Answer:
y(x) = 7e^(5x)
Step-by-step explanation:
The question says that the slope of the curve at every point P is five times the y-coordinate of P. This means that
dy/dx = 5y
Refer to solutions of differential equations, dy/dt = ky, being in the form of y(t) = y(0) e^(kt)
Using the above stated law now, we can relate to our equation, saying that
y(x) = y(0) e^(5x)
The point given from the question is, (0, 7). This also means that y(0) = 7. So finally, we can have
y(x) = 7e^(5x)
And that is our needed equation of the curve
Answer:
Step-by-step explanation:
I CANT SEE A THING ON THE IMAGE ON THE DOCUMENT, SEND ANOTHER PIC SO I CAN SOLVE IT FOR YOU !!!!!!!
![\huge \bf༆ Answer ༄](https://tex.z-dn.net/?f=%5Chuge%20%5Cbf%E0%BC%86%20Answer%20%E0%BC%84)
Here's the solution ~
Area of floor is ;
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:10 \times 12](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3A10%20%5Ctimes%2012)
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:120 \: ft {}^{2}](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3A120%20%5C%3A%20ft%20%7B%7D%5E%7B2%7D%20)
Area covered by rug is ;
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:90 \: ft {}^{2}](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3A90%20%5C%3A%20ft%20%7B%7D%5E%7B2%7D%20)
So, the percentage of floor covered by rug is ~
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \: \dfrac{90}{120} \times 100](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3A%20%5Cdfrac%7B90%7D%7B120%7D%20%20%5Ctimes%20100)
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \: \dfrac{3}{4} \times 100](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3A%20%5Cdfrac%7B3%7D%7B4%7D%20%20%20%5Ctimes%20100)
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:3 \times 25](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3A3%20%5Ctimes%2025)
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:75 \%](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3A75%20%20%5C%25)
Answer:
0.35
Explanation:
<u>Follow the branch B and then branch D</u>
- multiply both the selected probabilities to calculate total probability.
Answer:
0
Step-by-step explanation:
A horizontal line has a slope of zero and a vertical line has an undefined slope