Which is the best approximation to a solution of the equation e x = 2x + 3?
2 answers:
Answer:
Step-by-step explanation:
Given that an equation in variable x as follows:
Let us start with x=0
We have left side = 1 and right side = 3.
Error = 2
ii) x=1: left side = e =2.718 and right side = 6.
Error = 3.282
iii) x =2: Left side = 7.388 and right side = 7
Error = 0.388
iv) x=3
Left side = 20.079
Right side = 9
Error = 11.079
Since error is the least when x=0, we can say 0 is the best approximation.
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Answer:
AB = BC = 4
Step-by-step explanation:
This is a 45-45-90 triangle (right isosceles). This means that the side ratio is
1:1:, where AC is sqrt 2, and AB and BC are 1. Now, we need to plug this into our ratio. If sqrt 2 is 8, then 1 is x.
8/ = x/1 = x
x = 8/ = 4
(rationalized)
AB and BC are both 4 * sqrt 2