Answer:
The rate of change in the submarine's elevation is 26.0 feet per second.
Step-by-step explanation:
She begins 151 feet below sea level
Thus, her initial point is y₁ = 151 feet below sea level
i.e. at t₁=0 seconds, y₁ = 151 feet below sea level
After descending for the 3 seconds, she is 229 feet below sea level.
Thus, her second point is y₂ = 229 feet below sea level after 3 seconds
i.e. at t₂=3 seconds, y₂ = 229 feet below sea level
The rate of change is basically the slope. Thus, the rate of change can be obtained by taking the slope.
slope = rate of change = (y₂ - y₁)/(t₂ - t₁)
= (229 - 151) / (3 - 0)
= 78/3
= 26.0
Therefore, the rate of change in the submarine's elevation is 26.0 feet per second.
Answer:
the area of the curve y= f(x) = x between x = 5 and x = 10
Step-by-step explanation:
- Finding the area of the curve y = f(x) = x between x = 5 and x = 10
Using the Area formula
As the area of curve lies between x = 5 and x = 10
so
so the integral expression becomes
![A=\left[\frac{x^{1+1}}{1+1}\right]^{10}_5](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cfrac%7Bx%5E%7B1%2B1%7D%7D%7B1%2B1%7D%5Cright%5D%5E%7B10%7D_5)
![=\left[\frac{x^2}{2}\right]^{10}_5](https://tex.z-dn.net/?f=%3D%5Cleft%5B%5Cfrac%7Bx%5E2%7D%7B2%7D%5Cright%5D%5E%7B10%7D_5)
![=\frac{1}{2}\left[10^2-5^2\right]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D%5Cleft%5B10%5E2-5%5E2%5Cright%5D)
Therefore, area of the curve y= f(x) = x between x = 5 and x = 10
Answer:
For the fractions question:
1/4<1/2
3/4<2/3
5/7<3/5
8/9>8/10
7/10<6/8
Hope this helps! (:
The constant rate of proportionality is 12!
Answer:
look it up on desmos
Step-by-step explanation:
