Hello! The answer to your question would be as followed:
The original number of cards + number of new cards per month * number of months; 112 + 5m; cards
Answer:
0.25
Step-by-step explanation:
Answer:
The solutions listed from the smallest to the greatest are:
x:
![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
y: -1 1 -1 1
Step-by-step explanation:
The slope of the tangent line at a point of the curve is:
![m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B%5Cfrac%7Bdy%7D%7Bdt%7D%20%7D%7B%5Cfrac%7Bdx%7D%7Bdt%7D%20%7D)
![m = -\frac{\cos 2\theta}{\sin \theta}](https://tex.z-dn.net/?f=m%20%3D%20-%5Cfrac%7B%5Ccos%202%5Ctheta%7D%7B%5Csin%20%5Ctheta%7D)
The tangent line is horizontal when
. Then:
![\cos 2\theta = 0](https://tex.z-dn.net/?f=%5Ccos%202%5Ctheta%20%3D%200)
![2\theta = \cos^{-1}0](https://tex.z-dn.net/?f=2%5Ctheta%20%3D%20%5Ccos%5E%7B-1%7D0)
![\theta = \frac{1}{2}\cdot \cos^{-1} 0](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%5Ccos%5E%7B-1%7D%200)
, for all ![i \in \mathbb{N}_{O}](https://tex.z-dn.net/?f=i%20%5Cin%20%5Cmathbb%7BN%7D_%7BO%7D)
, for all ![i \in \mathbb{N}_{O}](https://tex.z-dn.net/?f=i%20%5Cin%20%5Cmathbb%7BN%7D_%7BO%7D)
The first four solutions are:
x:
![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
y: 1 -1 1 -1
The solutions listed from the smallest to the greatest are:
x:
![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
y: -1 1 -1 1
Answer:
1, -5/2, 3
Step-by-step explanation:
Answer:
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Step-by-step explanation: