<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,

<span>12+3(8+x)
= 12 + 24 + 3x
= 3x + 36</span>
Answer: £225
Step-by-step explanation:
Let Sarah's amount be represented by x.
Since Caroline gets three times as much as Sarah, Caroline will get: 3x
Bridget gets twice as much as Caroline, therefore Bridget will get: 2 × 3x = 6x
Sarah = x
Caroline = 3x
Bridget = 6x
Total = x + 3x + 6x = 10x
Caroline's faction is 3/10. We then multiply the fraction by £750. This will be:
= 3/10 × £750
= 0.3 × £750
= £225
Caroline will get £225
Answer:
c = -4
Step-by-step explanation:
16 = 4 - 3c
subtract 4 from each side
16-4 = 4-4 - 3c
12 = -3c
Divide each side by -3
12/-3 = -3c/-3
-4 =c