw) }=Ŭ o U {w-1fu(w) %3D f(w)1>と3

A:

Q: 19. The 68-95-99.7 Rule. A set of test scores is normally distributed with a mean of 100 and a…

A: Note: As per instruction solving D-FGiven information,population mean = = 100Population standard…

Q: Let V be a vector space, and let W₁,. Let W = .... W₁ + + Wk = {w₁ + + wkw₁ € W₁, ..., wk € Wk}. (a)…

A:

Q: Let Z∼N(0,1). Find P(-2<Z<1).

A: From the provided information,Z~N (0, 1)The probability P (-2&lt;Z&lt;1) need to be calculated.

Q: Rind the Domain Jx-3 x2 16

A: Given query is to find the attached domain of the expression.

Q: Show that /I +x 0.

A: Mean value theorem: Let f be a function satisfying the following properties: 1. f is continuous on…

Q: 1- Suppose A=

A:

Q: find all real such that 12x-11>x

A: The inequality can be calculated using absolute values. The absolute value function takes a positive…

Q: Verify the rule by differentiating. Let a &gt; 0.

A: the given rule is: ∫duuu2-a2=1aarcsecua+C where C is constant of integration.

Q: evalnante the folobwing integrationollowing a fferent Path C I'm troid.cpathz pathi Re (3,-2) path3

A: Note:- For part (3) it is not clear that the term written with sint (or coefficient of sint ) is "I"…

Q: Use a formula to express w as a function of t if w - V4s + 5 and s- ef - 1.

A:

Q: Soluti 03 16. A 11 22 1 Let Ax- b be a linear svstem of n eauations in n unknowns, and assume that A

A: Given: A = 03-2114225, b = 75-2  and Ax = b To find: The value of matrix x.

Q: Let A =[1 -1]            [2 0] and --->x =[ i]                  [1 + i] . SHOW that Re (A--->x )…

A:

Q: |u|> c is true for all real numbers if c _ 0.

A: |u|&gt;c is true for all real numbers if c ____ 0.

Q: Is defined for some value of s?

A:

Q: Let f=​{(0​,8​),(5​,0​),(9​,4​)}. Find f(0)

A: We have given f.  We have to find f(0)

Q: Find the value of: 2 100 ;] [*] + x + 100 ] + [~ + + ++ 99 100

A:

Q: Write down the first order and second order conditions for maximum and minimum of a function y =…

A: Given,  Function y = f(x1, x2, x3,  .  .  .  , xn). To find the first order and second order…

Q: Let f = {(1, 2), (3, 4), (2, 6), (5, 9}. Find the domain of f

A: Given function  f = { ( 1 , 2 ) , ( 3 , 4 ) , ( 2 , 6 ) , ( 5 , 9 ) }

Q: Let f :[-2,6] R be the function given by * if - 2sx<0 if 0sx< 2 4 -x if 2 sxs6. f(x) = 2.x For each…

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Q: c) Evaluate ſ x*(In x)²dx

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Q: = Let p¹²-2x+1, p² = 3 +3x+1 and p35x + 10. Let = x³-3x + 4. Is q in me span of pl,p2 and p3?

A:

Q: Let x &gt; 0 and b &gt; 0. Show that

A:

Q: Let f(x,y,z,w)=45x3z-1/y+wz3. Evaluate f(a,b,c,d) where a,b,c are non-zerol real numbers

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.