Answer:
Maximum Value: ∞
General Formulas and Concepts:
<u>Calculus</u>
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x² + x³
<u>Step 2: Find Derivative</u>
- Basic Power Rule: f'(x) = 2 · 3x²⁻¹ + 3 · x³⁻¹
- Simplify: f'(x) = 6x + 3x²
<u>Step 3: Analyze</u>
We see that our derivative is the graph of some sort of parabola. The parabola would be opening upwards.
Therefore, the maximum value of the derivative would be ∞, as the parabola's output <em>y</em> infinitely increases.
I think this is inconsistent because I got "y" by itself in both equations and not the slope nor the base number matched.
Answer:
D.
Step-by-step explanation:
You can set up and equation to solve for any cost like so:
5x + 20 = c
5x is the price for each hour
20 is the fixed fee
c is the total cost
Now let's use the price given to solve:
5x + 20 = 50
Subtract 20 from each side:
5x = 30
Divide each side by 5:
x = 6
The given data of 1/4"=1' is a fixed ratio to be used to find the scale factor of the true measurement of the room. The given measurements are only on the drawing scale. To know the actual area of the room, find first the equivalent length and width. Then, you multiply them to obtain the area.
Through ratio and proportion:
<span>1/4"/1' = 312312"/length
</span>length = 1249248'
1/4"/1' = 514514"/width
width = 2058056'
Thus, the actual area of the bedroom is
A = length×width
A = (1249248')(2058056')
A = 2.57×10¹² square feet
Answer:
30.9717685346
Step-by-step explanation:
