89. Suppose that seating in a theater is in an area defined in polar coordinates where the pole is located at the front and center of the stage labeled as point A. The seating area is defined by -< 0< and 30 sr < 100, and the values of r are in feet. 4 b. Determine the amount of area for seating. Write the exact answer in terms of T and give an approximation to the nearest square foot. a. Sketch the seating area.

Q: Find the area of the interior of the four-petaled rose r=sin(2θ)

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Q: Find the areas of the regions Inside one leaf of the four-leaved rose r = cos 2θ

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Q: Graph the limaçons. Cardioids r = -1 + sin u

A: A limacon is a curve of the type or where a and b are not equal to . The ratio of a to b is always…

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Q: 1 2 1. Which of the following is a secant of the attached circle? H 1. CD A OI JK АВ D. 3.

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Q: Find the area of the intersection of the circles r = sin θ andr = cos θ.

A: Given: r=sinθr=cosθ

Q: What would be the orientation of the figure below after a reflection across the x-axis? L

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Q: Find the areas of the regions Inside the circle r = 4 sin θ and below the horizontal liner = 3 csc θ

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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: Find the area inside one petal of the four-leaved rose r = sin 2x

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Q: 5 is a point in Quadrant II lying on the unit circle. Suppose that x, 13 Find x. Write the exact…

A: As this point lies on unit circle. So put this point in equation of unit circle and get required…

Q: Suppose that (7/25, y) is a point in Quadrant IV lying on the unit circle. Find y. Write the exact…

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Q: 4. Write down the name of the curves and shade the region that is inside of r = 2 + 2 sine and…

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Q: 3. Find the six circular functions of the angle e generated by an arc with a length equal to .

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Q: How many times do the graphs of the polar curves r=3 and θ=π/6 intersect?

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Q: The area enclosed by one petal of the polar curve r = cos20 is False True O

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Q: Not sure if it's (x-3)^2 + y^2= 9

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Q: Find the area shared by the circle r, = 9 and the cardioid r, = 9(1 - cos 0). .....

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Q: The area enclosed by one petal of the polar curve r = cos20 is 8 True O False O

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Q: 24 Suppose that x, is a point in Quadrant IV lying on the unit circle. 25 - Find x. Write the exact…

A: Given that, The point x, -2425 is 4th quadrent and lies on the unit circle. So we have to find the…

Q: 8. Suppose that x, is a point in Quadrant IV lying on the unit circle. 17 Find x. Write the exact…

A: Equation of circles x^2+y^2=1 Since (x,-8/17) lies on unit circle.means  then satisfies equation…

Q: Graph the limaçon. Cardioids r = -1 + sin u

A: Given- r=-1+sinu To Draw- The graph of the above equation of the limaçon.

Q: Consider the four petaled rose r = sin(2θ). Find the area of one leaf, then prove that the total…

A: Given four petaled rose r=sin(2θ). We need to find the area of one leaf. First let us sketch the…

Q: Find the slope of the tangent line to a given polar curb at the point specified by the value of…

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Q: Find the areas of the regions Inside one leaf of the three-leaved rose r = cos 3θ

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Q: How did he get the value inside the circle? Can you explain step by step and a clear line? 2 { 30²5…

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Q: Find the arc length of AB to the nearest integer * 120° B 4 6. 8.

A: .

Q: 19) Find the area of one leaf of the graph of the polar curve. (Give answer as reduced fraction) r =…

A: Please consider the handwritten solution.

Q: Calculate the length of the side XY given the following data for 29°: Sin 29° 0.485 Cos 29° 0.875…

A: 1) The Tanθ is the ratio of the Opposite side to the Adjacent, where (θ) is one of the acute angles.…

Q: Graph the limaçon. Oval limaçons   r = -2 + sin u

A: A Cardioid is a curve traced out by a point on the circumference of a circle rolling around another…

Q: 3. Suppose that is a point in Quadrant IV lying on the unit circle. Find y. Write the exact value,…

A: Given: The point 35,y is in quadrant IV lying on the unit circle.

Q: 119 Suppose that is an angle in quadrant 2 and that cos y = 2 %3D 169 (). Compute the exact value of…

A:

Q: 6. In the following diagram, O is the centre of the circle and (AT) is the tangent to the circle at…

A: AT is tangent to the circle at Tand OA= 12 cm and the circle radius 6 cm

Q: Use polar coordinates to find the area inside 7 = 4 cos 30 and outside 7 = 2. 1.

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Q: 2. Use the unit circle below to determine the cosine of 3 (0, 1) 120 90 60 45 30 135 27 3 3 2 3 (-…

A: Please refer the attached image for complete solution.

Q: Find the area of one petal in the polar graph of r = 3sin(46).

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Q: udents recorded the total number of pages and chapters in each of several books on the scatterplot.…

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Q: The center of Dis R. Rare}

A: As the centre of group D4 is {R0,R180}•

Q: 1. In the diagram, POQ is a sector of a circle with centre O and radius 10 cm. Q 9) radian x 10 P.…

A: In the ∆OQR let ∠ROQ=θ cos(θ)=610 θ=0.927295218 (in Radians) From the given diagram we find ∠POQ is…

Q: 9.5. If s1 = aj + ib¡ and s2 = a2 + ib2, and s182 = (a¡a2 – bịb2) +i(a¡b2 +azb¡) use the fact that r…

A:

Q: Calculate the length of the astroid x + y = 1 shown in the following figure. X+

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Q: Suppose 0(t) measures the minimum angle between a clock's minute and hour hands in radians. What is…

A: A minute hand completes one revolution in 60 min. This means a minute hand completes 2π in 60 min.…

Q: In AOPQ, the measure of ZQ=90°, OQ = 45, QP = 28, and PO = 53. What is the value of the cosine of Z0…

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Q: usC the distane formula to find the distance between:(8,5) and Co to)

A: The distance between two points is given by- L=x1-x22+y1-y22 The given points are 25,15 &amp;…

Q: Recall that the area inside a polar curve is given by A=°[f(0)P* d0. Describe in your own words why…

A: Let's find.

Q: Find the area of one petal of the rose curve r = 3 cos 30.

A: Let's find.

Q: Graph the following polar equation and set up the equation to find the area enclosed by the polar…

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Q: 28 In the diagram below of circle O, secant ABC and tangent AD are drawn. 12.5 C

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Q: In AJKL, the measure of ZL-90°, JL = 24, LK =7, and KJ = 25. What is the value of %3D %3D the sine…

A: Given information: In right triangle JKL in the diagram below, KL = 7, JK = 25, JL = 24, and ∠L =…

Q: Determine the width of a petal of the curver = 2 cos(20) (The width is defined to be the videst part…

A: Given curve r = 2cos(2 theta) We have to find the width of a petal of the curve r = 2cos(2theta)