Answer:
The parametrization of the curve on the surface is
![c(t) = [x(t) , y(t), z(t)] \equiv [\frac{\sqrt{97} }{2} cost - 4 , \frac{\sqrt{97} }{2} sint + \frac{5}{2} , 5\frac{\sqrt{97} }{2} sint -8 \frac{\sqrt{97} }{2} cost +\frac{93}{2} ]](https://tex.z-dn.net/?f=c%28t%29%20%3D%20%20%5Bx%28t%29%20%2C%20y%28t%29%2C%20z%28t%29%5D%20%5Cequiv%20%5B%5Cfrac%7B%5Csqrt%7B97%7D%20%7D%7B2%7D%20cost%20-%204%20%2C%20%5Cfrac%7B%5Csqrt%7B97%7D%20%7D%7B2%7D%20%20sint%20%20%2B%20%5Cfrac%7B5%7D%7B2%7D%20%2C%20%205%5Cfrac%7B%5Csqrt%7B97%7D%20%7D%7B2%7D%20%20sint%20%20%20-8%20%5Cfrac%7B%5Csqrt%7B97%7D%20%7D%7B2%7D%20cost%20%2B%5Cfrac%7B93%7D%7B2%7D%20%5D)
Where


Step-by-step explanation:
From the question we are told that
The equation for the paraboloid is 
The equation of the plane is 
Form the equation of the plane we have that

So

=> 
Using completing the square method to evaluate the quadratic equation we have



representing the above equation in parametric form
, 


So from 
![z = 5[\frac{\sqrt{97} }{2} sint + \frac{5}{2}] -8[ \frac{\sqrt{97} }{2} cost - 4] +2](https://tex.z-dn.net/?f=z%20%3D%205%5B%5Cfrac%7B%5Csqrt%7B97%7D%20%7D%7B2%7D%20%20sint%20%20%2B%20%5Cfrac%7B5%7D%7B2%7D%5D%20-8%5B%20%20%5Cfrac%7B%5Csqrt%7B97%7D%20%7D%7B2%7D%20cost%20-%204%5D%20%2B2)
Generally the parametrization of the curve on the surface is mathematically represented as
![c(t) = [x(t) , y(t), z(t)] \equiv [\frac{\sqrt{97} }{2} cost - 4 , \frac{\sqrt{97} }{2} sint + \frac{5}{2} , 5\frac{\sqrt{97} }{2} sint -8 \frac{\sqrt{97} }{2} cost +\frac{93}{2} ]](https://tex.z-dn.net/?f=c%28t%29%20%3D%20%20%5Bx%28t%29%20%2C%20y%28t%29%2C%20z%28t%29%5D%20%5Cequiv%20%5B%5Cfrac%7B%5Csqrt%7B97%7D%20%7D%7B2%7D%20cost%20-%204%20%2C%20%5Cfrac%7B%5Csqrt%7B97%7D%20%7D%7B2%7D%20%20sint%20%20%2B%20%5Cfrac%7B5%7D%7B2%7D%20%2C%20%205%5Cfrac%7B%5Csqrt%7B97%7D%20%7D%7B2%7D%20%20sint%20%20%20-8%20%5Cfrac%7B%5Csqrt%7B97%7D%20%7D%7B2%7D%20cost%20%2B%5Cfrac%7B93%7D%7B2%7D%20%5D)
39 and plus that's me the stocker at the playground
Answer:
$4.35
Step-by-step explanation:
Knowns:
Total bill: $29.00
Tip of 15% ($29.00)
Work:
$29.00 (0.15) = $4.35 tip
Hope this helps!
Here is your answer
Both
a) /_D
c) /_ADB
are correct
REASON:
/_ADB represents an angle between AD and BD which is marked in the question.
/_D represents the point where the two lines or rays have a common point, i.e.D
[However writing a single letter to represent an angle is not completely correct. But when there is only one angle represented through the point then writing a single letter is correct
i.e. /_D is correct ]
HOPE IT IS USEFUL