Answer:
volume of the solid generated when region R is revolved about the x-axis is π ₀∫^a (
x + b )² dx
Step-by-step explanation:
Given the data in the question and as illustrated in the image below;
R is in the region first quadrant with vertices; 0(0,0), A(a,0) and B(0,b)
from the image;
the equation of AB will be;
y-b / b-0 = x-0 / 0-a
(y-b)(0-a) = (b-0)(x-0)
0 - ay -0 + ba = bx - 0 - 0 + 0
-ay + ba = bx
ay = -bx + ba
divide through by a
y =
x + ba/a
y =
x + b
so R is bounded by y =
x + b and y =0, 0 ≤ x ≤ a
The volume of the solid revolving R about x axis is;
dv = Area × thickness
= π( Radius)² dx
= π (
x + b )² dx
V = π ₀∫^a (
x + b )² dx
Therefore, volume of the solid generated when region R is revolved about the x-axis is π ₀∫^a (
x + b )² dx
Answer: LEAST-1/8 GREATEST-3/4
Step-by-step explanation:
Answer:
7 and 9 are alternate interior angles
Step-by-step explanation:
4 and 11 are corresponding angles
1 and 7 are vertical angles
Answer:
total money=rupees 50
3/5 of 50= rupees 30
money he spent = rupees 30
money he's left with =50-30=20
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$90 ×.06=5.40
$95.40×.20=19.08
95.40+19.08=114.48
114.48/3=38.16
Each person pays 38.16
check your work 38.16×3=$114.48
You pay $38.16 for your bill unless your friends stiff you.