Ryabushko A.P. IDZ 6.2 option 17

Ryabushko A.P. IDZ 6.2 option 17

DHS - 6.2
Find y ´and y ".
№ 1.17. tgy = 4y - 5x.
Find y ´and y ".
№ 2.17. {X = 3 (t - sint); y = 3 (1 - cost)
№ 3.17. For a given function y and calculate the argument x0 ‴ y (x0); y = x ^ 4 x Ln; x0 = 1.
№ 4.17. Write a formula for the derivative of n - th order for the function y = ln (4 + x);
№ 5.17. Find out at what points of the curve y = sin2x; tangent makes with the Ox axis angle π / 4.
№ 6.17. By moving the axis Ox two material points; laws of motion which x = 4t³/3 - 7t + 16; and x = t³ + 2t² + 5t - 8. At some point in time their velocities are equal?

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