IDZ 10.1 - Option 13. Decisions Ryabushko AP

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Uploaded: 27.06.2017
Content: 13v-IDZ10.1.doc (145 kB)

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1. Find the domain of these functions.
1.13 z = √xy / (x2 + y2)

2. Find the partial derivatives and partial differentials of the following functions.
2.13 z = sin√x-y3

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
3.13 f (x, y, z) = lnsin (x - 2y + z / 4), M0 (1, 1/2, π)

4. Find the total differentials of these functions.
4.13 z = ex + y - 4

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.
5.13 u = arccos (2x / y), 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

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

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