Answer:
35
Step-by-step explanation:
Top box equals 10
(5x2)
Middle box equals 15
(5-2+2) x 3
Bottom box equals 10
(5x2)
The number of bacteria that will exist in 12 hours is 614,400.
Answer:
The solution is <u>-3</u>.
The graph is attached.
Step-by-step explanation:
To solve, first subtract 2 from both sides to get
. Now divide 5 from both sides to get
.
The graph representing this is attached.
Hope it helps and is correct!
Answer:
Equation of tangent:

At point (1,0):
y = 2.713
Step-by-step explanation:
The equation of tangent line to the function can be calculated by taking the first derivative.
We have,
![y = xe^{x}-e^{x}\\\frac{dy}{dx}=\frac{d}{dx}[ xe^{x} ]-\frac{d}{dx} [e^{x}]\\](https://tex.z-dn.net/?f=y%20%3D%20xe%5E%7Bx%7D-e%5E%7Bx%7D%5C%5C%5Cfrac%7Bdy%7D%7Bdx%7D%3D%5Cfrac%7Bd%7D%7Bdx%7D%5B%20xe%5E%7Bx%7D%20%5D-%5Cfrac%7Bd%7D%7Bdx%7D%20%5Be%5E%7Bx%7D%5D%5C%5C)
Applying Product Rule:
d/dx [u.v] = (d/dx u) . (v) + (u) . (d/dx v)
Therefore,

The above equation is the equation of tangent line.
The point given is (1,0):
So,
