Step-by-step explanation:
x*(dy/dx) +y = x*(dy/dx) +1*y=x*(dx/dy)+dx/dx*y = (d(xy) /dx)
d(xy) /dx = x^ex<->
d(xy) =xe^x*dx
We integrate both parts with their respective variables.
Integral of d(xy) is xy+c.
Integral of xe^x*dx is equal to xe^x - e^x+c.
We have to integrate by parts:
Integral(x*e^x) = x*e^x - integral((x) 'e^x) = x*e^x - integral(e^x)= x*e^x-e^x.
We have that xy + c = x*e^x - e^x + c1, where c and c1 are non defined real constants.
So we get that xy= x*e^x - e^x + c2, where c2 is a real constant.
Answer:
A
Step-by-step explanation:
Our equation is: 9² + 2[(5 + 2)² - 4]. We need to use PEMDAS: parentheses, exponents, multiplication, division, addition, and subtraction.
The first thing to do is to add the 5 and 2 in the parentheses:
9² + 2[(5 + 2)² - 4]
9² + 2[(7)² - 4]
Then square the 7:
9² + 2[(7)² - 4]
9² + 2[49 - 4]
Do the subtraction operation within the parentheses/brackets:
9² + 2[49 - 4]
9² + 2[45]
Square 9:
9² + 2[45]
81 + 2[45]
Multiply 2 by 45:
81 + 2[45]
81 + 90
Thus, the answer is A.
Maybe it could stand for 33 inches?
Answer:
3a+6
Step-by-step explanation:
3a+6 = 24a+48 divided by 8 (there are 8 sides in an octagon)
covert 24a +48 inches into feet
2a+4 feet = 18 feet
subtract 4 from both sides
2a = 14
divided 2 from both sides
a = 7
covert 3a+6 inches into feet
0.25a +0,5
0.25(7)+0.5
= 2.25
verify your answer
2.25 x 8 = 18
The answer is x = 4/3 (solved for x)