Show that the function f has an inverse by showing that it is strictly monotonic.f(y) = dt, 0 < y < ?/2

What will be an ideal response?


f'(y) = - sin2y < 0 on (0, ?/2). Thus, f is monotonic decreasing on (0, ?/2) and so it has an inverse there.

Mathematics

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Solve. Write the answer in simplest form.Find the perimeter of the square. Recall that the perimeter of a figure is the distance around a figure. mile

A.  mi
B.  mi
C.  mi
D.  mi

Mathematics

Divide and simplify. ÷ 

A.
B. (z - 3)(z - 5)
C.
D.  

Mathematics

Let W be the subspace spanned by the u's. Write y as the sum of a vector in W and a vector orthogonal to W.y = , u1 = , u2 = 

A.
y =  + 
B.
y =  + 
C.
y =  + 
D.
y =  + 

Mathematics

Use transformations to graph the function.y = sin (?x)

A.

B.

C.

D.

Mathematics