Any value you choose for x will make the equation a TRUE statement. This type of equation is called an identity, and the solution set is all real numbers.
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

From this we know that

lies on the x-axis.
If z = 0, then k =

and point lies on curve L.
I believe the answer is C. It definitely not A or B.
The average rate of change of the function over −2 ≤ x ≤ 2 is 1/2
<h3>How to determine the average rate of change?</h3>
The function is given as:

The interval is given as:
−2 ≤ x ≤ 2
Calculate h(2) and h(-2)

h(2) = -3

h(-2) = -5
The average rate of change is then calculated as:

This gives

Evaluate
m = 1/2
Hence, the average rate of change of the function over −2 ≤ x ≤ 2 is 1/2
Read more about average rate of change at
brainly.com/question/23715190
#SPJ1
<u>Complete question</u>

What is the average rate of change of h over the interval −2 ≤ x ≤ 2