Answer:
A
Step-by-step explanation:
Answer:
All real numbers
Step-by-step explanation:
we have the function

This is a vertical parabola open upward
The vertex represent a minimum
Remember that
The domain of a function is the set of all possible values of x
The quadratic functions are continuous and defined for all real values of x.
therefore
The domain of the function f(x) is the interval (-∞,∞)
That means
All real numbers
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

The answer is $41.12
(Work is below)
First add the total of the vase and shipping-
Vase: $34.99
Shipping: $ 3.00
+__________
$37.99
Then calculate sales tax by multiplying $37.99 x 0.0825 -
Above Total: $37.99
Sales Tax Rate: $ 0.0825
x__________
$ 3.1341
You round down because ^ less than five (five or above you would round up)
Sales Tax: $3.13
Then you add the sales tax to the above total
Vase: $37.99
Shipping: $ 3.13
+__________
$41.12