For the given function:(a) Find the intervals on which the function is increasing and decreasing. (b) Then identify the function's local extreme values, if any, saying where they are taken on.(c) Which, if any, of the extreme values are absolute?f(x) = x
What will be an ideal response?
(a) increasing at 
; decreasing on 
? 
(b) local maxima x = -
(-
, 0) and x = 
; local minima at x = -
and x = 
(c) no absolute extrema
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Solve the equation.
x + 
= 
A. 3
B. 1
C. 
D. 
Solve the equation. Write complex solutions in standard form.x2 - 8x + 41 = 0
A. -4 ± 5i B. 9, -1 C. 4 ± 5i D. 8 ± 10i
Find the simple interest. Round your answer to the nearest cent.Principal = $300Rate = 10%Time in years = 2
A. $1500.00 B. $15.00 C. $60.00 D. $6.00
Use Bayes' rule to find the indicated probability.Two shipments of components were received by a factory and stored in two separate bins. Shipment I has 2% of its contents defective, while shipment II has 5% of its contents defective. If it is equally likely an employee will go to either bin and select a component randomly, what is the probability that a defective component came from shipment II?
A. 0.714 B. 0.222 C. 0.5 D. 0.2