Step-by-step explanation:
hehesjwhwjjwjjwjjwjwjwjwhhw
Answer:
volume of the solid is 3.180
Step-by-step explanation:
given data
line x + y = 2
parabola x2 + y = 4
to find out
the volume of the solid
solution
we draw a graph between line and parabola as show in fig given below attach
line cut at (-1,3) and (2,0)
so the length of diameter is ( 4 - x²) - (2 - x)
and radius of this semi circle will be ( 4 - x² - 2 + x ) /2
radius = (-x² + x + 2 ) /2
and r(x) will be = (-x² + x + 2 ) /2
and A(x) will be = π ( r(x)² ) /2
we will integrate from -1 to 2
=
=
= 81π / 20
volume of the solid is 3.180
The sum of the 5 terms in the arithmetic series is 40.
Step-by-step explanation:
Step 1; First we need to determine the three values between a1= -14 and a5=30. The difference between the first and fifth value = 30 - (-14) = 30 + 14 = 44.
Since there are 4 values after a1 we divide the difference by the number of terms, the difference between each term = 44 / 4 = 11. So the difference between each term is 11.
Step 2; To find out the terms we just add the difference to the previous number.
a1 = -14.
a2 = -14 + 11 = -3.
a3 = -3 + 11 = 8.
a4 = 8 + 11 = 19.
a5 = 19 + 11 = 30.
So a1 + a2 + a3 + a4 + a5 = -14 -3 + 8 + 19 + 30 = 40.