Find the partial fraction decomposition for the rational expression.
A. +
B. +
+
C. +
+
D. +
+
Answer: B
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Use L'Hpital's rule to find the limit.
A.
B.
C. -
D. -
Expand using the binomial theorem.(x + 8)5
A. x5 + 40x4 + 1280x3 + 10,240x2 + 20,480x + 32,768 B. x5 + 40x4 + 640x3 + 5120x2 + 20,480x + 8 C. x5 + 40x4 + 1280x3 + 10,240x2 + 20,480x + 8 D. x5 + 40x4 + 640x3 + 5120x2 + 20,480x + 32,768
For the function find the maximum number of real zeros that the function can have, the maximum number of x-intercepts that the function can have, and the maximum number of turning points that the graph of the function can have. f(x) = -3.53x4 - x3 + x2 - 7x + 2
A. 4; 5; 5 B. 4; 4; 3 C. 3; 3; 4 D. 4; 3; 2
Solve the problem.The Earth rotates about its pole once every 24 hours. The distance from the pole to a location on Earth 35° north latitude is about 3,243.8 miles. Therefore, a location on Earth at 35° north latitude is spinning on a circle of radius 3,243.8 miles. Compute the linear speed on the surface of the Earth at 35° north latitude.
A. 849 mph B. 20,381 mph C. 795 mph D. 135 mph