Solve this quiz and write your answers in comments.
Exercise 1.
Calculate:
Exercise 2.
Calculate:
Exercise 3.
Find all a values for the equality: where a is an imaginary number.
Exercise 4.
Resolve the system of equations:
Exercise 5.
Find all the complex numbers z for the following statements:
Exercise 6.
Show the unity of points z on the complex plane what correspond to an inequity |z-2i+1|≤5.
Exercise 7.
Represent the complex number z=√3 i-1 with its trigonometric form.
Exercise 8.
Find the following derivatives using sum, residual, composition formula for the functions:
- tan x;
- cot x;
- sinh x;
- cosh x.
Exercise 9.
Find derivative of function in the point x.
a. y=√x, x=4
b. y=x*|x|, x=0
Exercise 10.
Find derivatives and differentials for the functions below:
Exercise 11.
Find derivatives and differentials for the functions below:
Exercise 12.
Find differentials for the following functions:
Exercise 13.
Find differentials of the functions using theorem of inverse function derivative:
Exercise 14.
Calculate the integrals:
Exercise 15.
Calculate the integrals:
Exercise 16.
Calculate the integrals:
Exercise 17.
Calculate the integrals:
Exercise 18.
Calculate the integrals:
Exercise 19.
Calculate the integrals:
Exercise 20.
Calculate the derivatives for functions below: