IDZ 10.1 - Option 1. Decisions Ryabushko AP

IDZ 10.1 - Option 1. Decisions Ryabushko AP

1. Find the domain of these functions.
1.1 z = 3xy / (2x - 5y)

2. Find the partial derivatives and partial differentials of the following functions.
2.1 z = ln (y2 - e-x)

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
3.1 f (x, y, z) = z / √x2 + y2, M0 (0, -1, 1)

4. Find the total differentials of these functions.
4.1 z = 2x3y - 4xy5

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.
5.1 u = ex - 2y, x = sint, y = t3, t0 = 0

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. Designed in PDF format for easy viewing of IDZ solutions on smartphones and PCs. In MS Word (doc format) sent additionally.

Discount for regular customers! If the total of your purchases from the seller Massimo86 exceeds:

• $30 discount 10%
• $20 discount 7%
• $18 discount 6%
• $15 discount 5%
• $12 discount 4%
• $9 discount 3%
• $6 discount 2%
• $3 discount 1%