You're looking for the extreme values of
subject to the constraint
.
The target function has partial derivatives (set equal to 0)


so there is only one critical point at
. But this point does not fall in the region
. There are no extreme values in the region of interest, so we check the boundary.
Parameterize the boundary of
by


with
. Then
can be considered a function of
alone:



has critical points where
:



but
for all
, so this case yields nothing important.
At these critical points, we have temperatures of


so the plate is hottest at (1, 0) with a temperature of 14 (degrees?) and coldest at (-1, 0) with a temp of -12.
<span><span>Step 1: Write down the decimal divided by 1, like this: <span>decimal/1</span></span><span>Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)</span><span>Step 3: Simplify (or reduce) the fraction . ( Did That Help ? ) </span></span>
Ok so look for the change between x and y.
360/0.96 or 510/1.44
360/0.96
0.96/360
.........3.76
_________
96/36000
......288
___________
.........720
.........672
_________
...........580
............576
_________
.................4
___________
510/1.44
............354
____________
144/ 51000
.........432
________
780
720
---------------
600
576
------------------
24
360g at $0.96 is best deal
Answer:
757,576cents
Step-by-step explanation:
Given
Amount = $10000
Time = 4years
Rate = 8%
n = 1/4 year (compounded quarterly
Using the formula to get the principal
A = P(1+r/n)^nt
10000 = P(1+0.08/0.25)^4(1/4)
10000 = P(1+0.32)
10000= 1.32P
P = 10000/1.32
P = 7575.76
Hence he suppose to invest $7575.76 which is equivalent to 7575.76×100 cents i.e 757,576cents