Simplify 5x-3-7 to -2x-3
-2x-3=15-x
Add 2x on both sides
−3=15−x+2x
Simplify 15-x+2x to 15+x
−3=15+x
Subtract 15 on both sides
-3-15=x
Simplify -3-15 to -18
-18=x
X=-18
This cannot be simplified anymore
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.
Just find the surface area. 5*7=35, but 35*2=7<span>0</span>, because the top and bottom. Then do 7*3*2=42, for 2 parallel sides, and then 3*5*2=30. Now add 70+30+42=142 square inches. There's your answer.
