Question

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Let P(R, T) represent the tons of apples produced in a single growing season at a particular apple orchard. Prod 80 78 76 74 72 6 9 12 15 18 21 24 R(anlal in indhes 37-2? (a) What is the sign of Py(12, 78) if negative (b) Which is greater? MP15, 78)|| 1P9, 80)|1 (c) Estimate the value of the directional derivative of P(R, T) at (9, 76) in the direction of (d) Estimate P(R, T) dA where Region is 12 s Rs 18, 76 s Ts 80. Use the maximum values of P( Show the values that you used for your answer. (e) Can the vector shown in the diagram below be a possible representation of VP(24, 74)?Select Give your reasons. Thempeahare in )

Answer 1

Solection aGiven that 2 = 3 The sign - Pa is tha divectio n of i 73) Co7-2) 21 36-156 I3 -120 VT3 V PCIS,78) and vp C96)|| Hen ca vP Cis,78)| grater Value c) PCR T) at (9,76) in tue divection of = i Coi) + Cit76j) ot O+76 E 76