Use the sign diagram forto determinex-values at which relative minima occur, where and

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?



A.
B.
C.  and
D.
E. no relative minima

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Answer: E

Mathematics

Solve the equation for exact solutions.arctan x = arccot 

A. ?
B.
C.
D. {0}

Graph the parabola.y2 + 12x = 0 

A.

B.

C.

D.

In the current first-year class of a community college, all the students come from three local high schools. Schools I, II, and III supply respectively 40%, 50%, and 10% of the students. The failure rate of students is 4%, 2%, and 6%, respectively. Given that a student fails, what is the probability that he or she came from school I?

Fill in the blank(s) with the appropriate word(s).

Factor completely. If unfactorable, indicate that the polynomial is prime.x3 - 4x + 5x2 - 20

A. (x + 2)(x - 2)(x + 5) B. (x - 2)2(x + 5) C. prime D. (x2 - 4)(x + 5)