Verify the identity. = cos 2x

What will be an ideal response?


  =   = cos 2x

Mathematics

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Solve the problem.A window is in the form of a rectangle surmounted by a semicircle. The rectangle is of clear glass, whereas the semicircle is of tinted glass that transmits only one-fifth as much light per unit area as clear glass does. The total perimeter is fixed. Find the proportions of the window that will admit the most light. Neglect the thickness of the frame.

A.  = 
B.  = 
C.  = 
D.  = 

Mathematics

Find T, N, and B for the given space curve.r(t) = (cosh t)i   + (sinh t)j  + k 

A. T = -  (tanh t sech t)i  + j  + (sech t)k; N = (-sech t)i  - (tanh t)k
B. T = - (tanh t)i  + j  + (sech t)k; N = (-sech t)i  - (sinh t)k  ; 
C. T = (tanh t sech t)i  + j  + (sech t)k; N = (sech2 t)i  - (sinh t)k;  
D. T = (tanh t)i  + j  + (sech t)k; N = (sech t)i  - (tanh t)k

Mathematics

Divide the expression. You may want to use the property  =  + . Do not use a calculator.

A. x - 
B. 4x - 1
C. 4x - 5
D. x2 - 5

Mathematics

Convert the angle from radians to degrees. Express your answer as a decimal rounded to two decimal places.-2.1

A. -240.64° B. -120.82° C. -120.32° D. -240.14°

Mathematics