4. Suppose that the final digits of your student number are . abcd if it is a 4 digit number or . abcde if it is a 5 digit number. It is not important whether it is a 4 digit number or a 5 digit number, just take the three digits as acd. Consider the function r = a · cos(0) + c • sin(0) + d, which is given via polar coordinates. Find the following: i. Graph and the name of the curve Intersection points of the curve with coordinate axes Area of a loop in the 1st quadrant ii. iii.
4. Suppose that the final digits of your student number are . abcd if it is a 4 digit number or . abcde if it is a 5 digit number. It is not important whether it is a 4 digit number or a 5 digit number, just take the three digits as acd. Consider the function r = a · cos(0) + c • sin(0) + d, which is given via polar coordinates. Find the following: i. Graph and the name of the curve Intersection points of the curve with coordinate axes Area of a loop in the 1st quadrant ii. iii.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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student ID : 000011351 (you will need this for doing the task)
Transcribed Image Text:4. Suppose that the final digits of your student number are . abcd if it is a 4 digit
number or . abcde if it is a 5 digit number. It is not important whether it is a 4 digit
number or a 5 digit number, just take the three digits as acd. Consider the function
r = a · cos(0) + c • sin(0) + d, which is given via polar coordinates. Find the
following:
i.
Graph and the name of the curve
Intersection points of the curve with coordinate axes
Area of a loop in the 1st quadrant
Equation of the curve in cartesian coordinates x, y.
Cartesian coordinates of the point of the curve which is farthest from the
origin (0,0)
Symmetry line of the curve
ii.
iii.
iv.
v.
vi.
For example, your professor's ID number is 0000005121. So, he will study the
function r = 5 · cos (0) + 1· sin(0) + 2. If the student's ID number is like
00000012345 then he or she should consider the function
r = 1 · cos(0) + 3• sin(0) + 4.
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