IDZ 10.1 - Option 14. Decisions Ryabushko AP

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Uploaded: 09.01.2017
Content: 14v-IDZ10.1.doc (128 kB)

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1. Find the domain of these functions.
1.14 z = arcsin (x / y)

2. Find the partial derivatives and partial differentials of the following functions.
2.14 z = tg (x3y4)

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
3.14 f (x, y, z) = y / x + z / y-x / z, M0 (1, 1, 2)

4. Find the total differentials of these functions.
4.14 z = cos (3x + y) - x2

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.
5.14 u = x2 / (y + 1), x = 1 - 2t, y = arctgt, t0 = 0

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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