For this case what we must do is find a quadratic function that is already factored.
This is because in the factored quadratic equations, it is easier to observe the zeros of the function.
In this case, the zeros of the function represent the time at which the company did not make any profit.
We have the following equation:
p (t) = 40 (t - 3) (t + 2) (t - 5) (t + 3)
We observed that there was no gain in:
t = 3
t = 5
The other roots are discarded because they are negative
Answer:
a.p (t) = 40 (t - 3) (t + 2) (t - 5) (t + 3)
Answer:
No. They are parallel and parallel lines don't intersect each other.
Step-by-step explanation:
-The two tangents intersect the circle at it's diameters endpoints.
-Tangents are always perpendicular to the radius.
-Since, both tangents meet the circle perpendicularly at the extreme ends of the diameter, they have a parallel relationship.
-Parallel lies don't intersect.
-Hence, the tangents won't intersect at any point since they are parallel.
Answer:

Step-by-step explanation:
<u>Differentiation</u>
We have a relationship between x and y as follows:

Both variables depend on time t for t≥0.
Differentiating with respect to time:

Applying the derivative of a power function:

Recall the derivative of a constant is 0.
Dividing by 2:

Solving for y':

At some specific time, we have:
x=3, y=4, dx/dt = x' = 6. Substituting:

Operating:

Simplifying:

Hello here is a solution :
f'(x) =( sin11x)'cos11x +<span>sin11x(cos11x)'
(sin(ax+b))'=a cos(ax+b)
</span>(cos(ax+b))'=-a sin(ax+b)
f'(x) = 11 cos11xcos11x-11sin11xsin11x
f'(x) = 11(cos11x)²-11(sin11x)²