AHH HELP ME AGAIN :P THERES ONE MORE AFTER THIS
2 answers:
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Answer:
(i) The equivalent coordinates in rectangular form are .
(ii) The equivalent coordinates in rectangular form are .
Step-by-step explanation:
In this exercise we must find the equivalent coordinates in rectangular form from polar form. That is:
Where:
- Norm of vector, dimensionless.
- Direction of vector with respect to +x semiaxis, measured in sexagesimal degrees.
(i) (,
)
The equivalent coordinates in rectangular form are .
(ii) (,
)
The equivalent coordinates in rectangular form are .
Answer:
Step-by-step explanation:
Given that:
The paraboloid surface z = 6x² + y² and the parabolic cylinder y = 5x²
Let assume that:
x = t
then from y = 5x², we have:
y = 5t²
Now replace y = 5t² and x = t into z = 6x² + y²
z = 6t² + (5t²)²
z = 6t² + 25t⁴
Hence, the curve of intersection is illustrated by the set of equations:
x = t, y = 5t², and z = 6t² + 25t⁴
As a vector equation: