Answer : curve r(t) = t i + (2t - t 2)k intersect the paraboloid z = x 2 + y 2
By the equation of r(t), x = t, y = 0, and z = .
Thus, z =
on solving we get,
=
Now, we can solve for t
= 0
So, = 0
2t ( t - 5/2) = 0
t = 0 , t = 5
plugging these values in t = 0 into r(t)
r(0) = <0 , 0 , 0>
r(5) = < 5, 0 , 25 >
Answer:
24 socks
Step-by-step explanation:
The given parameters are;
The number of different colors of socks = 3
Therefore, we have the worst case, the first three socks are different colors, since there are three different colors, the fourth socks is first pair in the worst case scenario
After which, every other two socks makes a pair in the worst case process, the number of socks he must take to make sure he has eleven pairs are given by the pairing table
Number of socks 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
Number of pairs 0 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11
Therefore, he must take 24 socks to make sue he has 11 pairs of the same color.
Hello
The answer is 3o excatly
Good luck!
Answer:
Y=7.5
Step-by-step explanation:
Y=2x^3 x=3 plug 3 in for x
y=2(3)^3
3^3=27 rewrite
y=2(27)
2(27)=54
y=54
Hope this helps have a nice nite