IDZ 10.1 - Option 11. Decisions Ryabushko AP

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Uploaded: 19.07.2020
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1. Find the domain of these functions.
1.11 z = √2x2-y2

2. Find the partial derivatives and partial differentials of the following functions.
2.11 z = arcctg (xy2)

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
3.11 f (x, y, z) = y / √x2 + z2, M0 (-1, 1, 0)

4. Find the total differentials of these functions.
4.11 z = 7x3y - √xy

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.
5.11 u = ey - 2x - 1, x = cost, y = sint, t0 = π / 2

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

Detailed solution. Decorated in Microsoft Word 2003. (Target decided to use formula editor)
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