At time t is greater than or equal to zero, a cube has volume V(t) and edges of length x(t). If the volume of the cube decreases
2 answers:
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From the double-angle identity,
we can rewritte our given equation as:
By factoring 2cosx on the left hand side, we have
This equation has 2 solutions when
From equation (A), we obtain
and from equation (B), we have
On the other hand, we can find one more solution from the original equation by substituting x=0, that is,
then, x=0 is another solution. In summary, we have obtained the following solutions:
However, the intersection of the last set is empty. So the unique solution is x=0 as we can corroborate on the following picture:
Therefore, the solution set is: {0}
Answer:
I don't see any options for inequalities, so I wrote one based on the information.
Step-by-step explanation:
We'll assume that the drinks and cake ($17) are the only items Mr. Saslow needs to purchase and that the remainder may be used on whatever extras he wants. In this case, candy.
He starts with $32 and spends $17. The remainder may be spent on candy (all or none). This can be expressed as an inequality. Let C be the cost of the candy.
C ($32 - $17)
C ($32 - $17)
C ($15)