Find the area of the region common to the circles r=-6 sin 9 and r= 3.

Q: the circle is the tangent to both x and y axis. A point on the circle is (2,1). Calculate the area…

A: This question is based on Circle.

Q: Evaluate ∫ C ( 2 + x^2 y ) d s , where C is the upper half of the unit circle.

A: We have to evaluate the line integral: ∫C2+x2yds where C is the upper half of the unit circle.

Q: 5. Sketch the circles x + y = why the circles must be internally tangent. (Hint: Find the two radii…

A: Given: i. x2+y2=225ii. x-62+y-82=25 To Find: Sketch the given circles and explain why the circles…

Q: Which projection of (cost, cos 2t,sin t) is a circle?

A: Which projection of (cost, cos 2t,sin t) is a circle?

Q: Find the directrix of the parabola r = 25/(10 + 10 cos θ)

A: The parabola r=2510+10cosθ, we have to find the directrix of this given parabola.

Q: Determine the area inside 1 petal of the polar flower graphed by the equation r = 2 sin 50. -2 --2-…

A: The equation is r=2sin5θ Now we have to find where the loop begins and ends by putting r=0 0=sin5θ…

Q: In a Geometry class, Rosalie draws two circles on the coordinate grid as shown. She asks her…

A: Here we have to determine the correct possible responses of her students.

Q: Can you please show using polar coordinate graph the location of the point (-13,-110 pi/4) and point…

A: Given: To show using polar coordinate graph the location of the point (-13,-110π/4) and point (13,…

Q: Find the distance between the plances 3x +y-4z = 2 and 3x+ y- 4z = 24

A: Find the distance between the planes   3x+y-4z=2    and    3x+y-4z=24

Q: Two circles with centres A and B are given below. Circle A: (x-2)'+(y-3)'-9 Circle B. (x-1)…

A:

Q: Find the distance between the pair of points. (2, 6) and (-7, -4) 90 -1 O Visi 181 O vio

A:

Q: Find the acute angle between 3x – 2y + 7 = 0 and 2y + 4x – 3 = 0 (to nearest degree).

A: Given, 3x-2y+7=0      .....12y+4x-3=0      .....2

Q: Please sketch the plot of the polar curve sin(0) and then calculate the shaded area for 0 < 0 < 7/4

A:

Q: Find the area of the circle whose center is at (2, -5) and tangent to the line 4x+3y-8=D0

A: Area of the circle = 9π sq.units

Q: Using the polar coordinate system, could you please shade the region between 0 and 1.80pi, then plot…

A: Given, polar coordinate system r,θ where r is radius and θ is angle region,  0&lt; θ&lt;1.80π points…

Q: Find the rectangular coordinates (r,theta) (-10,4pi/3)

A: to find:- Rectangular coordinates, (x, y). given:- Polar co-ordinates, (r, θ) = (-10, 43π).

Q: [3] Determine the area of the triangle determined by the polar point (18, 240").

A: