Answer:
Option 3,4,5 are correct.
Step-by-step explanation:
The system of equations are:
Multiply equation (2) with -3 and add with equation (1)
Value of y is 3
Putting value of y in eq(2)
Value of x is -2
So, Option 3,4,5 are correct.
Keywords: System of Equations
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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
One hundred thirty nine thousand eight hundred fifty two
Answer:
6
Step-by-step explanation:
Note: f(x) = y
f(x) = 2x + 2 x = 2
Step 1: Plug in 2 into x.
f(x) = 2(2) + 2
Step 2: Then multiply 2 times 2.
f(x) = 4 + 2
Step 3: Add.
f(x) = 6
Answer
65 feet long
Step-by-step explanation:
15x5 is 65
