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IDZ 10.1 - Option 24. Decisions Ryabushko AP
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Uploaded: 19.07.2020
Content: 24v-IDZ10.1.doc 144,5 kB
Product description
1. Find the domain of these functions.
1.24 z = 5 / (4 - x2 - y2)
2. Find the partial derivatives and partial differentials of the following functions.
2.24 z = e-√x2 + y2
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
3.24 f (x, y, z) = ze- (x2 + y2) / 2, M0 (0, 0, 1)
4. Find the total differentials of these functions.
4.24 z = y2 - 3xy - x4
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.
5.24 u = √x + y + 3, x = lnt, y = t2, 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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