Find the general solution for the second order equation in the image 5 d²a2dt²+10 dq + 1 q =dt0.125 sint

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Answered: 5 d²q dt² + 10 dq + 1 q = 25 sint dt…

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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Hi. I got the answer to this question wrong despite your experts solutions. Please can you check to see where I went wrong and correct it.
Suppose you are climbing a hill whose shape is given by the equation z = 1300- 0.005x² - 0.01y², where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 1266). 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 O descend At what rate? 1.6 X descend (b) If you walk northwest, will you start to ascend or descend? O ascend vertical meters per horizontal meter At what rate? (Round your answer to two decimal places.) .57 vertical meters per horizontal meter X (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.) 60.81
A parabola goes through points (1,0), (2,3), (-1,0). Find the equation of this function.
Write the equation of two different parabolas that have a vertex of (3,-1), and that pass through the point (0,2)
what is its terminal point?
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.)
Find a, b, and c so that the graph of the parabola with equation y=a+bx+cx^2 passes through the points (-2, 3), (-1, 2), and (1, 6).

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5 d²q dt² + 10 dq + 1 q = 25 sint dt 0.1