A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the
flaps are folded upward to form an open box. If the volume of the box is 2730 in^3, what were the original dimensions of the piece of metal?
2 answers:
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Answer:
See attached image for the graph of the function
Step-by-step explanation:
Notice that this is the product of a power function () times the trigonometric and periodic function cos(x). So the zeros (crossings of the x axis will be driven by the values at which they independently give zero. That is the roots of the power function (only x=0) and the many roots of the cos function:
, and their nagetiva values.
Notice that the blue curve in the graph represents the original function f(x), with its appropriate zeros (crossings of the x-axis), while the orange trace is that of "-f(x)". Of course for both the zeroes will be the same, while the rest of the curves will be the reflection over the x-axis since one is the negative of the other.
