Express the limit as a definite integral where P is a partition of the given interval.lim
?0
?xk, [10, 12]
A. dx
B. dx
C. dx
D. dx
Answer: D
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Find the general solution of the equation. Express the solution explicitly as a function of the independent variable.x8 = y2, x > 0
A. y = -
B. y = - + C
C. y =
D. y = + C
Three players (one divider and two choosers) are going to divide a cake fairly using the lone divider method. The divider cuts the cake into three slices (s1, s2, and s3).Suppose the choosers value the slices as follows:
Which of the following is a fair division of the cake?
A. Chooser 1 gets s1; Chooser 2 gets s2; Divider gets s3. B. Divider 1 gets s2; Choosers 1 and 2 divide s1 + s3 using the divider-chooser method. C. Chooser 1 gets s2; Chooser 2 gets s3; Divider gets s1. D. Divider 1 gets s1; Choosers 1 and 2 divide s2 + s3 using the divider-chooser method. E. none of these
Solve the equation after making an appropriate substitution.3x-2 - 4x-1 - 4 = 0
A.
B.
C.
D.
Decide whether or not the functions are inverses of each other.f(x) = , g(x) =
A. No B. Yes