ИДЗ 6.2 – Вариант 7. Решения Рябушко А.П.

1. Find the y ´and y´ ´
1.7 y2 - x = cosy

2. Find the y ´and y´ ´
2.7 x = 2t / (1 + t3) y = t2 / (1 + t2)

3. For this function, the argument y and calculate x0 y ´´ ´(x0)
3.7 y = sin2x, x0 = π

4. Write a formula for an arbitrary n-th order of the specified function.
4.7 y = e-2x

5. Solve the following problems.
5.7 Determine the slope of the tangent to the curve x2 - y2 + xy - 11 = 0 in the point (3, 2)

6. Solve the following problems.
6.7 The law of motion of a material point s = 3t4 - t3 + 4t2 + 6. Find its velocity at time t = 2c

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