Division yields
Now for partial fractions: you're looking for constants <em>a</em>, <em>b</em>, and <em>c</em> such that
which gives <em>a</em> + <em>b</em> = 2, <em>c</em> = 0, and 2<em>a</em> = -7, so that <em>a</em> = -7/2 and <em>b</em> = 11/2. Then
Now, in the integral we get
The first two terms are trivial to integrate. For the third, substitute <em>y</em> = <em>x</em> ² + 2 and d<em>y</em> = 2<em>x</em> d<em>x</em> to get
Answer:
32 cm^3
Step-by-step explanation:
The cube is 4 across by 4 high by 2 wide
4*4*2 = 32 cm^3
Answer:
Step-by-step explanation:
Although you can start with 4x^2-2x-4=0, it's just slightly easier to reduce the coefficients. 4x^2-2x-4=0 becomes 2x^2 - x - 2 = 0.
The discriminant (part of the quadratic formula) is b^2 - 4ac. Using b = -1. a = 1 and c = -2, we get (-1)^2 - 4(2)(-2), or 17.
-b ± √(b^2 - 4ac)
Then the quadratic formula x = ---------------------------
2a
-(-1) ± √17 1 ± √17
takes on the values x = ----------------- = ---------------
4 4
The answer is Radical 6.
This is because if you use Cosine and the angle measured 30. You would put adjacent over hypotenuse, which is
Cos (30) = X/radical 8
Put this into your calculator to get Radical 6
First we'll multiply the second equation by -2
Now let's add the new equation and the first one.
We found y's value. We'll plug it in one of the equations to find x's value.
Solution ;
(9, -6)
