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:
since .606 is higher than 5 than itd be 1 cent as in:
1 2 3 4 are below 5 so it would stay the same and numbers 56789 are 5 and higher so itd be up more
Step-by-step explanation:
Answer:
Neither.
Step-by-step explanation:
13 - 1 = 12 and 19 - 13 = 6 - no common difference so its not Arithmetic.
13/1 = 13 and 19/13 = 1.46 - no common ratio so its not Geometric.
Answer:
Jonathan is deciding between two truck rental companies. Company A
charges an initial fee of go for the rental plus $1 per mile driven
Company B charges an initial fee of $10 for the rental plus $1.50 per
mile driven. Let A represent the amount Company A would charge if
Jonathan drives s miles, and let B represent the amount Company B
would charge if Jonathan drives s miles, Graph each function and
determine which company would be cheaper if Jonathan needs to
drive 60 miles with the rented truck,
