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question figure shows the second derivative of hx for -2 le x le 1 if h-1 0 and h-1 2a explain why hx is never
question 1 the function y tx is positive and continuous with a global maximum at the point 3 3 graph tx if t x and tx
question in this problem we prove a special case of the mean value theorem where fa fb 0 this special case is called
question use rolles theorem to prove the mean value theorem suppose that fx is continuous on a b and differentiable on
question when an electric current passes through two resistors with resistance r1 and r2 connected in parallel the
question as an epidemic spreads through a population the number of infected people i is expressed as a function of the
question 1 a function which has a global maximum at x 0 and a global minimum at x 1 on the interval 0 le x le 1 but
question 1 an interval where the best possible bounds for fx x2 are 2 le fx le 52 a differentiable function f with
question 1 the product of two positive numbers is 784 what is the minimum value of their sum2 the sum of three
question for x gt 0 find the x-value and the corresponding y value that maximizes y 25 6x2 - x3 bya estimating the
question indicate all critical points on the given graphs determine which correspond to local minima local maxima
question 1 if fx is continuous and the graph of f has an inflection point at x p then fp02 a critical point of f must
question find the values of x for whicha fx has a local maximum or local minimum indicate which ones are maxima and
question a grape fruit is tossed straight up with an initial velocity of 50 ftsec the grape fruit is 5 feet above the
question let f be a function with fx gt 0 for all x set g 1fa if f is increasing in an interval around x0 what about
question show graphs of f f f each of these three functions is either odd or even decide which functions are odd and
question you might think the graph of fx x2 cos x should look like a parabola with some waves on it sketch the actual
question 1 a local minimum of f occurs at a critical point of f2 if x p is not a critical point of f then x p is not
question use the derivative formulas and algebra to find the intervals where fx x 50x2 525 is increasing and the
question 1 find values of a and b so that the function fx x2 ax b has a local minimum at the point 6 -52 find the
question the rabbit population on a small pacific island is approximated byp 2000 e53 - 04twith t measured in years
question if water is flowing at a constant rate ie constant volume per unit time into the grecian urn in figure sketch
question if water is flowing at a constant rate ie constant volume per unit time into the vase in figure sketch a graph
question a the following table gives values of the differentiable function y fx estimate the x-values of critical