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
You might also like to view...
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