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:
(x-3)(x+3)
Step-by-step explanation:
We are given the expression 
:—
To factor this expression, we have a formula for it which is <u>difference of two squares</u>:—
You can also swap from 
to 
via multiplication property.
From the expression, factor using the formula above:—
Therefore, the factored expression is:—
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If you have any questions regarding the problem or need clarification of my answer/explanation, do not hesitate to ask in comment!
3x4= 12+2= 14 (the dot means multiplication) and i dont know further srry :(
Looks good to me but I’m not the best at math. Sorry I couldn’t be a huge help.
