Just multiply it and you will get your answer
For this we start by putting km into cm
53.23 x 100,000 = 5,323,000
Now we divide by 53 to see the total number of revolutions
5,323,000 / 53 = 100,433.962 revolutiona
L=Lim tan(x)^2/x x->0
Since both numerator and denominator evaluate to zero, we could apply l'Hôpital rule by taking derivatives.
d(tan^2(x))/dx=2tan(x).d(tan(x))/dx = 2tan(x)sec^2(x)
d(x)/dx = 1
=>
L=2tan(x)sec^2(x)/1 x->0
= (2(0)/1^2)/1
=0/1
=0
Another way using series,
We know that tan(x) = x+x^3/3+2x^5/15+.....
then tan^2(x), using binomial expansion gives
x^2+2*x^4/3+.... (we only need two terms)
and again apply l'Hôpital's rule, we have
L=d(x^2+2x^4/3+...)/d(x) = (2x+8x^3/3+...)/1
=0 as x->0
Non of these is the 2nd diagram.
Corresponding angles are 3rd and 5th diagram.
Alternate internal angles are 4th diagram.
Alternate exterior 1st diagram
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
Let's first write down the equation we are going to solve.
( 1 / 3 )h - 4 [ ( 2 / 3 )h - 3 ] = ( 2 / 3 )h - 6
To begin with, we will expand the brackets => [ ]
( 1 / 3 )h - ( 8 / 3 )h + 12 = ( 2 / 3 )h - 6
Next we will collect like terms by placing all the individual numbers on the right-side of the equation and the terms with ( h ) on the left-hand side of the equation so that we can begin making ( h ) the subject.
( 1 / 3 )h - ( 8 / 3 )h - ( 2 / 3 )h = - 6 - 12
Then we will simplify both the left-hand side and right-hand side of the equation to solve it for ( h ).
( - 9 / 3 )h = - 18
- 3h = - 18
h = - 18 / - 3
h = 18 / 3
h = 6
FINAL ANSWER:
Therefore, the answer is:
h = 6
Hope this helps! :)
Have a lovely day! <3
