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
<span>lengths are in ratio 1:3
areas are in ratio
1 : 3</span>²<span> = 1: 9
area of ADG = 9 x 42 = 378 </span>
8/10 and 48/60 are equivalent because you can see the 48/60 can divide by 8/10 is 6, you just have to see if the larger fraction can divide the smaller one.
21.7²=17²+13.5²
21.7²=289+182.25
21.7²=471.25
21.7=√471.25
21.7=21.7
22(to the nearest whole number)
