Answer: 3.14
Step-by-step explanation:
Succinctly, pi—which is written as the Greek letter for p, or π—is the ratio of the circumference of any circle to the diameter of that circle. Regardless of the circle's size, this ratio will always equal pi. In decimal form, the value of pi is approximately 3.14.
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:
3rd choice
Step-by-step explanation:
9/5 = 18/10 = 1.8
All your numbers are between 1 and 2, and all have a fractional part that is a whole number of tenths. 1.3, 1.5, and 1.8 will be correctly shown by dots on the 3rd, 5th, and 8th marks.
X^2 + 12x = -6
x^2 + 12 x + 6^2 = -6 + 6^2
(x + 6)^2 = - 6 + 36
(x +6)^2 = 30
In the first step I had to add 6^2 = 36. The answer is option B. 36.