3 years ago

How to find the slope of a parabola at a given point?

1 answer:

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1. Find the equation.
2. Get two points.
3. Take the derivative of the parabola.
4. Use slope formula and set the slope of each tangent line to the point.
5.Equal the slope to (x,x^2)
6. Solve for x
8.Take the x-coordinates of tangency and plug each of the coordinates into y=x^2
9. Find the y-coordinates.

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I leave my family's vacation cabin at 8 a.m. and start driving home at a nice, safe 45 mph. Two hours later, my husband, who alw

Murljashka [212]

Answer:

2:30 pm

Step-by-step explanation:

In two hours (from 10am), she is 45 * 2 = 90 miles from vacation cabin.

From then on her average is still 45 mph and her husband's is 65 mph. So, husband catches her 20 miles (65-45=20) in every hour.

The husband has to catch up 90 miles. How long would it take if he is catching up at 20 miles an hour?

90/20 = 4.5 hours

So husband starts at 10am and 4.5 hours form that time is 2.30pm

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