Answer:
Step-by-step explanation:
<u>Fundamental Theorem of Calculus</u>
If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.
Given indefinite integral:
Take <u>partial fractions</u> of the given fraction by writing out the fraction as an <u>identity</u>:
Calculate the values of A and B using substitution:
Substitute the found values of A and B:
If the terms are multiplied by constants, take them outside the integral:
Learn more about integration here:
brainly.com/question/27805589
brainly.com/question/28155016
Answer:
<em>The equation of the Parabola</em>
<em>(y - 6 )² = 8 (x -6)</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given directrix x = 4
we know that x = h - a = 4
h -a = 4 ...(i)
Given Focus = ( 8,6)
we know that the Focus of the Parabola
( h + a , k ) = ( 8,6)
comparing h + a = 8 ...(ii)
k = 6
solving (i) and (ii) and adding
h - a + h+ a = 8 +4
2 h = 12
h =6
Put h = 6 in equation (i)
⇒ h - a =4
⇒ 6 - 4 = a
⇒ a = 2
<u><em>Step(ii):-</em></u>
<em>The equation of the Parabola ( h,k) = (6 , 6)</em>
<em>( y - k )² = 4 a ( x - h )</em>
<em>(y - 6 )² = 4 (2) (x -6)</em>
<em>(y - 6 )² = 8 (x -6)</em>
<u><em></em></u>
Answer:
Replace all occurrences of y with 6x−3 in each equation.
Replace all occurrences of y in 18x−3y=9 with 6x−3 .
18x−3(6x−3)=9
y=6x−3
Simplify 18x−3(6x−3).
9=9
y=6x−3
Remove any equations from the system that are always true.
y=6x−3
Step-by-step explanation:
Take 65/7 = 9 remainder 2
Then you add 2 days to Friday to give Sunday
A 2,3 and 6. There you go. :)
