Find the area of the region that lies inside the first curve and outside the second curve.


A = ?

Mathematics

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A matrix has an inverse if and only if its determinant does not equal 0. Determine whether the given matrix has an inverse.

A. Yes B. No

Mathematics

Solve.Racing cyclists use the function  to determine the maximum rate, , in miles per hour, to turn a corner of radius x, in feet, without tipping over. What is the maximum rate a cyclist should travel around a corner of radius 38 feet without tipping over? Leave the solution in simplified radical form.

A. 24 +  mph
B. 24 mph
C.  mph
D. 4 mph

Mathematics

To further justify the Cofunction Theorem, use your calculator to find a value for each pair of trigonometric functions below. In each case, the trigonometric functions are cofunctions of one another, and the angles are complementary angles. Round your answers to four places past the decimal point. ?  sin 23°, cos 67° ? 

A. sin 23° = 0.3907, cos 67° = -0.9205 B. sin 23° = -0.3907, cos 67° = 0.9205 C. sin 23° = 0.3977, cos 67° = 0.9135 D. sin 23° = 0.3907, cos 67° = 0.3907 E. sin 23° = 0.3857, cos 67° = 0.9205

Mathematics

Find the area between the graph of the function and the x-axis over the given interval, if possible.f(x) = 16e-x for (-?, e]

A. 1.056 B. -1.056 C. -242.464 D. Divergent

Mathematics