Relationships between its cartesian and polarcoordinates

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Question 1:

Determine slope m of "oa" based on the following diagram.

734_figure.jpg

Question 2:
Analyse the following diagram and write the equation in GENERAL FORM of the linepassing through the point (3.15, 5.88) and having an angle of inclination of 27.8°.

433_figure1.jpg

Question 3:
If y = tan, then A will be positive in which quadrant(s)?

Question 4:
From the diagram given below, write the relationships between its Cartesian and Polarcoordinates.

2426_figure2.jpg

Question 5:
Determine if the following two lines intersect or not.
L1: [x, y] = [1, 5] + s [?6, 8]
L2: [x, y] = [2, 1] + t [9, ?12]

Question 6:
Produce a sketch of y=5 sin?(A+30°) from A=0° to A=360°. Alongside, show thesketch of y=5 sin A as a dotted line.

Verified Expert

The assignment deals with the concepts of basic coordinate geometry. The problems mostly involved calculating the slope of a line. The assignment also shows how to write the equation of a line given two points. It introduces the concepts of parallel lines and intersecting lines through the slope. It also introduces the change of coordinate systems. Change of coordinate is a very important thing in physics while solving a problem. The assignment was typed in LATEX. The plot was done in python.

Reference no: EM131673399

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