1/4 divided by 2 is the answer
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
Answer:
The distance traveled is 357.54km.
Step-by-step explanation:
The situation is illustrated in the figure attached.
From the law of cosines the distance is given by
Answer:
(-7,-15)
Step-by-step explanation:
We can substitute first y in the second y. Both equations are also functions. We can merge the equations.
Substitute x = -7 in any given equations. I will choose the second equation to substitute in.
<u>Answer</u><u> </u><u>Check</u>
Substitute both x and y in both equations.
The equation is true for (-7,-15).
The second equation is true for (-7,-15).
Therefore our answer is (-7,-15)