2556.6975 days
Your answer would be
Answer:
Rate of change of the area of the square is 42 units at t = 2.
Step-by-step explanation:
We note that the area of the square is given by:
but we aim to find
. But we can use the chain rule to pull out that dA/dt. Doing so gives us:
![\frac{dA}{dt} = \frac{dA}{dx} \times \frac{dx}{dt}.](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdt%7D%20%3D%20%5Cfrac%7BdA%7D%7Bdx%7D%20%5Ctimes%20%5Cfrac%7Bdx%7D%7Bdt%7D.)
Now,
(by the power rule and ![\frac{dx}{dt} = 3.](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%7D%7Bdt%7D%20%3D%203.)
But since we have "x" and not "t", we want to find what x is when t = 2. Substituting t = 2 gives us x(2) = 3(2) + 1 = 7.
So, finally, we see that:
![\frac{dA}{dt} = 2(7) \times 3 = 14 \times 3 = 42.](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdt%7D%20%3D%202%287%29%20%5Ctimes%203%20%3D%2014%20%5Ctimes%203%20%3D%2042.)
Answer:
The graph of g(x) is shifted 4 units down.
8(2x - 3)-6x
First, replace all the x's with 3s. Simplfy 2 × 3 to 6. / Your problem should look like: 8 × (6 - 3) - 6 × 3
Second, simplify 6 - 3 to 3. / Your problem should look like: 8 × 3 - 6 × 3
Third, simplify 8 × 3 to 24. / Your problem should look like: 24 - 6 × 3
Fourth, simplify 6 × 3 to 18. / Your problem should look like: 24 - 18
Fifth, simplify 24 - 18 to get 6. / Your problem should look like: 6
Answer: 6
Answer:
In order of pictures,
Picture #1: 230
Picture #2: 140
Picture #3: 9.9
Picture #4: 13.5
Picture #5: 7.07
Step-by-step explanation:
I am not entirely sure that 3 - 5 are correct, but I know that 1 and 2 are correct. I am sorry if they are incorrect.
Hope that this helps!