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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
}
<u>Answer:</u>
Area of kite is 30 sq units.
<u>Solution:</u>
Note: Refer the image attached
From the given,
AC = 10 ; BD = 6
Kite is a quadrilateral as it has two equal adjacent sides.
The formula for the area of quadrilateral (kite) when both the diagonals are given is
![\text { area of kite }=\frac{1}{2} \times d_{1} d_{2}](https://tex.z-dn.net/?f=%5Ctext%20%7B%20area%20of%20kite%20%7D%3D%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20d_%7B1%7D%20d_%7B2%7D)
Here AC is
and BD is ![d_{2}](https://tex.z-dn.net/?f=d_%7B2%7D)
On substituting the given values we get
![area = \frac{1}{2}\times10\times6 = \frac{60}{2}=30 sq units](https://tex.z-dn.net/?f=area%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%5Ctimes10%5Ctimes6%20%3D%20%20%5Cfrac%7B60%7D%7B2%7D%3D30%20sq%20units)
First you divide 495/15=33 then you divide 375/33= 11.36 it think it the answer
Answer:
b=200(1.5)
Step-by-step explanation:
I hope this helps :D