Answer:
O f(x) = 2x3 – x+4 and g(x) = -2x + x - 6
Step-by-step explanation:
<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,

It's short in txt messages used as "by the way"
Answer:
y^3 =30
y= (30)^(1/3) ------(1)
z=10 -------(2) -----(2)
From (1) and (2);
(y * z)^12 = (y)^12 * (z)^12
= ((30)^(1/3))^12 * (10)^12
= (30)^(12/3)* (10)^12
= (30)^(4) * (10)^12
= 810 000 * (10)^12
= 81 * (10)^16
Step-by-step explanation: