6. What is the eccentricity of the hyperbola whose equation is given by r = 2+3 cos 0 Enter your answer as an exact value in decimal form.

the second picture is the answer. please explain in detail how to get those answers.

Identify the conic represented by each of the following: (explain your answer) r=10/(3+5 sin⁡θ ) r=5/(3-5 sin⁡θ ) r=10/(5-3 cos⁡θ ) r=2/(1-cos⁡θ )

4. For the equation r = ná, identify the conic with focus at the origin, the directrix, and the eccentricity. 7 2–2 sin 0 ?

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…

Question 2. Express the complex number z = 1.5e¹.18 in the rectangular form z = a + jb. Enter your answers correct to three decimal places. Enter a Re(z) : = Enter b Im(z) : =