A runner, training for a competition, ran on a track every day for 10 weeks. The first week he ran 8 kilometers each day of the
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Answer:
Step-by-step explanation:
The given rational expression is:
We can use concept of Partial Fractions to solve this problem. Let,
Multiplying both sides by (x - 1)(x - 5), we get:
Substituting x = 5, we get:
Substituting x = 1, we get:
Substituting the value of A and B, back in the original equation, we get:
It is given in the question that
A rectangular box has a square base with an edge length of x cm and a height of h cm. The volume of the box is given by
And the edge length of the base is 12 cm, the edge length of the base is decreasing at a rate of 2 cm/min, the height of the box is 6 cm, and the height is increasing at a rate of 1 cm/min.
Here we differentiate V with respect to t, and we use product rule, that is
Substituting the given values , we will get
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So at that moment, the volume is decreasing at the rate of