Answer:
L=22feet
w=19feet
Step-by-step explanation:
Perimeter(p)=82
Length=(L)
Width=(w)
P=2L+2w
2L+2w=82 .......(1)
L-w=3........(11)
From (11) L=3+w
Substitute L=3+w in (1)
2(3+w)+2w=82
Clearing brackets
6+2w+2w=82
6+4w=82
Collect like terms
4w=82-6
4w=76
w=76/4
w=19
Substitute w=19 in (11)
L-19=3
Collect like terms
L=3+19
L=22
I got 28
There is not parenthesis around the five meaning -5 squared would equal positive 25
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
Answer:
624
Step-by-step explanation:
the area of the triangles:
12*10 = 120
120/2 = 60
since there are 2 triangles of the same dimensions that make up the surface area 60 + 60 = 120
area of the rectangles:
13*14 = 182
since there are 2 rectangles of the same dimensions 182 + 182 = 364
The last rectangular:
10*14 = 140
add all areas:
120 + 364 + 140 = 624