<u>Answer-</u> Length of the curve of intersection is 13.5191 sq.units
<u>Solution-</u>
As the equation of the cylinder is in rectangular for, so we have to convert it into parametric form with
x = cos t, y = 2 sin t (∵ 4x² + y² = 4 ⇒ 4cos²t + 4sin²t = 4, then it will satisfy the equation)
Then, substituting these values in the plane equation to get the z parameter,
cos t + 2sin t + z = 2
⇒ z = 2 - cos t - 2sin t
∴ 
As it is a full revolution around the original cylinder is from 0 to 2π, so we have to integrate from 0 to 2π
∴ Arc length
Now evaluating the integral using calculator,
Answer:
B (there is a negative correlation)
Step-by-step explanation:
the data set if you were put on a linear set, you be a negative and most of the points would fit through or around the slope. so it is a neagtive correlation
Every 5 minutes, you gain 4 gallons. 45/5 = 9, 9x4 equals 36, there would be 36 gallons of water in 45 minutes
ANSWER
EXPLANATION
The given points are:
(1, 4), (2, 9), and (3, 16)
It is obvious that the function is not linear because there is no constant difference among the y-values.
We can however manipulate the y-values to quickly identify the function.
We can infer from the pattern that, the function is;
