IDZ 10.1 - Option 11. Decisions Ryabushko AP
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IDZ 10.1 - Option 11. Decisions Ryabushko AP
1. Find the domain of these functions.
1.11 z = √2x2-y2
2. Find the partial derivatives and partial differentials of the following functions.
2.11 z = arcctg (xy2)
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
3.11 f (x, y, z) = y / √x2 + z2, M0 (-1, 1, 0)
4. Find the total differentials of these functions.
4.11 z = 7x3y - √xy
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.
5.11 u = ey - 2x - 1, x = cost, y = sint, 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.
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Detailed solution. Designed in PDF format for easy viewing of IDZ solutions on smartphones and PCs. In MS Word (doc format) sent additionally.
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