3x^3(2-z)(4+2z+z^2)
this is correct if the problem is 24x^3-3x^3z^3
Middle number between .5 (1/2) and .75(3/4) is 0.625 = 5/8= 62.5 percent
Answer:
Step-by-step explanation:
a)
time = distance/speed
time = 800,000,000/42,516
time = 18816 hours
Answer:
1) Square
2) Trapezoid
3) Rectangle
4) Parallelogram
Step-by-step explanation:
Quadrilaterals must have exactly 4 sides.
The shapes in a square must have 2 pairs of parallel sides, 4 right angles, and 4 sides of equal length.
The shapes in a trapezoid must have at least one pair of parallel sides. The shapes in Group D must have 2 pairs of parallel sides and 4 sides of equal length.
The shapes in a rectangle must have 2 pairs of parallel sides and 4 right angles.
The shapes in Parallelogram must have exactly 2 pairs of parallel sides.
Answer:
![\displaystyle \frac{d}{dx}[3x + 5x] = 8](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5B3x%20%2B%205x%5D%20%3D%208)
General Formulas and Concepts:
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Multiplied Constant]: ![\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bcf%28x%29%5D%20%3D%20c%20%5Ccdot%20f%27%28x%29)
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>

<u>Step 2: Differentiate</u>
- Simplify:

- Derivative Property [Multiplied Constant]:
![\displaystyle y' = 8\frac{d}{dx}[x]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%20%3D%208%5Cfrac%7Bd%7D%7Bdx%7D%5Bx%5D)
- Basic Power Rule:

Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation