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
school building, so the fourth side does not need Fencing. As shown below, one of the sides has length J.‘ (in meters}. Side along school building E (a) Find a function that gives the area A (I) of the playground {in square meters) in
terms or'x. 2 24(15): 320; - 2.x (b) What side length I gives the maximum area that the playground can have? Side length x : [1] meters (c) What is the maximum area that the playground can have? Maximum area: I: square meters
Step-by-step explanation:
Answer:
(2, -8)
Step-by-step explanation:
(x, y)=(-3, -1)
(x1+x2)/2=-3,
(y2+y2)/2=-1,
-------------------
(x1+x2)/2=-3
(y1+y2)/2=-1
---------------------
x1-8=-6
x1=2
----------
y1+6=-2
y1=-8
(2, -8)
Answer:
Kevin's unit rate is 8.5. This means Kevin earns $8.5 ever hour.
Step-by-step explanation:
51.00/6.
Hope this helps! :)