Ghost characters are too short to let go
V(r) means that the volume is function of r the radius
so V(5/7) is the volume of the ball when the radius is 5/7
the second choise is the right
Answer:
the ingegral I=π/4
Step-by-step explanation:
From the integral
I=∫0-1∫0-sqrt(1-y^2) (x^2 + y^2) dxdy
from polar coordinates
r²=x² + y²
then for r=1
√(1- y²) = x
for y=1 → x=0 , for y=0 → x=1
then the integration area is a hemisphere or radius r=1
therefore
I= ∫0-1∫0-sqrt(1-y^2) (x^2 + y^2) dxdy = (1/2)∫2π-0 ∫1-0 r² *r drdθ ( the additional r is due to the Jacobian of the transformation to polar coordinates , 1/2 because is an hemisphere so it would be the half of the value of the total sphere)
I= (1/2)∫2π-0 ∫1-0 r³drdθ = (1/2)∫2π-0 (1⁴/4 - 0⁴/4) dθ = (1/2)∫2π-0 (1/4)*dθ = (1/2)*(1/4)*2π = π/4
Answer:
Step-by-step explanation:
The equation expressing the number y of shopping centers in terms of the number x of years after 1992 will be LINEAR in nature
The standard equation is expressed as;
y = mx+c
m is the slope
c is the intercept
If in 1992, there were 41,984 shopping centers in a certain country and in 2002, there were 48,225 we can express this as coordinate points
(0, 41984) and (10, 48,225)
Get the slope
m = 48,225-41,984/10-0
m = 6241/10
m = 624.1
Get the intercept, substitute m = 624.1 and the point (0,48225) into the formula y = mx+c
48225 = 624.1(0)+c
48225 = 0+c
c = 48225
Get the required equation
y = 624.1x+48225
Answer:
69.08 inches
Step-by-step explanation:
Circumference of the wheel
= 2 pi r
Given
Pi = 3.14
Radius r = diameter/2 = 22/2
= 11
Therefore
Circumference = 2 x 3.14 x 11
= 69.08 inches