Consider the following subset of R": W = {(x1,x2, 83, L4, 25) E R° | r1 = x2 = 13, 14 + 15 = 0}. (a) Prove that W is a subspace of R°.

Q: 2-{-7+4[(3-5)2-22

A: Solution  2--7+4[(3-5)2-22] First we will solve inner bracket then outer bracket  Therefore…

Q: 4 + (-7) + (-5)= 10 + (-3) + (-8)= 85 + (-15) + (-20) + 12= 60 + (-50) + (-30) + 25= 17 + (-4) + 2 +…

A: To simplify the given additions and subtractions:

Q: What linear function can be represented by the set of ordered pairs? {(-4, 15), (0, 5), (4, -5), (8,…

A: we have to determine that which linear function can be represented by the set of ordered pairs…

Q: then A-¹ = A = [ 3² ],

A:

Q: Find the domain of the following expression and write your answer in interval notation.. 5-x 9x2…

A:

Q: Find the day of the week you were born, and of your birthday this year.

A: We assume that on the date 01.01.01 the day was monday.  Now, from start of the years (01.01.01), We…

Q: Suppose f(x) is a function with a critical point at x = 1. The graph of the second derivative of f…

A: Given, f(x) is a function with a critical point at x = 1.     Introduction: If x = a is a critical…

Q: -6-5[-4-(6-12)]+(-5)

A: To Solve : -6-5[-4-(6-12)]+(-5)

Q: 8<3r-1<-1

A:

Q: 5-x/3+x=13/12

A:

Q: xp_G + +*) (; - x),J (

A:

Q: For ((3,5), (4, -2). (x, 3), (0.-6)} to be a function, which should not be the value of x? 0-2 O 5…

A: Solved below

Q: My birthday is on February 20, 2000 Find the day of the week you were born, and of your birthday…

A: According to the Zeller's Rule  F=k+ [(13*m-1)/5] +D+ [D/4] +[C/4]-2*C where k is the day of the…

Q: ((-25) + (-5)) – (-10) - 16 + (6 + 2) )-(8-)-a-(-) ( (-8) + 8 + (–1)³

A:

Q: (-8,-2) n(-4, 8) = (-8,-2) U (-4, 8) =

A:

Q: A™ and B-1 ·|· = = (AB)-1 [: -5 0 -1 5 42

A:

Q: 1. (-2, 3); (4, 3) 2. (-5, 3); (-5, 9)

A: Explanation and solutions is given below....

Q: 2х, +3х2 +3*2 = 7 -х, +2х2 +3*2 = 8 Ха -X2 +2*3 = -1 =8

A:

Q: +-----------------------------------------+   |               Y_increases   Y_decreases |…

A: The table shows the joint probabilities of increasing and decreasing.

Q: If A= 12 9 -4 12 } find A-1.

A:

Q: Find and sketch the domain of the function In(x + y) f(x, y) 1– y?

A: From the given information. The function in x and y is as follows. fx,y=lnx+y1-y2

Q: 23 Which set of ordered pairs represent a function? {(-1, 3), (2, 7), (1, 7)} ® {(-1, 3), (-1, 7),…

A:

Q: On a number line, the distance of a number x from -3 is 5 units. Which equation and which number…

A: Basic inequality problem

Q: Select all of the following graphs which represent y as a function of x. 5+ 4 -5 -4 -3 12 3 4 -2 -3…

A:

Q: Let F ={ (-6,4),(-5,3),(4,-6),(3,-5),(1,5),(2,6),(-3,5),(-8,2),(6,4)} G=…

A: Given sets are  F ={ (-6,4),(-5,3),(4,-6),(3,-5),(1,5),(2,6),(-3,5),(-8,2),(6,4)}G=…

Q: 19

A: it is vertical parabola.

Q: {(3, 2), (5, −1), (6, 7), (3, −8), (4, 2)}{(3, 2), (5, −1), (6, 7), (3, −8), (4, 2)} Which set of…

A:

Q: Which set of ordered pairs does not represent a function? »(10)(3-7) (7.9) (3-10} {(-3,-8). (-1,-6).…

A:

Q: 7 ex ex - 5

A: we have to find the derivative of the function f(x)=7ex6ex-5

Q: 5-29-3y=1-x

A:

Q: Which is the inverse of the relation {(-2,5), (-1,3), (0,-1), (1,-3), (2,-5), (3,-7)}? O {(5.-2).…

A:

Q: Find x if we are given that * = -101

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.