Let f(x)=x2−6x.
(a) find the slope of the secant line joining (1,f(1)) and (9,f( slope of secant line =
(b) find the slope of the secant line joining (4,f(4)) and (4+h, f(4+ slope of secant line =
(c) find the slope of the tangent line at (4,f( slope of tangent line =
(d) find the equation of the tangent line at (4,f(

Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?