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: -12x Simplify 3 X - 5 X - 5 - 12x2 X#5 5(x-2)' -12x2 X#0, x#5 5(x-2) -12x2 X - 2 12r2 5(x+2)

A: Given equation -12xx - 53x - 5 + 2x

Q: 10. –2y - 5x =2 -5x = 2y - 4 %3D 3-2

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Q: 1 Imit |2 – x| x → 2

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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: 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: Express x = 31-!, y = 8t-2 in the form y = f(x). (Express numbers in exact form. Use symbolic…

A:

Q: lim (x3 +x

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

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

Q: +4x -4 いり-3 2y-4

A:

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

A:

Q: True or False The sum of the odd numbers is always an odd number.

A:

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: +-----------------------------------------+   |               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: x² -4 2x +7x +3 * 2x +5x +2 x' -8 3-8

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: 2. Match the differential equation with the correct direction field. I (a) y' y (b) y'= sin(ry) (c)…

A: The given differential equations are: a y'=xy b y'=sinxy c y'=x2-y2 d y'=x2+y2 We have to match the…

Q: then A-1 3 A =

A:

Q: -------------------------------------------------------------------------------------------+   |…

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Q: T -2 0 T 2 (5.0)

A: Given query is to find the interval where function is positive and negative.

Q: possible

A: Simplify the above question We can write 5=3+2

Q: {(-2, 7), (1, 3), (3, –3), (8, – 2)} А. Domain : {7, 3, —3, —2} Range : {-2, 1, 3, 8} В. Domain :…

A: The given set  A = {(-2, 7), (1, 3), (3, - 3), (8, - 2)}

Q: +--------------------------------------------------------------------------------------------+  |…

A: The objective of the question is to find the conditional probability that the US GDP stays the same…

Q: 479 {[|1 − 8 (+ 3) (+ 4)] : +21|-23 +2: (+7-3D-|+8-1-11|| 480 (14

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Q: Simplify x-1/2(x/5 – x) + (* ¬/5 – 1) (x^/?), -

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Q: (-3)^2+14/2*[(6-8)^3-(-4)] / [-|-2|^3-1+5^2]

A: -19/16  See solution in image Explanation:

Q: X-7y=-11 ---(1)  5x+ 2y = -18 ---(2)

A: Note:- As statement of problem is missing for given system of equations so we can solve system of…

Q: (G ) • (; -) • (; - })- (; -) • (; - ) - (; - })•( ). 1 1 1 is equal to what value?

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.