Answer:
Here,

substituting the value of 4y in eqn i fron eqn ii
so eqn i becomes

So

Thus,

...hope this helps:)
Question:
Find the point (,) on the curve
that is closest to the point (3,0).
[To do this, first find the distance function between (,) and (3,0) and minimize it.]
Answer:

Step-by-step explanation:
can be represented as: 
Substitute
for 

So, next:
Calculate the distance between
and 
Distance is calculated as:

So:


Evaluate all exponents

Rewrite as:


Differentiate using chain rule:
Let


So:



Chain Rule:




Substitute: 

Next, is to minimize (by equating d' to 0)

Cross Multiply

Solve for x


Substitute
in 

Split

Rationalize



Hence:

Answer:
3,-1,15
Step-by-step explanation:
(0,3) (2,-1) (-6,15)
12. 1500 cm²
13. Monica forgot to multiply by 1/2
The area of the fabric is 45 in²
Hope this helped!! (:
1: 8 faces and 9 with the base 9 vertices and 16 edges
2: 3 faces and 5 with the bases 6 vertices and 9 edges
3: 3 faces and 4 with the base 4 vertices and 6 edges
Hope this can help you.