1. 2. 3. 4, 5, Graph the sets of points whose polar coordinates satisfy the ineq

Question

1.

2.

3.

4,

5,

Graph the sets of points whose polar coordinates satisfy the inequalities pi/4 theta 3pi/4, 0 r 3. Choose the correct graph representing the inequalities pi/4 theta 3pi/4, 0 r 3. Find the length of the cardioid r = 5 + 5 cos theta. The length of the cardioid is Replace the polar equation r = - 4 see theta with an equivalent Cartesian equation. Then identify the graph. The equivalent Cartesian equation is . Identify the graph that represents the polar equation r = - 4 see theta. Find the equation of a hyperbola satisfying the given conditions. Asymptotes y = 1/3 x , y = - 1/3 x ; vertices at (6, 0 ) and ( - 6, 0) Choose the correct equation. y2/3 - x2/1 = 1 x2/36 - y2/4 = 1 y2/36 - x2/4 = 1 x2/9 - y2/1 = 1 Consider the foci and corresponding directrices of ellipses centered at the origin of the xy-plane. Use the dimensions in the figure below to find the eccentricity of the ellipse. Then find the ellipse's standard-form equation. The eccentricity of the ellipse is e = .(Simplify your answer. Type an exact answer, using radicals as needed.) The standard-form equation of the ellipse is = 1. (Simplify your answer. Use integers or fractions for any numbers in the expression.) Focus: ( ,0) Directrix: x =

Explanation / Answer

1. (c) IS THE CORRECT GRAPH

2. LENGTH IS 40

3. cartesian equation is x = -4

Answer is GRAPH (D)

4.Equation is (B)

5. Eccentricity = [(5)^1/2] / 6

Equation is x^2 / 36 + y^2 / 31 = 1

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