Establish the identity.(a tan u + b)2 + (b tan u - a)2 = (a2 + b2) sec2 u

What will be an ideal response?


(a tan u + b)2 + (b tan u - a)2 = a2 tan2u + 2ab tan u + b2 + b2 tan2u - 2ab tan u + a2 = (a2 + b2) sec2 u

Mathematics

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Perform the indicated operations.Subtract (3x - 30) from the sum of (-2x + 2) and (9x - 3).

A. 10x - 31 B. 4x + 29 C. -4x - 29 D. 8x + 35

Mathematics

Use the simplex method to solve.Maximize 5x + 6y subject to the following constraints.

Fill in the blank(s) with the appropriate word(s).

Mathematics

The Richter scale converts seismographic readings into numbers for measuring the magnitude of an earthquake according to this function M(x) = log , where x0 = 10-3.Two earthquakes differ by 0.1 when measured on the Richter scale. How would the seismographic readings differ at a distance of 100 kilometers from the epicenter?

A. The earthquake of greater magnitude has a seismographic reading that is 100 times that of the lesser earthquake.
B. The earthquake of greater magnitude has a seismographic reading that is  times that of the lesser earthquake.
C. The earthquake of greater magnitude has a seismographic reading that is  times that of the lesser earthquake.
D. The earthquake of greater magnitude has a seismographic reading that is 10 times that of the lesser earthquake.

Mathematics

Is the following correspondence a function??

A. Yes B. No

Mathematics