Define the function at 0 so as to make it continuous at 0.


Mathematics

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Find the product of the given complex number and its conjugate.8 (cos (40°) + i sin (40°))

A. 128 (cos (40°) + i sin (-40°))
B. 8
C. 128
D. 8 (cos (40°) + i sin (-40°))

Mathematics

Solve the problem.A long strip of sheet metal 12 inches wide is to be made into a small trough by turning up two sides at right angles to the base. If the trough is to have maximum capacity, how many inches should be turned up on each side?

A. 4 in. B. 6 in. C. 3 in. D. 4 in. on one side, 5 in. on the other

Mathematics

A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.a1 = 3, an+1 = -an

A. 3, -9, 27, -81, 243 B. 3, 0, -3, -6, -9 C. 3, -3, 3, -3, 3 D. -3, 3, -3, 3, -3

Mathematics

Perform the operations indicated. Write your answer in simplest form.-4 - 8

A. -12 B. -4 C. 12 D. 4

Mathematics