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IDZ 10.1 - Option 9. Decisions Ryabushko AP
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Uploaded: 19.07.2020
Content: 9v-IDZ10.1.doc 127 kB
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1. Find the domain of these functions.
1.9 z = √9-x2-y2
2. Find the partial derivatives and partial differentials of the following functions.
2.9 z = ln (3x2 - y4)
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
3.9 f (x, y, z) = arcsin (x2 / y - z), M0 (2, 5, 0)
4. Find the total differentials of these functions.
4.9 z = arcsin (x + y)
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.
5.9 u = x2e-y, x = sint, y = sin2t, 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)
For the convenience of viewing IDZ solutions on smartphones, an additional file in PDF format is sent
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