Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.
?
The area of the region bounded by the graphs of and
and the vertical lines
and
is given by
.
?
A. True. Since f and g are continuous functions and on the interval [0, 2], then the area of the region bounded above by
and below by
on [0, 2] is given by
.
B. False. Since f and g are continuous functions and on the interval [0, 2], then the area of the region bounded above by
and below by ?
on [0, 2] is given by
Answer: B
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Solve the equation by the method of your choice. Simplify irrational solutions, if possible.x2 - 5x = 0
A. {5, 0}
B. {0, -5}
C. {±}
D.
Simplify the ratio.
A.
B.
C.
D.
Solve the initial value problem, if possible.y'(t) = y(5t4 + 6t5), y(0) = 2
A. y = et4 + t5
B. y = 2 ln(t5 + t6)
C. y = 2e4t5 - 5t6
D. y = 2et5 + t6
Use the 68-95-99.7 rule to solve the problem.Assume that a distribution has a mean of 26 and a standard deviation of 4. What percentage of the values in the distribution do we expect to fall between 26 and 34?
A. 5% B. 47.5% C. 95% D. 25%