|
2x
-0²
(b) f(x) =
x = 2
(c) f(x) = [sin x], a = π
a = 2
44. If f(x) = x² + 10 sin x, show that there is a number c such
that f(c) = 1000.
45-48 Use the Intermediate Value Theorem to show that there
is a solution of the given equation in the specified interval.
45. -x² + 4x +1=0,(-1,0)
46. 2/x = x - √√x, (2,3)
47. cos x = x, (0, 1)
48. sin x = x² - x, (1, 2)
|
49-50
(a) Prove that the equation has at least one real solution.
(b) Use a calculator to find an interval of length 0.01 that