IDZ 10.1 - Option 23. Decisions Ryabushko AP

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Uploaded: 28.02.2014
Content: 23v-idz10.1.doc (161 kB)

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1. Find the domain of these functions.
1.23 z = √3x-2y / (x2 + y2 + 4)

2. Find the partial derivatives and partial differentials of the following functions.
2.23 z = ctg√x / (x-y)

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
3.23 f (x, y, z) = -2x / √y2 + z2, M0 (3, 0, 1)

4. Find the total differentials of these functions.
4.23 z = √3x2-y2 + x

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.
5.23 u = x / y-y / x, x = sin2t, y = tg2t, 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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