Answer:
This is incorrect because when you seperate both equations, the 7/x flips to x/7. x times x does not cancel out, and the correct division gives you x²/21
Step-by-step explanation:
(x/3)/(7/x)
(x/3) ÷ (7/x)
(x/3) × x/7
x²/21
Answer:
14 and 10
Step-by-step explanation:
14+10=24
14-10=4
Coordinates
-18 + 19½ = 1½?
37½
Step-by-step explanation:
(18 × 2) + 1½ = 37½
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
