Version 6.2 Collection of 25 DHS DHS Ryabushko

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Uploaded: 23.07.2017
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DHS - 6.2
Find y ´and y ".
№ 1.25. sin y = xy² + 5.
Find y ´and y ".
№ 2.25. {X = exp (-3t); y = exp (8t).
№ 3.25. For a given function y and calculate the argument x0 y‴ (x0); y = 2^(x²); x0 = 1.
№ 4.25. Write a formula for the derivative of n - th order for the function y = √ x + 7;
№ 5.25. Find a point on the curve y = 5x² - 4x + 1; tangent which is perpendicular to the line x + 6y + 15 = 0.
№ 6.25. By moving the axis Ox two material points; laws of motion which x = 2t³ - 2t² + 6t - 7; and x = 5t³ / 3 - t² + 14t + 4. At some point in time their velocities are equal?

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