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Find the limit analytically: 2-4x lim 40 5+3x x? - 2.x -15 lim x 5 2. 3. Find dy/dx of:

Find the limit analytically: 2-4x lim 40 5+3x x? - 2.x -15 lim x 5 2. 3. Find dy/dx of:

Advanced Engineering Mathematics
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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Find the limit analytically: 2-4x lim 40 5+3x x? - 2.x -15 lim x 5 2. 3. Find dy/dx of: x'(x-y)-x-y evaluated at x = 0.001 and y = 0.002 Compute the derivative of the following: 3 g(x) = 5 2.x'x 2 sin x f(x) = 1+2 cos x Pvaluated at x = 1 rad 5. S(x) = x' +5.x -x+4 6. S(x) = e 05* (2 cos 2x+3sin 2.x) 0.5x 7. , evaluated at x =1 rad 8. Find the indicated partial derivative f(x, y,z) = ye + ze" + xe; f (x, y,z) 9. The strength of a rectangular beam is proportional to the square of the width and the cube of the height. Find the height of the largest beam that can be cut from a circular log of radius 15 cm. A ladder 25 ft long is leaning against a wall. If the bottom of the ladder is pulled 10. horizontally away from the wall so that the top is sliding down at 2 ft/sec, how fast is the measure of the angle between the ladder and the ground changing when the bottom of the ladder is 12 ft from the wall?
Transcribed Image Text:Find the limit analytically: 2-4x lim 40 5+3x x? - 2.x -15 lim x 5 2. 3. Find dy/dx of: x'(x-y)-x-y evaluated at x = 0.001 and y = 0.002 Compute the derivative of the following: 3 g(x) = 5 2.x'x 2 sin x f(x) = 1+2 cos x Pvaluated at x = 1 rad 5. S(x) = x' +5.x -x+4 6. S(x) = e 05* (2 cos 2x+3sin 2.x) 0.5x 7. , evaluated at x =1 rad 8. Find the indicated partial derivative f(x, y,z) = ye + ze" + xe; f (x, y,z) 9. The strength of a rectangular beam is proportional to the square of the width and the cube of the height. Find the height of the largest beam that can be cut from a circular log of radius 15 cm. A ladder 25 ft long is leaning against a wall. If the bottom of the ladder is pulled 10. horizontally away from the wall so that the top is sliding down at 2 ft/sec, how fast is the measure of the angle between the ladder and the ground changing when the bottom of the ladder is 12 ft from the wall?
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