Find all the complex roots. Leave your answers in polar form with the argument in degrees.The complex fourth roots of -16
A.
| 16(cos 45° + i sin 45°), 16(cos 135° + i sin 135°), 16(cos 225° + i sin 225°), 16(cos 315° + i sin 315°) |
B.
(cos 45° + i sin 45°), 
(cos 135° + i sin 135°), 
(cos 225° + i sin 225°), 
(cos 315° + i sin 315°)C. 2(cos 45° + i sin 45°), 2(cos 135° + i sin 135°), 2(cos 225° + i sin 225°), 16(cos 315° + i sin 315°)
D. 2(cos 90° + i sin 90°), 2(cos 180° + i sin 180°), 2(cos 270° + i sin 270°), 2(cos 360° + i sin 360°)
Answer: C
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Determine the truth of the premises, discuss the strength of the argument, and assess the truth of the conclusion.Premise: Calvin Coolidge was over 35 years old when he became President of the United States.Premise: Bill Clinton was over 35 years old when he became President of the United States.Premise: Ronald Reagan was over 35 when he became President of the United States.Conclusion: Every United States politician is at least 35 years old.
What will be an ideal response?
Estimate the magnitude of the error involved in using the sum of the first four terms to approximate the sum of the entire series.
A. 1.15 × 10-3 B. -1.80 × 10-3 C. -1.98 × 10-2 D. -4.48 × 10-3
Solve the problem.Find the slope of the line tangent to the curve 
at the point where 
A. 
B. -8
C. 8
D. -2
Figure (a) shows a vacant lot with a 80-ft frontage in a development. To estimate its area, we introduce a coordinate system so that the x-axis coincides with the edge of the straight road forming the lower boundary of the property, as shown in Figure (b). Then, thinking of the upper boundary of the property as the graph of a continuous function f over the interval [0, 80], we see that the problem is mathematically equivalent to that of finding the area under the graph of f on [0, 80]. To estimate the area of the lot using a Riemann sum, we divide the interval [0, 80] into four equal subintervals of length 20 ft. Then, using surveyor's equipment, we measure the distance from the midpoint of each of these subintervals to the upper boundary of the property. These measurements give the
values of f(x) at x = 10, 30, 50, and 70. What is the approximate area of the lot?
?
?
?
__________ square feet
Fill in the blank(s) with the appropriate word(s).