Answer:
∫ C ( y + e√x) dx + ( 2x + cosy² ) dy = 1/3
Step-by-step explanation: See Annex
Green Theorem establishes:
∫C ( Mdx + Ndy ) = ∫∫R ( δN/dx - δM/dy ) dA
Then
∫ C ( y + e√x) dx + ( 2x + cosy² ) dy
Here
M = 2x + cosy² δM/dy = 1
N = y + e√x δN/dx = 2
δN/dx - δM/dy = 2 - 1 = 1
∫∫(R) dxdy ∫∫ dxdy
Now integration limits ( see Annex)
dy is from x = y² then y = √x to y = x² and for dx
dx is from 0 to 1 then
∫ dy = y | √x ; x² ∫dy = x² - √x
And
∫₀¹ ( x² - √x ) dx = x³/3 - 2/3 √x |₀¹ = 1/3 - 0
∫ C ( y + e√x) dx + ( 2x + cosy² ) dy = 1/3
Answer:
Step-by-step explanation:
A grocery store has a 13%-off sale on all bread.
Let b represent the original price of a loaf of bread.
This means that the amount by which the price of bread was reduced would be
13/100 × b = 0.13 × b = 0.13b
The new price for the loaf of bread would be
b - 0.13b
you decide to purchase 6 loaves of bread. The expression would be
6(b - 0.13b)
Expanding the expression, it becomes
6b - 0.78b
Answer: Therefore, the geometric mean of 8 and 18 is 12. Therefore, the geometric mean of 8 and 18 is 12.
Step-by-step explanation:
Answer:I think no, because 25+35+45=150. 150x3=450
Maybe, for 4 months he'd have enough. So, 150x4=600. So Jamal would have some extra money!
Step-by-step explanation:
Answer:
54 m
Step-by-step explanation:
Alrighty, what have we here: an area of 162 m² and a width of 9m.
So: A=162m², W=9m, let's draw this: (see the screenshot attached)
Using the formula for area (Area = width x length) we see that:
Thus: (equating to L by dividing both sides by 9m)
⇒ 
Now we have all of our dimensions, we can use the formula for the perimeter to calculate it:
And there we have our answer.
