Just substitute in the number 3 for x then subtract 3 at both sides and youll have y=7
The tangent to 
at the point (0, 5) has a slope equal to the derivative evaluated at 
.
This tangent passes through the point (0, 5), so its equation is
The normal line passes through the same point, but is perpendicular to the tangent line, so its slope is the negative reciprocal of the slope of the tangent. So the equation for the normal line is
1500 x 60 = the number of cans made in one hour (90,000)
90,000 x 8 = the number of cans made in 8 hours (720,000)
720,000 x 300 = 216,000,000 ml of cola
Hope this helps you out!
The distance between the trains is changing at the rate of (70 -60) = 10 mph. They will be in the same place (45 mi)/(10 mi/h) = 4.5 hours after they leave their respective cities. They will be 10 miles apart both 1 hour before that time and one hour after that time.
The trains will be 10 miles apart 3.5 hours after leaving.
They will be 10 miles apart the second time 5.5 hours after leaving.
99.2 = 100 + 1/2 (99.2 - 100) / 100 = 10 - 1/2 0.8/10 = 10 - 0.04 = 9.96
