IDZ 10.1 - Option 22. Decisions Ryabushko AP

IDZ 10.1 - Option 22. Decisions Ryabushko AP

1. Find the domain of these functions.
1.22 z = 4x + y / (2x - 5y)

2. Find the partial derivatives and partial differentials of the following functions.
2.22 z = tg (2x-y2 / x)

3. Calculate the value of partial f´x (M0), f´y (M0), f´z (M0), for the function f (x, y, z) at the point M0 (x0, y0, z0) with an accuracy of to two decimal places
3.22 f (x, y, z) = ln (5√x + 4√yz), M0 (1, 1, 1)

4. Find the total differentials of these functions.
4.22 z = arcctg (x - y)

5. Calculate the value of the derivative of a composite function u = u (x, y), where x = x (t), y = y (t), at t = t0 up to two decimal places.
5.22 u = arcsin (x / 2y), x = sint, y = cost, t0 = π

6. Calculate the values of the partial derivatives of the function z (x, y) given implicitly at the point M0 (x0, y0, z0) accurate to two decimal places.

Additional information:

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