+∞
∫ x · e ^(-x² ) dx = / The substitution: u = - x², x d x = - du / 2
-∞
+∞
= - 1/2 · ∫ e ^(u) du = - 1/2 · e ^(-x²) /
- ∞
e^(-∞) = 1 / e^(∞)
= -1/2 · [ 1/ e^(∞) - 1/ e^(∞) ] = -1/2 · ( 0 - 0 ) = 0
Answer:
Option A) Combined, with a saving of x-y cents
Step-by-step explanation:
We are given the following in the question:
The rate to mail a package is x cents for first pound and y cents for each additional pound.
Weights of packages =
3 pounds and 5 pounds
Cost of combined package:
Total weight = 8 pounds
Cost of sending separately:
Difference between cost of sending the packages separately and combined
Thus, sending the packages combined is a cheaper method with a saving of (x-y) cents
Thus, the correct answer is:
Option A) Combined, with a saving of (x-y) cents
To arrange numbers from least to greatest:
First write them down in decimal form. Now it will be easy to determine which value is greater than the other.
Arrange the decimal numbers from least to greatest.
Finally revert the decimal values to their fraction form having arranged them from one with least value to one with greatest value.
4x^2 + 5xy - y^2 = 6
Implicitly differentiating both sides,
4(2x) + 5(x y' + y) - 2yy' = 0
where y' = dy/dx
8x + 5xy' +5y -2yy' = 0
combining y' terms
y' (5x-2y) +8x +5y = 0
y'(5x-2y) = -(8x+5y)
dy/dx = -(8x+5y)/(5x-2y)
or
dy/dx = (8x+5y)/(2y-5x)
Answer:
99g
Step-by-step explanation:
I'm guessing on this one but maybe because a whole number has no remainder
