IDZ 10.1 - Option 16. Decisions Ryabushko AP

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Uploaded: 28.02.2014
Content: 16v-idz10.1.doc (135,5 kB)


1. Find the domain of these functions.
1.16 z = x3y / (3 + x - y)

2. Find the partial derivatives and partial differentials of the following functions.
2.16 z = e2x2-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
3.16 f (x, y, z) = ln (x + y2) - √x2z2, M0 (5, 2, 3)

4. Find the total differentials of these functions.
4.16 z = ctg (y / 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.
5.16 u = ln (e-x + e-2y), x = t2, y = 1 / 3t3, t0 = 1

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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