To find the volume of each prism, you will multiply the length by the width by the height.
V = lwh
3 3/4 x 3 x 3 1/4
V = 36 9/16 cubic feet
V = lwh
1/4 x 1/4 x 1/4
V= 1/64 cubic feet
Both boxes are similar in that they can be described as a rectangular prism.
They are different because one prism has congruent edges, so we call it a cube. The other one has varying side lengths, therefore it is only a rectangular prism.
Answer:
did you try 12÷ by the decimal form of 3/4
You have to searh the x values that make f(x) = 0
Factoring this equation is very difficult.
You can divide by x+3 and you will find that the equation can be factored as
(x+3)(x-4)^2
That means that x = -3 and x = 4 make f(x) = 0
Then the points are (-3,0) and (4,0).
ANSWER
See below
EXPLANATION
Part a)
The given function is
From the graph, we can observe that, the absolute maximum occurs at (-0.7746,6.1859) and the absolute minimum occurs at (0.7746,5.8141).
b) Using calculus, we find the first derivative of the given function.
At turning point f'(x)=0.
This implies that,
We plug this values into the original function to obtain the y-values of the turning points
We now use the second derivative test to determine the absolute maximum minimum on the interval [-1,1]
Hence
is a maximum point.
Hence
is a minimum point.
Hence (0,-6) is a point of inflexion
It is not necessary that the function decreasing over a given interval always be negative.
A function f(x) (value) decreases as x increases.
This does not mean that value of f(x) is negative.
It can have positive number as range.
