Volume=legnth times widht times height
since this is a rectangle and multiplication is commutative
doesn't matter what order wr multiply
V=5*5*12
V=300 in^3
Answer:
y=-3x+10
Step-by-step explanation:
Use point-slope form first.
y-y1=m(x-x1)
Plug the numbers into that.
y+2=-3(x-4)
Distribute and simplify to convert it to y=mx+b
y+2=-3x+12
y=-3x+10
Answer:
cars rate of speed: 45 mph
Part B: d=45t
Step-by-step explanation: d=rt formula
r=45
585/13=45
Answer: Independent variable = c
Dependent variable = v
Step-by-step explanation:
- The independent variable does not depend on any other variable.
- Dependent variable dependent on another variable.
Given variables:
c = the number of Nora's coworkers who attend the picnic
v = the number of veggie burgers
Here the number of burgers required is dependent on the number of Nora's coworkers who attend the picnic.
Therfeore, Independent variable = c
Dependent variable = v
Answer:
D. undefined
General Formulas and Concepts:
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Chain Rule]: ![\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%20%3Df%27%28g%28x%29%29%20%5Ccdot%20g%27%28x%29)
Trig Derivative: ![\displaystyle \frac{d}{dx}[sinu] = u'cosu](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bsinu%5D%20%3D%20u%27cosu)
Derivatives of Parametrics: 
Step-by-step explanation:
<u>Step 1: Define</u>


<u>Step 2: Differentiate</u>
- [x Derivative] Basic Power Rule:

- [y Derivative] Trig Derivative [Chain Rule]:
![\displaystyle \frac{d^2y}{dt^2} = cos(t^2) \cdot \frac{d}{dt}[t^2]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%5E2y%7D%7Bdt%5E2%7D%20%3D%20cos%28t%5E2%29%20%5Ccdot%20%5Cfrac%7Bd%7D%7Bdt%7D%5Bt%5E2%5D)
- [y Derivative] Basic Power Rule:

- [y Derivative] Simplify:

- [Derivative] Rewrite:

Anything divided by 0 is undefined.
Topic: AP Calculus BC (Calculus I/II)
Unit: Differentiation with Parametrics
Book: College Calculus 10e