4(b) Given r =Find the distances from the pole to the vertices and then find the1-2 sin eequation of the conic in rectangular coordinates. Sketch the conic.

The given curve is r=41-2sinθ. To find: Distances from the pole to the vertices, equation in…

Answered: 4 1-2 sin 0 equation of the conic (b)…

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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6/ (2 - sine). 3. Write down the name of the conic given by the polar curve r = Determine the vertices and the center in the polar coordinate and the length of the major axis. Hence, sketch it.
Identify the conic section
Consider the conic section given by the polar equation 4 1-sin 0 (a) (b) (c) (d) r = Without converting into Cartesian form, identify the conic section represented by the equation above. Write out, with justification, the directrix and the focus (or foci) of the conic section. Determine the exact length of the curve of the conic section from 0 = 0 to 0 = π/6. Explain whether the tangent of the curve at the point where 0 = π/4 is orthog- onal to the line y = √2x+1.
11 A ball was thrown uphill from the base of a hill inclined at 30° to the horizontal. The initial velocity was 15 m/s at 60° to the horizontal. a Show that the parabolic path of the ball has parametric equations and y = -5t2 + 15V31. X = part C only b Hence find the Cartesian equation of the path. * ci Find how far up the hill the ball landed (measuring along the slope), ii Find the time of flight.
Consider the conic section given by the polar equation 4 1-sin 0 (a) (b) (c) (d) r = Without converting into Cartesian form, identify the conic section represented by the equation above. Write out, with justification, the directrix and the focus (or foci) of the conic section. Determine the exact length of the curve of the conic section from 0 = 0 to 0 = π/6. Explain whether the tangent of the curve at the point where 0 = π/4 is orthog- onal to the line y = √√2x+1.
I need help in this conic section question- Find the equation of the parabola which has a directrix y = 1, axis x = 2, and passes through the point (5, 6)

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4 1-2 sin 0 equation of the conic (b) Given r=- Find the distances from the pole to the vertices and then find the in rectangular coordinates. Sketch the conic.