The task 133.
Given function: z = f (x; y); z = (x; y); z = g (x; y).
Find: a); ; ; ; b); . Show what.
z = f (x; y) = 7 - y2 + x3y4 + ex (1 + y); z = (x; y) = y2 cos (xy); z = g (x; y) =.
The task 143.
Given the function z = f (x; y) and point A (; y), B (;). Calculated:
a) the exact value = f (x; y) and = f (x; y);
b) the total differential at the point A;
c) an approximate value of the function f (x; y) at point B, replacing the increment of the differential in the transition from point A to point B.
Find the absolute and relative errors.
z = f (x; y) = xy - 3x2 + 14; A (1, -2), B (0.9, -1.8).
The task 153.
Given a function z = f (x; y), point A (xA; yA) and the vector. Search:
a) the gradient of the function z = f (x; y) at point A;
b) the derivative of the function z = f (x, y) in the direction of the vector.
The task 163.
We received five experimental values \u200b\u200bof the function y = f (x). Least squares method to find a linear approximation of the function y = f (x) as y = ax + b. Build the drawing.
xi January 2 3 4 5
yi 8 6.1 5.9 3 3.2
The task 176.
Find indefinite integrals using a table of integrals, integration of basic rules and regulations of the linear replacement.
The task 186.
Find indefinite integrals by replacing variable or integration by parts.
The task 196.
Find the indefinite integral of a rational fraction.
The task 206.
Find the area of \u200b\u200bthe figure bounded by the specified lines.
The task 216.
Find the work force, H, when moving material point along the x-axis on the interval, m.
The task 223.
Find the general solution of the differential equation.
The task 233.
Find the general solution of homogeneous differential equations.
The task 243.
Solve the Cauchy problem.
The task 253.
Find the general solution of the inhomogeneous linear second order differential equation.