Provide an appropriate response.Derive the formula given that d/dx (cosh x) = sinh x and d/dx (sinh x) = cosh x. d/dx (coth x) = -csch2 x

What will be an ideal response?


 (coth x) = 


= -csch2 x

Mathematics

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Find the first three terms of the Taylor series in x - a.ln x, a = 1

A. 1 + (x - 1) - (x - 1)2 + . . .
B. (x - 1) - (x - 1)2 + (x - 1)3 - . . .
C. 1 - (x - 1) + (x - 1)2 - . . .
D. (x - 1) - (x - 1)2 + (x - 1)3 - . . .

Mathematics

Provide an appropriate response.Find the radius of an arc if the length of the arc is 20.5 cm and the intercepted central angle is 3.2 radians.

A. 10.05 cm B. 6.41 cm C. 65.6 cm D. 0.16 cm

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Write true or false for the statement.A right triangle has one angle of 90°.

A. True B. False

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Find the exact value of the expression.sin 260° cos 20° - cos 260° sin 20°

A. - 
B. - 
C.
D. - 

Mathematics