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- What is the velocity and distance covered in 5 seconds when acceleration is 0.02s^(-7/8)) m/s², where s is in meters? Also, what is the velocity and distance covered in 5 seconds when velocity is (0.02t^(8/3)) m/s, if t is time in seconds and the the doer only starts moving by 1.5 s?How would I evaluate f(0) and f(4) and then estimate the times when their heart rate was between 105 and 125 bpmWhen they invest K dollars, a fishery can produce Q(K) pounds of fish per month, where Q(K) = 104 K1/3. In t months from now, their total investment will be K(t)=0.5t2+300 t +515 dollars.At what rate is the production of fish changing with respect to time 8 months from now?
- Suppose the quantity demanded weekly of the Super Titan radial tires is related to its unit price by the equation p + x2 = 648 where p is calculated in dollars and x is calculated in units of a thousand. How fast is the amount required weekly adjusting when x = 8, p = 584, and the price per tire is increasing at the rate of $2/week?A machine costs P 8,000.00 and an estimated life of 10 years with a salvage value of P500.00. What is its book value after 8 years using straight-line method?A rubber ball bounces to 3/4 of its initial height when dropped on a hard surface. what is the approximate height of the ball dropped from 10 meters after 3 bounces?
- What is the rate of change for h(x) = 8x - 9 on the interval [1, 4]?What is s′(x) when s(x)=ln(5x 3+2x 2+4x+6)?Consider that sugar dissolves in water at a rate proportional to the amount still un-dissolved. Initially, 50kgs of sugar is present and at 5-hour mark there's only 20kg of sugar is left. How much time will it take until 90% of the sugar is dissolved?
- The number N Iinsects in culture grew at a rate proportional to N.The value of N was initially 100 and increased to 332 in one hour .What was the value of N after 90 mnts.a tank initialy holds 80 gallon of a brine solution containing 1/8 lb of salt per gallon. at t=0, another brine solution containing 1 lb of salt per gallon is poured into the tank at the rate of 4 gallon/min,while the well-stirred mixture leaves the tank at the rate of 8 gallon/min. find the amount of salt in the tank when the tank contains exactly 40 gallon of solutionTotal net shipments of aluminum (in billions of pounds) are approximated by g(x) = 16.2 + 2.86 In(x + 1) where x=0 corresponds to year 1990 a) How many pounds of aluminum were sipped in 2004? b) Assuming the continued accuracy of the model, when will aluminum shipments reach 27,400,000,000 pounds?
