First take note of the domain of <em>f(x)</em> ; the square root term is defined as long as <em>x</em> - <em>x</em> ² ≥ 0, or 0 ≤ <em>x</em> ≤ 1.
Check the value of <em>f(x)</em> at these endpoints:
<em>f</em> (0) = 0
<em>f</em> (1) = 0
Take the derivative of <em>f(x)</em> :
For <em>x</em> ≠ 0, we can eliminate the √<em>x</em> term in the denominator:
<em>f(x)</em> has critical points where <em>f '(x)</em> is zero or undefined. We know about the undefined case, which occurs at the boundary of the domain of <em>f(x)</em>. Check where <em>f '(x)</em> = 0 :
√<em>x</em> (3 - 4<em>x</em>) = 0
√<em>x</em> = 0 <u>or</u> 3 - 4<em>x</em> = 0
The first case gives <em>x</em> = 0, which we ignore. The second leaves us with <em>x</em> = 3/4, at which point we get a maximum of max{<em>f(x) </em>} = 3√3 / 2.
Answer:
The percentage is 36%
Step-by-step explanation:
We are given
Shade the grid to represent the ratio 9/25
so, we have ratio as
we know that for finding percent , we multiply ratio by 100
so, we can multiply by 100 here
now, we can simplify it
So,
The percentage is 36%
Answer:
1. B
2. C
3. A
4. D
Step-by-step explanation:
The parametric equations of the circular cylinder are:
If the orientation of the cylinder is changed to have the height along the x-axis, the parametric equations of the cylinder match:
The parametric equations of the circular paraboloid are:
Using the units vectors the parametric equations match:
The parametric equations of the cone are:
Using the units vectors and rotating the base of the cone from to the parametric equations match:
The equation left is the equation of a plane:
Answer:
.
Step-by-step explanation:
Answer:According to my calculations, an item with an original price tag of $54.50 that is marked down by 20% will have a sales price of $43.60 -- a savings of $10.90.
If you include the sales tax savings ($0.82 ) your total savings would add up to $11.72.
Step-by-step explanation: