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
<h3><u>Answer:- </u></h3>
<h3><u>Solution</u> :-</h3>
The unit of mass is kg and unit of Volume is m³ . Since density is division of mass by volume , the corresponding units will also get divided and unit of density would come out to be kg/m³
<u>Some basic </u><u>derived </u><u>Units :- </u>
- area => m²
- volume cubic meter => m3
- speed meter per second => m/s
- acceleration => m/s²
- mass density meter => kg/m3
- specific volume cubic meter per kilogram m³/kg
2) 1.2 x 10,000 - 1.5 x 1,000 - 2.2 x 100 = 10,280
3) 7.3 x 100,000 + 1.6 x 1,000,000 + 4.7 x
100,000 = 2,800,000
4) 8.2 x 10,000 - 2.4 x 10,000 - 1.5 x 1,000 = 56,500
5) 2.4 x 1,000 + 3.4 x 10,000 + 1.5 x 1,000 = 37,900
6) 6.2 x 10,000 - 3.4 x 100 - 7.5 x 1,000 = 54,160
7) 8.3 x 100,000 + 1.6 x 10,000,000 + 6.7 x 10,000 = 16,897,000
8) 8.0 x 1,000 - 0.8 x 1,000 - 1.2 x 100 = 7,080
Answer:
x = -7, y = -9
Step-by-step explanation:
The coefficient (the number before) the y is the same but the signs are opposite so add the equations together:
x-3x+y-y=-16+30
-2x=14
x=-7
y=-16-x=-16--7=-9
Answer:
∠2 = 78°
Step-by-step explanation:
Angle of a straight line is 180°.
So, that would mean ∠1 + ∠2 = 180°.
⇒ ∠2 = 180° - ∠1
⇒ ∠2 = 180° - 102°
⇒ ∠2 = 78°
Hence, the answer.
