Provide an appropriate response.Consider the graphs of y = cos-1 x and y = sin-1 x. Does it make sense that the derivatives of these functions are opposites? Explain.

What will be an ideal response?


Yes, They both have domains -1 ? x ? 1. They have the same basic shape with opposite slopes. Since the slopes are opposites the derivatives will be opposites.

Mathematics

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Find the flux of the curl of field F through the shell S.F = exi + eyj + 2xyk; S is the portion of the paraboloid 1 - x2 - y2 = z that lies above the 

A. -2? B. 2 C. 0 D. -2

Mathematics

Solve the right triangle for all missing sides and angles to the nearest tenth.c = 23B = 39°

A. A = 51°, a = 14.5, b = 17.9 B. A = 51°, a = 17.9, b = 14.5 C. A = 51°, a = 18.6, b = 14.5 D. A = 51°, a = 17.9, b = 18.6

Mathematics

Group the objects into classes so that all the elements within each class are topologically equivalent and no elements from different classes are topologically equivalent.

A. A, B and D; C B. A; B and D; C C. A; B, C and D D. A,B,C, and D E. A, C and D; B

Mathematics

Simplify. - 

A.
B.
C.
D.

Mathematics