(b) A conic section is given in polar form by6√9-5 sin² 0i. Find the Cartesian equation of this conic section.ii. Hence, or otherwise, sketch the graph of r =69-5 sin² 0

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Answered: (b) A conic section is given in polar…

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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4. Consider the equation z5 = −2+2√√3i where z € C. (a) Find all solutions to this equation and write your answers in polar form. (b) Sketch the solutions you found in part (a) on the xy-plane. N\ - 2 > +
2. Do the following calculations (a) Write –V3 + i in polar form. (b) Find all 3rd roots of 8i. (c) Find ALL solutions of z2i = -1.
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On the left side, the polar function r = 2 cos(0)+3 sin(0) is graphed. Enter a possible rectangular equation for this function into the box below. In the D2L Discussion Board, post this rectangular function that you found and explain how you know that this rectangular equation matches the above polar function. 5 HT/2 2TT/3 TT/3 5TT/6 TT/6, TT 画 Submit 7T/6 11 Tт/6 4TT/3 5TT/3- 3TT/2 5-
the second picture is the answer. please explain in detail how to get those answers.
Find the values of z such that z^5 = −i. Write your answers in polar form and sketch their locationin the complex plane.
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2. Graph the lines and conic section r = 8/(4 + sin 0) Check figure 11.51 in the textbook.
Steps to Sketching the Sinusoidal Functions: 1. Lightly sketch the midline line y = D. The midline "splits" the graph into upper and lower halves. 2. Lightly sketch the horizontal lines y=D+A and y = D-A. These two lines determine a horizontal strip inside which the graph of the sinusoidal function will oscillate. Notice, the points where the sinusoidal function has a maximum value lie on the line y = D + |A|. Likewise, the points where the sinusoidal function has a minimum value lie on the line y = D-|A|. 3. Lightly sketch the vertical lines at x = C and x=C+B. One cycle of the sinusoidal function will lie between these two lines. 4. Sketch one cycle of the sinusoidal function in the box created by steps 2 & 3. The important points (minimums, maximums, and crossing the midline) will B, C+B. occur when x= C, C+-B, x= C, C+ B, C+ B, C+ B₁C 4 2 4 a. Sine, A > 0: mid-max - mid - min - mid Sine, A 0: max - mid - min - mid - max Cosine A < 0: min - mid-max - mid - min 5. The fact that the…

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(b) A conic section is given in polar form by 6 √9-5 sin²0 i. Find the Cartesian equation of this conic section. ii. Hence, or otherwise, sketch the graph of r = 6 √9-5 sin² 0