Establish the identity. = 

What will be an ideal response?


 =  =  = csc x - 1 =  -  = .

Mathematics

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Solve the problem.Consider the area of the region in the first quadrant enclosed by the curve y =  cosh 7x, the coordinate axes, and the line x = 8. This area is the same as the area of a rectangle of a length s, where s is the length of the curve from  to   What is the height of the rectangle?

A.
B.  sinh 56
C. 7
D. sinh 56

Mathematics

Solve the problem.Bob and Fred play the following game. Bob rolls a single die. If an even number results, Bob must pay Fred the number of dollars indicated by the number rolled. On the other hand, if an odd number is rolled, Fred must pay Bob the number of dollars indicated by the number rolled. Find Fred's expectation.

A. $0.25 B. $0.50 C. $0.00 D. -$0.10

Mathematics

Determine whether the values in the table belong to an exponential function, a logarithmic function, a linear function, or a quadratic function.

A. quadratic B. linear C. exponential D. logarithmic

Mathematics

Find the intersection of the given intervals.(-?, ?) ? [-3, ?)

A. ? B. (-?, ?) C. [-3, ?) D. (-?, -3]

Mathematics