IDZ 10.1 - Option 20. Decisions Ryabushko AP

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Uploaded: 28.02.2014
Content: 20v-idz10.1.doc (146 kB)

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1. Find the domain of these functions.
1.20 z = √3-x2-y2

2. Find the partial derivatives and partial differentials of the following functions.
2.20 z = cos (x - √xy3)

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
3.20 f (x, y, z) = z / (x4 + y2), M0 (2, 3, 25)

4. Find the total differentials of these functions.
4.20 z = √3x2-2y2 + 5

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.
5.20 u = y / x-x / y, x = sint, y = cost, t0 = π / 4

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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