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Solve the following problems:
1. The rectangular coordinates of a point are given. Find out the polar coordinates of the points. Express θ in (-5, 5)
2. Plot the complex number.
z = 4 + 5i
3. Find the absolute value of the complex number.
z = 5i
4. Write the complex number in polar form. Express the argument in degrees.
5. The polar coordinates of a point are given. Find the rectangular coordinates of the point.
(-4, 135o)
For the points and Q, find (a) the distance d (P, Q) and (b) the coordinates of the midpoint of the segment PQ. d= (P,Q)
Under certain conditions, the pressure of gas varies inversely with its volume. If a gas with a volume of 150 cubic inches has 29 pounds of pressure, find the amount of pressure 145 cubic inches of gas is under.
What computer applications can be used to graph systems of equations? Have you ever personally used any applications to graph an equation?
what are the dimensions of the silo (radius and height of cylindrical tower) that minimize the cost of the material? Assume the silo has no floor and no flat ceiling under the dome.
Linear programming - What are the sensitivity limits for the constraints
Two balls of same mass are projected one vertically upwards and the other at angle 60o with the vertical. Find the ratio of their potential energy at the higest point.
Describe a favorite recreational activity in terms of its iterative components, such as solving a crossword or Sudoku puzzle or playing a game of chess or backgammon. Also, mention any recursive elements that occur.
In this case, what is the optimal mix of frames that Ryan should produce, and what is the profit associated with this mix?
Density function
A grain silo has a cylindrical shape. Its diameter is 14ft , and its height is 29 . What is the volume of grain that can be stored in the silo?
Darla wants to plant strawberries in her rectangular garden. If the dimensions of the garden are ' by ' and each plant must be 3 feet away from any other plant or any edge, what's the maximum number of plants she can plant?
during one revolution of the ferris wheel for how many minutes is the passenger at least 100 feet above the ground?
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