b). We all use antennas at our homes and a fact lies that antennas transmit some form of radiation. The radiation, however is not uniform in all directions. While conducting a research of the antenna radiation, a group of scientists modeled the intensity from a particular antenna by r=acos² 0. 1). Convert the polar equation to rectangular coordinates. (ii). Use Mathematica to plot the model for a = 4 and a = 6. (iii). Find the area of the geographical region between the two curves in past (ii). c). In polar coordinates, a polar function exists by the name of strophoid, with equation r=sec0-2cos 0. Consider the equation of this strophoid that is bounded as 1). Plot the strophoid. (11). Convert the strophoid equation to rectangular coordinates. (iii). Find the area enclosed by the loop.
b). We all use antennas at our homes and a fact lies that antennas transmit some form of radiation. The radiation, however is not uniform in all directions. While conducting a research of the antenna radiation, a group of scientists modeled the intensity from a particular antenna by r=acos² 0. 1). Convert the polar equation to rectangular coordinates. (ii). Use Mathematica to plot the model for a = 4 and a = 6. (iii). Find the area of the geographical region between the two curves in past (ii). c). In polar coordinates, a polar function exists by the name of strophoid, with equation r=sec0-2cos 0. Consider the equation of this strophoid that is bounded as 1). Plot the strophoid. (11). Convert the strophoid equation to rectangular coordinates. (iii). Find the area enclosed by the loop.
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter8: Complex Numbers And Polarcoordinates
Section: Chapter Questions
Problem 7GP
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