Answer:
200
Step-by-step explanation:
Answer:
1312
Step-by-step explanation:
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:
7 seconds
Step-by-step explanation:
The radius of a sphere-shaped balloon increases at a rate of 2 centimeters (cm) per second.
surface area of the completely inflated balloon is 784 cm²
SA=4r²
784= 4r²
784/4= r²
196 = r²
14cm = r
Yhe radius of the complete inflated balloon is 14cm
If the ball inflate at the rate of 2 cm per seconds
Then it took 14/2 = 7 seconds to inflate fully
Answer:
1. $361800
Step-by-step explanation:
Given,
principle balance=$670
interest rate=8%
A= Final amount
P= initial Principal balance
r= interest rate
n= number of times interest applied per time period
t= number of times period elapsed
compound interest formula,
Therefore the Present value is $361800
