Question

24: find Point of Inflection and discuss concavity of graph of func.
40: find all relative extrema, use 2nd derivative test where applicable.

58: Water is running into the vase shown @ a constant rate.
(a) graph depth of water in vase as a function of time.
(b) Does the function have any Extrema? Explain.
(c) Interpret the PI (Point of Inflection) of the graph of d.

Answer 1

My work:

Answer 2

@Shadowys can you help please? :O

Answer 3

Or anyone really :P

Answer 4

lol, um, meanwhile, can you type the original eq.?

Answer 5

okay

Answer 6

#24: f(x) = sinx+cosx [0, 2Pi]
#40: f(x) 2sinx + cos2x [0, 2Pi]
I think mostly i'm having issues with just finding the derivative of trig functions.

Oh, and my friend helped me with number 58 so it's all cool.

Answer 7

for question 40, for the test, you let f'(x) = 0 and solve for x. then, you apply the x-values into f''(x) to test for maxima or minima

Answer 8

point of inflexion in 24 is found by letting f''(x)=0.
also, you'll need the double angle formulas.

Answer 9

yeah, i know how to = 0 but I don't know how to solve the trig to find the x :(