dz dz Draw a dependency diagram and write a chain rule formula for and dn др z=g(x,y), x = f(n,p), y =h(n,p) Choose the correct dependency diagram for əz/an. B. 7 ?x ду Ən dn B X дz дz дх ду n О А. X dz ду ду ди Z n дz ?х dx on y 一 y - given the functions below. 0 с. X dn дх дх дz n 7 ди ду ду дz X D. дz дх дх dn Z n дz ду у ду dn
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- if u=f(x,y), x=g(w) and y=h(w), using chain rule, what is ∂u/∂w?Solution of an (r, q) system yields the optimal values as (r, q) = (47, 115). Based on these results, which of the following can be used for an approximate (s, S) policy? (s: reorder level, S: order-up-to level)? Select one:a. (47, 162)b. (68, 115)c. (68, 162)d. (47, 68)e. (47, 115)find g(u(x,y,z), v(x,y,z), w(x,y,z)) if g(x,y,z)=zsinxy, u(x,y,z)=x2z3, v(x,y,z)=πxyz, and w(x,y,z)=xy/z
- express ∂w ∂u and ∂w ∂v using the chain rule and by expressing w directly in terms of u and v before differentiating. Then evaluate ∂w ∂u and ∂w ∂v at the point (u,v)=− 2/3 ,2.A mining compariy produces'100 tons of red ore and 80 tons of black ore each week. These can be treated in different ways to produce tree different alloys, soft hard or strong. To prbduce l ton of soft alloy requires 5 tons of red ore and 3 tons of black. For the hard alloy the requirements are 3 tons of red and 5 tons of black. The profit per ton from selling the alloys (after allowing for production but not mining costs, which are regarded as fixed) are 5250, $300 and 5400 for soft, hard and strong respectively. Find the optimal combination to maximize the company's profit.What kind of transformation results in applying the rule (x, y) → (x + 5, y)?
- At a price of $27.75, producers will provide 8 items, while at a price of $33.25, they will provide 30 items. Consumers will purchase 85 of these items if the price is $90.5, but will purchase 131 items if the price decreases to $80.25. Find the market equilibrium point. (Enter your answers as a comma-separated list.) (x, y) =For which value of k is { (1, 2, 3), (1, 0, 1), (2, k, 8) } a linearly dependent set?Consider a linear spline with 50 knots. Which of the following statements is correct? The linear spline function is built up of 51 pieces that join together at points whose x-axis coordinates are given by the 50 knots. The linear spline function is built up of 51 pieces that join together at points whose y-axis coordinates are given by the 50 knots. The linear spline function is built up of 51 pieces that are all parallel to the x-axis. The linear spline function is built up of 50 pieces that are all parallel to the x-axis.
- A group of retailers will buy 92 televisions from a wholesaler if the price is $400 and 132 if the price is $350. The wholesaler is willing to supply 56 if the price is $350 and 136 if the price is $440. Assuming that the resulting supply and demand functions are linear, find the equilibrium point for the market. can you put the answer here > in a (q,p) final form (q, p) = ( )A company manufacture two different types of call phone F and E, each unit of call phone S costs (OR .7)and each unit of call phone E costs (OR. 6). The company insists that total costs for the two types call phone be (OR .400). Assuming that company manufactures in total 88 products. How many products are of type Fand E? (solve the problem using Crammer's Rule)Ornithologists have determined that some species of birds tend to avoid flights over large bodies of water during daylight hours. It is believed that more energy is required to fly over water than land because air generally rises over land and falls over water during the day. A bird with these tendencies is released from an island that is 3 km from the nearest point B on the shoreline, flies to a point C on the shoreline, and then flies along the shoreline to its nesting area D. Assume that the bird instinctively chooses a path that will minimize its energy expenditure. Points B and D are 8 km apart. (Round your answers to two decimal places.) In general, if it takes 1.3 times as much energy to fly over water as land, to what point C should the bird fly in order to minimize the total energy expended in returning to its nesting area?