(a)
We have been given an equation . Upon taking derivative of this equation with respect to x on both the sides, we get:
(b)
In order to write the equation of tangent line, we need to find the slope of the line. We know that point (3,11) lies on the graph. Therefore, we write the slope of the tangent as:
Therefore, equation of tangent line is:
(c)
We know that slope of tangent is given as . The tangent will be vertical when denominator of slope is zero, that is:
Answer: 3:12 pm (C.)
Explanation:
The 4 train from battery park to e 161st is 35 minutes. However, it takes a few minutes to walk from the 161st stop to the stadium, so you would need to budget in extra time (so 3:22 would be too late even though it gets in before 4:00 pm). The best train would be the 3:12 because it would get in at 3:47, giving you plenty of time to walk from the station to the stadium.
The focusing of conscious awareness on a particular stimulus, as in the cocktail party effect (ability to attend selectively to only one voice among many). thats the answer
13.99 kilometers is the diameter.
Divide the circumference (43.96) by 2(pi), which should give you a radius of 6.99. You should then proceed to multiplying that by 2, since radius is half of the diameter, giving you 13.99.