Answer:
a) maximum of 2.4 at x=-2
b) minimum of -0.3 at x=1
Step-by-step explanation:
A cubic function that is not monotonic will have one maximum and one minimum. If the leading coefficient is positive (as here), the maximum will have an x-coordinate that is less than that of the minimum.
The graph shows the extrema you're looking for.
Answer:
The surface area of the ball is of 29 square inches.
The volume of the ball is of 15 cubic inches.
Step-by-step explanation:
The ball has an spherical format:
Circumference of a sphere:
The circumference of a sphere is 6.2832 times the radius.
Surface area
In which r is the radius.
Volume:
The circumference of the ball is 9.4 inches.
So the radius is:
Surface area
Rounding to the nearest unit, the surface area of the ball is of 29 square inches.
Volume:
Rounding to the nearest unit, the volume of the ball is of 15 cubic inches.
Answer:
We have to find the z critical value at 100% - 90% = 10% level of significance.
Since the normal distribution has two tails, we therefore, need to divide the significance level into two tails with each tail having area of 5%.
Now using the standard normal table, the z critical is: