Let the curve C be the intersection of the cylinder
and the plane
The projection of C on to the x-y plane is the ellipse
To see clearly that this is an ellipse, le us divide through by 16, to get
or
,
We can write the following parametric equations,
for
Since C lies on the plane,
it must satisfy its equation.
Let us make z the subject first,
This implies that,
We can now write the vector equation of C, to obtain,
The length of the curve of the intersection of the cylinder and the plane is now given by,
But
Therefore the length of the curve of the intersection intersection of the cylinder and the plane is 24.0878 units correct to four decimal places.
The expressions is undefined in the set of the real numbers.
Answer:
₱ 550.25
Step-by-step explanation:
₱ 35.50 * 15.5 weeks = ₱ 550.25
Answer:
(4 √ 3 + 4 √2 ) m
Step-by-step explanation:
The insect can travel from one corner directly to opposite corner in four different ways
each can be calculated using Pythagoras theorem
firstly for one face we need to calculate the diagonal
H² = 1² + 1² = 2
H = √2
then we calculate the diagonal opposite a corner
for example
A to H where A is at the bottom and H opposite A in another plane at the top in the cubical box
(Interior diagonal for A to H)² = √2² + 1² = 3
Interior diagonal from A to H = √ 3
there are four such corners, the fly will travel 4 √ 3 and it could also go 4 √2 diagonally to the the other corners
maximum possible length in meters = (4 √ 3 + 4 √2 ) m
Answer:
Step-by-step explanation:
Change the 2/3 to 4/6
Now the ratio becomes 3:4:6
So the number of each is
3x + 4x + 6x = 520
13x = 520
x = 40
Red = 3*40 = 120
Yellow = 4*40 = 160
Blue = 6 * 40 = 240
Total = 520
