Answer:
see explanation
Step-by-step explanation:
A
The circumference (C) of a circle is calculated as
C = πd ( d is the diameter ) , then
C = 3.14 × 8 ≈ 25.12 in
B
The circumference (C) of a circle is calculated as
C = 2πr ( r is the radius )
Here C = 94.2 , then
2πr = 94.2 ( divide both sides by 2π )
r =
= 15 cm
Take a picture of the problem on PhotoMath and it will break down all of your steps.
Note: The first file attached contains the clear and complete question
Answer:
a) The times at which the graph of A(t) has horizontal tangent are t = 1 and t = 7
A(t) has a local maximum at t=7
A(t) has a local minimum at t=1
b) The times at which the graph of D(t) has horizontal tangent are t = 1.59 and t = 7.74
D(t) has a local maximum at t=1.59
D(t) has a local minimum at t=7.74
c) A(t) = (-t^3) + 8(t^2) -21t + 40
d) The water level in vat A is rising most rapidly at t = 4 hrs
e) 138 gallons
f) 18 gallons per hour
g) 98 gallons
Step-by-step explanation:
For clarity and easiness of expression, the calculations are handwritten and attached as files below.
Each step is neatly expressed and solutions to each part of the question are clearly written