In cylindrical coordinates, we take



so that
.
We have

and the integral is

Answer:
Option B. 1.8 seconds
Step-by-step explanation:
h=-16t^2+56t+1
This is a quadratic equation, and its graph is a parabola
h=at^2+bt+c; a=-16, b=56, c=1
Like a=-16<0 the parabola opens downward, and it has a maximum value (height) at the vertex, at the abscissa:

Replacing the known values:

Approximately 1.8 seconds.
Answer: It takes approximately 1.8 seconds the airplane to reach its maximum height.
Answer = B
Working = 13-(-4) = 17
Therefore the probability that the angle measure are supplementary are:120,60
Answer:
About 91%
Step-by-step explanation:
According to the box plot provided :
Total number of students = 40
Minimum weight = 152 pounds
Third quartile (Q3) = 245
The approximate percentage of students that weigh 245 kg or less
About 10 of the intervals out of the 11 coverage interval of the box plot fall between 152 and 254 ; Hence,
(10 / 11) * 100
90.90
= about 91 % of the total students weigh 245 kg or less