Answer:
Step-by-step explanation:
Add 5 to both sides of the equation.
y=1/16⋅(x−3)2+5
Simplify each term.
y=(x−3)^2/16+5
Use the vertex form, y=a(x−h)2+k, to determine the values of a, h, and k. a=1/16 h =3 k=5
Since the value of a is positive, the parabola opens up.
Opens Up
Find the vertex (h,k).(3,5)
Find p, the distance from the vertex to the focus.
4
Find the focus.
(3,9)
Find the axis of symmetry by finding the line that passes through the vertex and the focus.
x=3
The answer is 10.52 meters
4.39+6.13=10.52
hope this helps !
The feed conversion ratio is defined as the ratio of the total feed intake to the average weight of the animal.
The formula is given as:
Total feed intake(kg) / Average weight (kg)
Total feed intake = 2.7kg
Average weight = 1.9 kg
Hence,
Feed Conversion Ratio = 2.7kg/1.9kg
= 1.421
The correct option is a
To learn more, visit the link below:
brainly.com/question/13423712
Answer:
![\displaystyle \frac{d}{dx}[e^{2x}] = 2e^{2x}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Be%5E%7B2x%7D%5D%20%3D%202e%5E%7B2x%7D)
![\displaystyle \frac{d}{dx}[e^{3x}] = 3e^{3x}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Be%5E%7B3x%7D%5D%20%3D%203e%5E%7B3x%7D)
General Formulas and Concepts:
<u>Algebra I</u>
- Terms/Coefficients
- Exponential Rule [Multiplying]:

<u>Calculus</u>
Derivatives
Derivative Notation
eˣ Derivative: ![\displaystyle \frac{d}{dx}[e^x] = e^x](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Be%5Ex%5D%20%3D%20e%5Ex)
Derivative Rule [Product Rule]: ![\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bf%28x%29g%28x%29%5D%3Df%27%28x%29g%28x%29%20%2B%20g%27%28x%29f%28x%29)
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />
<u />
<u />
<u />
<u>Step 2: Differentiate</u>
<u />
<u />
- [Derivative] Product Rule:
![\displaystyle \frac{d}{dx}[e^{2x}] = \frac{d}{dx}[e^x]e^x + e^x\frac{d}{dx}[e^x]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Be%5E%7B2x%7D%5D%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Be%5Ex%5De%5Ex%20%2B%20e%5Ex%5Cfrac%7Bd%7D%7Bdx%7D%5Be%5Ex%5D)
- [Derivative] eˣ Derivative:
![\displaystyle \frac{d}{dx}[e^{2x}] = e^x \cdot e^x + e^x \cdot e^x](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Be%5E%7B2x%7D%5D%20%3D%20e%5Ex%20%5Ccdot%20e%5Ex%20%2B%20e%5Ex%20%5Ccdot%20e%5Ex)
- [Derivative] Multiply [Exponential Rule - Multiplying]:
![\displaystyle \frac{d}{dx}[e^{2x}] = e^{2x} + e^{2x}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Be%5E%7B2x%7D%5D%20%3D%20e%5E%7B2x%7D%20%2B%20e%5E%7B2x%7D)
- [Derivative] Combine like terms [Addition]:
![\displaystyle \frac{d}{dx}[e^{2x}] = 2e^{2x}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Be%5E%7B2x%7D%5D%20%3D%202e%5E%7B2x%7D)
![\displaystyle \frac{d}{dx}[e^{3x}]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Be%5E%7B3x%7D%5D)
- [Derivative] Product Rule:
![\displaystyle \frac{d}{dx}[e^{3x}] = \frac{d}{dx}[e^x]e^{2x} + e^x\frac{d}{dx}[e^{2x}]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Be%5E%7B3x%7D%5D%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Be%5Ex%5De%5E%7B2x%7D%20%2B%20e%5Ex%5Cfrac%7Bd%7D%7Bdx%7D%5Be%5E%7B2x%7D%5D)
- [Derivative] eˣ Derivatives:
![\displaystyle \frac{d}{dx}[e^{3x}] = e^x(e^{2x}) + e^x(2e^{2x})](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Be%5E%7B3x%7D%5D%20%3D%20e%5Ex%28e%5E%7B2x%7D%29%20%2B%20e%5Ex%282e%5E%7B2x%7D%29)
- [Derivative] Multiply [Exponential Rule - Multiplying]:
![\displaystyle \frac{d}{dx}[e^{3x}] = e^{3x} + 2e^{3x}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Be%5E%7B3x%7D%5D%20%3D%20e%5E%7B3x%7D%20%2B%202e%5E%7B3x%7D)
- [Derivative] Combine like terms [Addition]:
![\displaystyle \frac{d}{dx}[e^{3x}] = 3e^{3x}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Be%5E%7B3x%7D%5D%20%3D%203e%5E%7B3x%7D)
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
Answer:
-k
Step-by-step explanation:
- It's like saying what is 7-6
- so the answer is -k or -1k