Decompose into partial fractions.
A. +
-
+
+
B. +
+
+
+
C. +
+
+
+
D. +
+
+
+
Answer: D
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A balloon is initially full of air, but then it springs a leak. Air leaks at a constant rate from the balloon. After a while the leak is patched and a pump is attached to the balloon. It is re-inflated to its original volume: Air is pumped at a constant rate that is larger than the rate of the leak. Let B denote the volume, in cubic inches, of air in the balloon after t minutes. The graph of B versus t from the time the balloon springs a leak until it is fully re-inflated is shown. Make the graph of .
?
What will be an ideal response?
Identify the degree of the polynomial; then indicate whether the polynomial is a monomial, binomial, or trinomial or has no special polynomial name.t - 2t2 + 7t3 + 1
A. degree = 6; trinomial B. degree = 3; none of these C. degree = 5; trinomial D. degree = 1; binomial
Solve.22.5 ? x = 324
A. 14.4 B. 1.44 C. 15.4 D. 144
For the given functions f and g, find the requested function and state its domain.f(x) = ; g(x) =
Find f + g.
A. (f + g)(x) = ; {x|x ?
}
B. (f + g)(x) = ; {x|x ?
, x ?
}
C. (f + g)(x) = ; {x|x ?
}
D. (f + g)(x) = ; {x|x ? 0}