Answer:
156 [in²].
Step-by-step explanation:
1) total area consists of six parts (all the details are in the attachment):
A=2A₁+2A₂+A₃+A₄;
2) according to the formula above:
A=2*5*3+2*0.5*(6+12)*4+6*3+12*3=156 [in²].
Answer:
Dan = 68
bobbi = 62
Step-by-step explanation:
Let Bobbi's height = b
Let Dan's height = d
the following equations can be determined from the question
b + d = 130 eqn 1
3b - d = 118 eqn 2
Multiply eqn 1 by 3
3b + 3d = 390 eqn 3
Substract eqn 2 from 3. this gives
4d = 272
d = 68
Substitute for d in eqn 1
b + 68 = 130
b = 62
Answer:No solution
Explanation: There is no solution because x was eliminated in the last step of solving for x. Since we were left with x not being available to equal three, it shows it’s a no solution problem. Hope this helped!
<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,
