Here is the question for a Calc 1 online class: The position function s(t) = -4.9t^2 + 300 gives the height (ft) of an object falling from 300 feet. The velocity function is given as a limit as x approaches 0 v(t)=s(t+Δt) -s(t)/Δt.  1. Determine the velocity of an object as a function of time by evaluting the limit.

Ladd tior X(+) derivative base of the ladder slides away from the wall at a rate of 2 feet per second. How fast is the top of the ladder moving down the wall when 1-dder is 5 feet from the wall? f+lc 2. A conical oil tank with vertex down has a radius of 24 feet at the top and is 36 feet high. Oil is pumped out of the tank at a rate of 18 feet³ per minute. (a) How fast is the radius at the top of oil changing when the radius at the top of the oil is 30 feet? (b) How fast is the depth of oil changing when the radius at the top of the oil is 3 feet? r=24ft h=3uft ܚܢ 3 beds do's

The cubic function of best fit to data is T(x)= -0.0103x^3+0.32x^2-1.37x+46.09 Use this function to predict the temperature at 5 pm.

Sarah pays a flat rate plus a rate per minute for her phone plan as shown in the graph above. The cost of Sarah's phone plan, C(t), can be represented by which of the following functions? A: C(t) = -0.10t+25 B: C(t) = 0.10t+25 C: C(t) = 25(0.10)^t D: C(t) = 25(1+0.10)^t

Find the relative maxima and minima, if any, of h(t)=3-t^2/3 without using a graph.