Whe YOUR TURN 1 Find where the function is increasing and decreasing. 6. 4. SOLUT 2. then d x-value 2 4 6 greater decreas Ho where i derivati point. R negative 8.
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- Step 3 of 3: Use R′�′ to determine if R is increasing at p=15�=15. Is your answer consistent with the fact that the demand is inelastic at this p?What is the equation for a linear function with a vertical stretch/compression by 2/5. BE SURE TO USE f(x)=Let Y (N) be the yield of an agricultural crop as a function ofnitrogen level N in the soil. A model that is used for this relationship is Y (N) = 2N/ 3+ N2 for N ≥ 0 ,(where N is measured in some units.) Find the nitrogen level that maximizes yield.
- Life Expectancy at 65 Using data for selectedyears from 1950 and projected to 2050, the functiony = 0.077x + 13.827 gives the life expectancy atage 65, with y equal to the number of additional yearsof expected life at age 65 and x equal to the numberof years after 1950.a. Why is this a linear function?b. Find and interpret the slope of the graph of thisfunction.(Source: Social Security Administration)1) Determine the average rate of change between r = 10 000 km and r = 15 000 km. 2) Determine the instantaneous rate of change at r = 15 000 km. 3) How much energy must be given to the satellite if r = 12 000 km?Note: It is advance function not physics. Please explain everything in detials (how you write the final answer)The sales of a book publication are expected to grow according to the function S = 300000(1-e-0.06t) where t is the time, given in days What is the limiting value approached by the sales function?
- derive Da = kCn-1AOτ as function of conversion Xa for 0th and 2nd in PFR with variable volume.A projectile is thrown from the top of a building, onto the ground below. the height of the projectile after t seconds is represented by the function h(t) = -5t2 + 5t + 20, where h(t) is the height, in meters. what is the average rate of change of the projectile from t= 1s to t=2sA long distance company charges a monthly fee of $4.95 and $0.02 per minute. Let f(x) be the monthly long distance bill and x represent the total minutes of long distance time during the month. What is the initial value of this function?
- Suppose the rate at which consumers purchase peanut butter is increasing at a rate given by f ′(t) = 6t2 + e0.22t + 5 per week. What is the total increase in peanut butter purchased from week 3 to 8?Suppose you own a restaurant and have a cook whose ability and attitude you are suspicious of. One ofthe dishes on the menu is duck cassoulet, which uses duck legs that have been slow fried over a couple of hoursin oil that does not exceed a temperature of 175 degrees. This is a time consuming and monotonous process,but one that results in excellent meat that you sell for a large mark-up. You suspect your cook is lazy anddoesnít properly monitor and maintain the oil temperature. You take a random sample of 12 duck legs andtake them to a forensics lab where you are able to discover the maximum temperature the meat has reached.Within your sample the mean maximum temperature of the duck legs is 182 degrees with a standard deviationof 5 degrees. Meat cooked precisely to 175 degrees is what your cook is supposed to do. Test the claim thatyour employee is capable (meaning he doesnít over-fry the meat) at the 90% conÖdence level.The PA Liquor Control Board orders 30,000 cases of French winein a year. It costs 100$ to place an order and 5 $ to store one case for one year. Let x be the number of orders in a year. The number of cases in each order (as a function of x) is __________ The total cost is y = :The derivative is: The thing to do is: Order _____________ times a year