Which of the following numbers round to 43,000 when rounded to the nearest thousand? Select all that apply 42,499 42,532 42,983
2 answers:
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Given:
The angles are:
Example
1.
2.
3.
4.
5.
To find:
The complimentary angle of the given angles.
Solution:
If two angles are complimentary, then their sum is 90 degrees.
Example: Let x be the complimentary angle of , then
Similarly,
1. The complimentary angle of is:
2. The complimentary angle of is:
3. The complimentary angle of is:
4. The complimentary angle of is:
5. The complimentary angle of is:
Therefore, the complimentary angles of are
respectively.
9514 1404 393
Answer:
- maximum: 2
- minimum: -6
Step-by-step explanation:
The extrema will be at the ends of the interval or at a critical point within the interval.
The derivative of the function is ...
f'(x) = 3x² -4x -4 = (x -2)(3x +2)
It is zero at x=-2/3 and at x=2. Only the latter critical point is in the interval. Since the leading coefficient of this cubic is positive, the right-most critical point is a local minimum. The coordinates of interest in this interval are ...
f(0) = 2
f(2) = ((2 -2)(2) -4)(2) +2 = -8 +2 = -6
f(3) = ((3 -2)(3) -4)(3) +2 = -3 +2 = -1
The absolute maximum on the interval is f(0) = 2.
The absolute minimum on the interval is f(2) = -6.
