5 less than twice a number is equal to one half the difference of three times the number and 13. Find the number.
1 answer:
Answer:
The number will be
Step-by-step explanation:
Let us assume the number as .
Given:
⇒ less than twice a number that will be
, which is equal to half the difference of three times the number and 13
We have to find the number.
Solution:
The difference of three times the number and 13 could be represented as :
The value be equal to of this
⇒
As we can see here,
- That we got a equation ⇒
Now, we can solve the above equation:
We have multiply both sides by ⇒
then, ⇒
⇒
Hence we can say that number which was assumed as will be
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Answer
,
,
Step-by-step explanation:
Given that
For the term .
Limits for is from
to
and for
is from
to
and the region
, for this double integration is the shaded region as shown in graph 1.
Now, reverse the order of integration, first integrate with respect to then with respect to
. So, the limits of
become from
to
and limits of
become from
to
as shown in graph 2.
So, on reversing the order of integration, this double integration can be written as
Similarly, for the other term .
Limits for is from
to
and limits for
is from
to
and the region
, for this double integration is the shaded region as shown in graph 3.
Now, reverse the order of integration, first integrate with respect to then with respect to
. So, the limits of
become from
to
and limits of
become from
to
as shown in graph 4.
So, on reversing the order of integration, this double integration can be written as
Hence, from equations ,
and
, on reversing the order of integration, the required expression is
Now, compare the RHS of the equation with
We have,
and
.
