The instantaneous rate of change of the function is 5/π
<h3>How to determine the
instantaneous rate of change?</h3>
The function is given as

Where

Calculate f(π) as follows

This gives

Evaluate the expression

The instantaneous rate of change is then calculated as;

This gives

Hence, the instantaneous rate of change of the function is 5/π
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(3x+8)(3x+8)=
9x^2+24x+24x+64=
9x^2+48x+64
The x-intercept is when y = 0
y = x - 5 → 0 = x - 5 → x = 5
The y-intercept is when x = 0
y = x - 5 → y = 0 - 5 → y = - 5
Answer: x-intercept is (5, 0), y-intercept is (0, -5)
Answer:
A) total distance covered = 60miles
B) total time taken = 4hrs 30 mins
Step-by-step explanation:
Detailed explanation and calculation is shown in the image below
The set is linearly dependent.
To explicitly prove this, we need to show there is at least one choice of constants
such that

or equivalently,

which is the same as solving the system of equations

From the first and last equations, we have
and
. Substituting these into the second equation leaves us with
, and so the overall solution set is

for which there are infinitely many not-all-zero solutions.