CalculateafƏxaf af afax ay ax (1, -1)f(x, y) = e0.9xyafƏyandax (1,-1)afay (1,-1)afay (1,-1)Round your answers to 4 decimal places.afwhen defined. (If an answer is undefined, enter UNDEFINED.)

Answered: Calculate af ax af Əy = af af af af ax'…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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and Use implicit differentiation to find ду 9x?z + 7z – 7yz = 0 9x2 + 3524 — 7у 18xz дх 9х2 + 3524 - 7у ду 7z ôz 9x2 + 35z4 – 7y ôz 9х2 + 3524 — 7у ôx 18xz ду 7z 9x? + 35z4 – 7y ôz_ 9x? + 35z4 – 7y 18хz ду 7z ôz 18xz ôz 7z 9x? + 35z4 – 7y' ôy 9x? + 35z – 7y
Find fx(3,−5) if f(x,y)=7x^2+5xy−6y^2+9x−8y−9. fx (3,-5) =
Find f,(2, 4) and f,(2, 4) for f(x, y) = x* + 4x?y³ + 8y*. 2.3 f-(2, 4) = f,(2, 4) =
Suppose you are climbing a hill whose shape is given by the equation z = 1600 – 0.005x² – 0.01y², where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 1566). The positive x-axis points east and the positive y-axis points north. (a) If you walk due south, will you start to ascend or descend? ascend descend At what rate? vertical meters per horizontal meter (b) If you walk northwest, will you start to ascend or descend? ascend descend At what rate? (Round your answer to two decimal places.) vertical meters per horizontal meter (c) In which direction is the slope largest? What is the rate of ascent in that direction? vertical meters per horizontal meter At what angle above the horizontal does the path in that direction begin? (Round your answer to two decimal places.)
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of Find — (8, - 9) if f(x,y) — 8x* + 4ху - 7y + 5х - 8y - 5. dx ... df (8, - 9) = (Simplify your answer.) dx

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Calculate af ax af Əy = af af af af ax' ay ax (1,-1) ду f(x, y) = e0.9xy = ax (1,-1) af ay (1,-1) and Round your answers to 4 decimal places. af = -|(₁,-1) when defined. (If an answer is undefined, enter UNDEFINED.)