Answer:
Given equation of parabola is
and
2
=64x ......(i)
The point at which the tangent to the curve is parallel to the line is the nearest point on the curve.
On differentiating both sides of equation (i), we get
2 y
dx
d y
=64
⇒
dx
d y
=
and
32
Also, slope of the given line is −
3
4
∴−
3
4
=
and
32
⇒and=−24
From equation (i), (−24)
2
=64x⇒x=9
∴ the required point is (9,−24)
Explanation:
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Answer:
Answer = 410.02277904328
Explanation:
1,800 N * = 410.02277904328 m
hope this helps.
Answer:
See below.
Explanation:
The mass of octane in the sample of gasoline is 0.02851 * 482.6 = 13.759 g of octane.
The balanced equation is:
2C8H18(l) + 25O2(g) ----> 16CO2(g) + 18H2O(g)
From the equation, using atomic masses:
228.29 g of octane forms 704 g of CO2 and 324.3 g of H2O
So the mass of CO2 formed from the combustion of 13.759 g of octane = (704 * 13.759) / 228.29
= 42.43 g of CO2.
Amount of water = 324.3 * 13.759) / 228.29
= 19.55 g of H2O.