Open Question: Does reflected light travel away at the same angle as the angle of incidence on a concave spherical mirror?
Open Question: A solar cooker, really a concave mirror pointed at the Sun, focuses the Sun's rays 14.6 cm?
1.What is the radius of the spherical surface from which the mirror was made?
2.If you look at yourself in a shiny Christmas tree ball with a diameter of 9.6 cm when your face is 30.0 cm away from it, where is your image?
3.A dentist wants a small mirror that, when 2.00 cm from a tooth, will produce a 5.4\times (upright) image.
What must its radius of curvature be?
physics help please?
Open Question: The graph of the function F(x)=-(x-5)^3 is concave upward in what interval?
F'(x) = -3(x-5)^2
F''(x) = (-3)(2)(x-5)
F''(x) = -6(x-5)=0
x=5 is a point of inflection
Test for concavity:
Consider the intervals (-8 ,5), (5, 8)
choose any one point from each of the intervals.
if F''(x) < 0 , F(x) is concave down on that interval
if F''(x) > 0 , F(x) is concave up on that interval
F''(x)= -6(x-5)
(-8 ,5): choose x=1; F''(1)=24 > 0, f is concave up on (-8 ,5):
(5, 8): choose x=6; F''(1)=-6 < 0, f is concave down on (5, 8):
F is concave up on (-8 ,5):
