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Calculus Examples
Popular Problems Calculus Find the Domain and Range f(x)=5x-3
f
(
x
)
=
5
x
−
3
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(
−
∞
,
∞
)
Set-Builder Notation:
{
x
|
x
∈
R
}
The range is the set of all valid
y
values. Use the graph to find the range.
Interval Notation:
(
−
∞
,
∞
)
Set-Builder Notation:
{
y
|
y
∈
R
}
Determine the domain and range.
Domain:
(
−
∞
,
∞
)
,
{
x
|
x
∈
R
}
Range:
(
−
∞
,
∞
)
,
{
y
|
y
∈
R
}
<span>Number of bowls left after 1 hour =
x - x/3 - 1/3 = 2x/3 - 1/3
</span><span> Number of bowls left after 2 hours = (2x/3 - 1/3) -
(2x/3 - 1/3)/2 - 1/2
= 2x/6 - 1/6 - 1/2
= 2x/6 - 4/6
= x/3 - 2/3
keep doing this untill u reach 0 bowls left
and then u'll get ur answer
</span>
Answer:
Step-by-step explanation:
The two dump intervals have a greatest common factor (GCF) of 3, so their least common multiple (LCM) is ...
(18)(21)/3 = 126 . . . . minutes
This period is 2 hours 6 minutes. The last time both dumped was 1:10, so the next time both will dump is ...
1:10 +2:06 = 3:16 . . . P.M.
and the next time after that is ...
3:16 +2:06 = 5:22 . . . P.M.
Step-by-step explanation:
step 1. tan x = opposite/adjacent = c/b
step 2. cos x = adjacent/hypotenuse = b/a
step 3. sin x = opposite/hypotenuse = c/a
