Answer:
(m³/3 + 5m/2 + 3)pi
Step-by-step explanation:
pi integral [(f(x))² - (g(x))²]
Limits 0 to 1
pi × integral [(2+mx)² - (1-mx)²]
pi × integral[4 + 4mx + m²x² - 1 + 2mx - m²x²]
pi × integral [m²x² + 5mx + 3]
pi × [m²x³/3 + 5mx²/2 + 3x]
Upper limit - lower limit
pi × [m²/3 + 5m/2 + 3]
Verification:
m = 0
[pi × 2² × 1] - [pi × 1² × 1] = 3pi
[m³/3 + 5m/2 + 3]pi
m = 0
3pi
Step-by-step explanation:
8|x+2|-6=5|x+2|+3
|8x+16|-6=|5x+10|+3
I've been thinking... Is that | or (? Are you sure it's |?
Oh well, I'm continuing...
8x+16-6=5x+10+3
8x+10=5x+13
3x=3
x=1
So the image below shows what quadrants are. From the top-right square, the order of quadrants goes from 1-4 in a counter-clockwise matter.
Quadrant I: Top-right square
Quadrant II: Top-left square
Quadrant III: Bottom-left square
Quadrant IV: Bottom-right square.
Any points that are on the bolded vertical line are on the y-axis, and any points on the bolded horizontal line is on the x-axis.
Step-by-step explanation:
let the first number be x
let the second number be y
½ of the first number= ½x
Double the second; 2*y=2y
the sum... that is ½x+2y=14