Answer:
We get that √48 = 2⋅2√3. Lastly, step three says to simplify, so we go ahead and multiply the 2⋅2 outside of the square root to get 4√3. That's it! We get that √48 = 4√3.
Step-by-step explanation:
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:
There are a couple of ways to do this. You could figure all four terms out and add them, which is likely the simplest way.
One: 6^(1 - 1) = 6^0 = 1
Two: 6^(2 - 1) = 6^1 = 6
Three: 6^(3 - 1) = 6^2 = 36
Four: 6^(4 - 1) = 6^3 = 216
Sum = 259
Answer:
Step-by-step explanation:
7x + 6 = 7x - 5
Collecting like terms
7x - 7x = -5 - 6
The x is canceled out so no solution
Answer:
A = $ 50,978.44
Step-by-step explanation:
First, convert R percent to r a decimal
r = R/100
r = 5%/100
r = 0.05 per year,
Then, solve our equation for A
A = P(1 + r/n)nt
A = 45,000.00(1 + 0.004166667/12)(12)(2.5)
A = $ 50,978.44