Let f: double-struck R4 → double-struck R and c(t): double-struck R → double-struck R4. Suppose ∇f(1, 1, π, e6) = (0, 1, 5, −2),
c(π) = (1, 1, π, e6), and c'(π) = (19, 11, 0, 1). Find d(f ∘ c)/dt when t = π.
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Answer:
The size of Isabella's pool is 220 liters.
Step-by-step explanation:
Let the size of Isabella's pool be liters,
be the rate of fill,
be the time of fill and
be the volume of water filled in the pool.
As the rate of fill is constant,
Therefore, volume of water filled in the pool can be given as,
Volume of water left is given as
From the table,
Volume of water left after minutes is 184 liters.
So, -------- 1
Volume of water left after minutes is 4 liters.
So, ------------2
Multiply equation 1 by 6 and equation 2 by -1, we get
Now, we add the above equations, we get
Therefore, the size of Isabella's pool is 220 liters.