9. Draw the polar curve defined by r = 4 - 2 cos 30. 10. Convert the polar equation to rectangular form. Simplify your answer r²csc ³0 = r² cot²0 csc 0 +2rsec²0 3. A big circle is inscribed in a square. A small circle is tangent to the big circle and to two sides of the square. If the diagonal of the square is 2 cm, what is the exact area of the small circle? 4. A frustum of a regular pyramid with central angle is inscribed in a frustum of a cone whose height and slant height are 12 and 13 respectively. Find the exact volume of the frustum of the pyramid if the volume and total area of the frustum of the cone are 7007 and 320m, respectively. Draw the frustums.

Q: Give two other polar coordinates for the point (2,pi/4). Make sure one has a positive radius and the…

A: Given, r, θ=2, π4 To find other two polar coordinates. Here,r=2 and θ=π4

Q: With the following polar functions for spirals. When theta increases to infinity, what happens to…

A: This is question of calculusHere angle and the radius function Is given We have to find that is…

Q: Convert the following polar coordinates to Cartesian coordinates. Please use 6 significant digits in…

A: The objective is to convert the  polar coordinates to Cartesian coordinates. We have to use 6…

Q: II. Let C₁ be the unit circle, C₂ be the polar curve with polar equation r = 2 cos 30, and points A…

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Q: 11n (a) 0 =- 6. (b) r sin e=6 Part (b) Part (a) 2 一 围キ 田十8

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Q: 16) Convert –15 + 8j to polar form. Round 0 to 1 decimal point. 17) Convert 640° to rectangular…

A: z=-15+8jpolar form of z :z=rcosθ+isinθ     r=x2+y2tanθ=yxz=-15+8j      -15,8    2nd quadrant…

Q: The curve with polar equation 24 3 cos 0 + 4 sin 0 = s a line. Find the slope and the y-intercept of…

A: We will have to covert the polar equation 3cosθ+4sinθ=24r in Cartesian form. Also, we will have to…

Q: The polar equation r = 4 sin 40 is symmetric to what axis? O Line OX or the polar axis pole or the…

A: r=4sin4θ Replace r, θ by -r, -θ, we get ⇒-r=4sin4-θ⇒-r=4sin-4θ⇒-r=-4sin4θ…

Q: 3) Construct a table using different values of 0 for the following polar equation. Use those points…

A: The polar equation is r=3cosθ+3

Q: Rectangular Polar x2 + y2 = 4 y = 4 X = 10 r = 3 r sin 0 = 4 r= - 2 sec 0

A: Okay I am solving in step 2

Q: Use the two polar equations r=-6*cos(theta) and r=6 - 6*cos(theta) to answer parts a through b a.…

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Q: Given the following equation: r=3(1+cos0) i)By using a mathematical software, sketch the polar…

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Q: Name the line of symmetry as polar axis or 0= or neither. a. r=2cose b. r=2csc0 c. r = 3+5 sec 0 d.…

A: For θ = π2 symmetry,Replacing (r, θ) with (-r, -θ) gives the same result.Similarly,For polar axis…