21. [0/0.43 Points] DETAILS PREVIOUS ANSWERS BERRAPCALC7 3.7.005. MY NOTES ASK YO Find the differential of the function. x +9 y : x2 + 1 (9 + x) (2x) dy = ( 1 + x 2 ) 2 dx X Evaluate it at the given values of x and dx. x = 2 and dx = 0.25 dy = -0.44 X 22. [-/0.43 Points] DETAILS BERRAPCALC7 3.7.011. Find and compare the values of dy and Ay for the function at the given values of x and dx = Ax. (Round your answers to two decimal places.) 7x + 4 y = at x = 1 and dx = Ax = 0.2 x2 + 1 dy = Ay =9. [-10.43 Points] DETAILS BERRAPCALC7 3.3.013. Find (without using a calculator) the absolute extreme values of the function on the given interval x) : 8 , xon [0, 8] absolute rnin S absolute n'iax S 10. [l0.43 Points] BERRAPCALC7 3.3.031. MY NOTES ASK YOUR TEACHER ASK YOUR TEACHER Electrical generation from wind turbines (large Windmills") is increasingly popular in Europe and the United States. The fraction of the Wind's energy that can be extracted by a certain type of turbine is x) : xQ >02, where x is the fraction by which the Wind is slowed in passing through the turbine. Find the fraction x that maximizes the energy extracted. 11. [40.43 Points] BERRAPCALCT 3.3.043. ASK YOUR TEACHER A farmer wants to make three identical rectangular enclosures along a straight river, as in the diagram shown below. If he has 960 yards offence, and if the Sides along the river need no fence, what should be the dimensions of each enclosure it the total area is to be maximized7 11. [-/0.43 Points] DETAILS BERRAPCALC7 3.3.043. MY NOTES ASK YOUR TEACHER A farmer wants to make three identical rectangular enclosures along a straight river, as in the diagram shown below. If he has 960 yards of fence, and if the sides along the river need no fence, what should be the dimensions of each enclosure if the total area is to be maximized? side perpendicular to the river yd side parallel to the river yd 12. [0/0.43 Points] DETAILS PREVIOUS ANSWERS BERRAPCALC7 3.4.005. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Rent-A-Reck Incorporated finds that it can rent 80 cars if it charges $40 for a weekend. It estimates that for each $5 price increase it will rent two fewer cars. What price should it charge to maximize its revenue? $ 38 X How many cars will it rent at this price? 11 X cars13. [-10.43 Points] DETAILS BERRAPCALC7 3.4.013. MY NOTES ASK YOUR TEACHER A homeowner wants to build, along her driveway, a garden surrounded by a fence , $2 per foot \\j: ,,x>( x \"(-1 t.;, e/ $6'per feat driveway G) If the garden is to be 3,200 square feet, and the fence along the driveway costs $6 per foot while on the other three Sides it costs only $2 per foot, find the dimensions (in ft) that will minimize the cost. length along the driveway S ft length perpendicular to the driveway S ft Find the minimum cost (in dollars). $: 15. [0/043 Points] DETAILS PREVIOUS ANSWERS BERRAPCALC'.' 3.5.015. MY NOTES ASK YOUR TEACHER PRACTICE ANI The reproduction function for king salmon in a sea is Hp) : pz + 7.5;), where p and f(p) are in thousand metric tons. Find the popuIation that gives the maximum sustainable yield, and the size of the population x thousand metric tons size of the yield 663? 5 x thousand metric tons 16. [-10.43 Points] DETAILS BE RRAPCALC7 3.6.005. For the equation, use implicit differentiation to find %. x y x3:5x 17. [40.43 Points] DETAILS BE RRAPCALC7 3.6.015. For the equation, use implicit differentiation to find %. x y4iy2+yi2=x d'x MY NOTES ASK YOUR TE. MY NOTES ASK YOUR TE