• In each case, find the hyperbola's standard-form equation from the informationgiven.1. Foci: (0, ±v2),A symptotic : y = ±x2. Foci: (0,±2),A symptotic : y == } +r

A conic section (or in reality conic) is a curve shaped through the intersection of the floor of a…

Answered: • In each case, find the hyperbola's…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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/2x2+1 a) Find the asymptote of the following f(x) =- b) Let an insect is moving along the graph of the parametric equation which is given by x = 2cose and y = 3sine , 0 € [0,27] in the given domain. i. Find the Cartesian equation from these parametric equation ii. Since the position of the sparrow is depends on the position of an insect and sparrow can be found at the position xsparrow = 2xinsect and ysparrow = 5ynsect- Find the position of the sparrow as a function of 6. c) Find the value of c, which satisfies all the conditions of mean value theorem f(x) = x5 – 3x +2 [-1,2] d) By using limit definition, find f'(x), where f(x) = cosxsinx 3x-5
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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• In each case, find the hyperbola's standard-form equation from the information given. A symptotic : y = tx 1. Foci: (0,±√/2), 2. Foci: (0, 12), A symptotic: y = ¹ // + x