Lines y = −2x + 3 and y = 3x – 5 intersect the x-axis.
Answer:
When there are 108 presents, there are 60 candy canes
Step-by-step explanation:
candy canes : presents = 5:9
5/9 = x/108
cross multiply:
(5) (108) = 9x
540 = 9x, divide both sides by 9
x = 60
You can use the equation rise over Run you go up 4 and over 6 and you go down 2 and over 8 (im not sure if this helps)
<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,
