95. a. Given points P(r,, 0,) and Q(r2, 0,) represented in polar coordinates, write the ordered pairs in rectangular coordinates. b. Use the rectangular coordinates from part (a) and the distance formula to show that the distance d between P and Q is given by d = Vrỉ +r - 2r,r,cos (0, – 0,).

Q: The curves C1 and C2 are both symmetric with respect to the polar axis. Each of these curves is…

A: As per the question we are given two polar curves C1 , C2 which are symmetric about the polar axis.…

Q: A student is asked to determine the polar coordinates (r, 8) corresponding to the Cartesian…

A: Let's find.

Q: (-1)" Zn+1 n=2

A: The given function is  ∑n=2∞(-1)nn+1 now  now for the integral test =∫2∞1n+1dn the given integral is…

Q: 2. In both parts, full marks will only be obtained if exact answers are given in terms of . √2 etc.…

A:

Q: For each point (x,y), give two sets of polar coordinates, where 0<=theta<=2pi problem : (3√3,-3)

A: Polar coordinates.

Q: 3. Find two different sets of polar coordinates (r. 8) for the point with Cartesian coordinates (x,…

A:

Q: 5. Find two sets of polar coordinates for the Cartesian point (-7, 7/3) such that 0<0<2T.

A:

Q: 2. Convert the polar coordinate (4, 4,=) to Cartesian coordinate

A:

Q: For Cartesian coordinates (x,y)=(1, -√3), find the angle in the polar coordinates in radians.

A: Use the formula for angle in the polar coordinates.

Q: Sketch and find additional polar three points for (2,4pi/3). When r&gt;0 and r&lt;0. And theta is…

A: Given polar coordinate:

Q: (ь) (-6, 1/2) (r, 8) (r> 0) (r. 8) = (r< 0) y 2.0- -1.0 -0.5 0.5 1.0 1.5 1.0 -8 0.5- -10 -12- o-1.0…

A:

Q: 2. Convert the following polar coordinates to cartesian coordinates with (3,-) (-4) 2n c (2.) a. b.…

A: As per Bartlebys answering policy, we can answer only one question with a maximum of three subparts.…

Q: 38. Which of the following could be polar coordinates for the point with rectangular 1 coordinates…

A: Given co-ordinate: Now,

Q: With polar coordinates (3, -1), find (r, θ) for r>0 and r

A: The point in Cartesian co-ordinate is given by .

Q: 6. Convert: a) Coordinates of point D(-1,-5) to polar coordinates, r> 0 and 0 <0<2n.

A:

Q: V16-x polar coordinates to evaluate [' [" V16-x 4.) Use y tan™

A: Let's find.