1. in parts a and b, determine whether the set w is a subspace of r² with the standard operations. justify your answer. (a) w = {(x1,c2,4): x1 and 22 are real numbers } (6) w = {(s, t, s +t): s and t are real numbers} 2. determine whether the set of vectors p2 is linearly independent or linearly dependent. s = {-1+x²,5 + 2x} 3. determine whether the set s = {(5,6,5), (2,1, -5), (0, -4,1)} spans r. 4. determine whether s is basis for r. s = {0,0,0), (1,5,6), (6, 2, 1)}

step-by-step explanation:

one of the most important purposes of surface treatment is to alter surface properties according to the requirement of specific applications. for example, hydrophobic coating has been utilized on windshield and eyeglasses. gold atom monolayer on substrate has become a popular surface bioconjugation strategy.  

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional

answer is (b.

164 ft2)

a base  

18

b base  

7

h height  

8

ιт ιѕ $222.95

step-by-step explanation:

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тнєи ѕυвтяα¢т ιт fяσм $318.50-$95.55=$222.95

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