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Mathematics

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Identify the function's extreme values in the given domain, and say where they are assumed. Tell which of the extreme values, if any, are absolute.f(x) =  , -5 ? x < 5

A. local and absolute minimum: 0 at x = -5;  local and absolute maximum: 5 at x = 0 B. no local extrema; no absolute extrema C. local and absolute maximum: 0 at x = -5;  local and absolute minimum: 5 at x = 0 D. local and absolute minimum: 0 at x = -5 and x = 5;  local and absolute maximum: 5 at x = 0

Mathematics

Solve the problem.There are 3 balls in a hat; one with the number 1 on it, one with the number 2 on it, and one with the number 5 on it. You pick a ball from the hat at random and then you roll a die. Using a tree diagram , obtain the sample space for the experiment. Then, find the probability that the number on the ball is greater than the number on the die.

A.
B.
C.
D.

Mathematics

Use the basic trigonometric identities and the given information to find the exact values of the remaining trigonometric functions.cot ? = -  and 90° < ? < 180°

A. sin ? = 
cos ? = 
tan ? = - 
csc 
? = 
sec ? = - 
cot ? = - 
B. sin ? = - 
cos ? = 
tan ? = - 
csc 
? = - 
sec ? = 
cot ? = - 
C. sin ? = - 
cos ? = 
tan ? = - 
csc 
? = - 
sec ? = 
cot ? = - 
D. sin ? = 
cos ? = 
tan ? = - 
csc 
? = 
sec ? = - 
cot ? = - 

Mathematics

Factor the polynomial f(x). Then solve the equation f(x) = 0.f(x) = x4 - 10x3 + 35x2 - 50x + 24

A. (x + 1)(x - 2)(x + 3)(x - 4); -1, 2, -3, 4 B. (x + 1)(x - 2)(x - 3)(x - 4); -1, 2, 3, 4 C. (x + 1)(x + 2)(x - 3)(x - 4); -1, -2, 3, 4 D. (x - 1)(x - 2)(x - 3)(x - 4); 1, 2, 3, 4

Mathematics