Find a polar equation for the curve represented by Cartesian equation x? = 22y. O A.r = 44 tan 6Osec 0 O B.r = 484 tan Osec 0 O C.r = 22 tan 0sec 0 O D.r = 484 sin Ocos 0 OE.r = 22 sincos e

Q: If the slope of the tangent line to the polar curve r = 10 cos 0 at the point P is –1 and (r, y) are…

A:

Q: Which of the following Polar equation represents the following Curve -2 1. (a)r = 1- sine (b) r = 2+…

A:

Q: r = -4 sin 0,

A:

Q: 6. What is the equation of the polar curve shown? a) r = -4 sin 30 c) r = 4 cos 30 b) r = 4 sin 30…

A: Since you have asked multiple question so we will be answering only first question. Given polar…

Q: Convert the following polar equation to the Cartesian. Describe the resulting curve. r = 2 sin 0+2…

A: Here we will convert the given polar equation in cartesian form and we will describe the curve,

Q: What is the slope of the line tangent to the polar curve r = ㅠ Ө - ? O 1 √√3 ✓ 2 T -||♡33 √√3 cos at…

A:

Q: Find the exact length of the polar curve. r=(theta)2, 0 (less than or equal to) theta (less than or…

A:

Q: Find a polar equation for the curve represented by the given Cartesian equation. (Assume 0 < 0 <…

A: To convert Cartesian equation into polar equation , put x=rcosθ, y=rsinθ in y=3x3 ⇒rsinθ=3 ×rcosθ3…

Q: Find the slope of the polar curve at the indicated point. TT 7) r = 5 cos 30, 0 =

A:

Q: Which of the following polar curves is a cardioid? A. r= cos ? () B. r=2+3sine C. r= 3- 2 cose D. r…

A: Use the standard form of polar equation of cardioid and compare with the given options.

Q: Find the exact length of the polar curve r=1+ cos 0

A:

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

A:

Q: Find the points at which the polar curve, r = 4 cos θ , has horizontal and vertical tangent lines.

A:

Q: Consider the curve C of equation (2x² – y + y³)² = a² + y? From the choices given, select the one…

A:

Q: Find a polar equation for the curve represented by the given Cartesian equation. (Assume 0 ≤ 0 <…

A:

Q: What is the length of the polar curve below? = 2 cos(0) for 0 sos 4

A:

Q: Find a polar equation of the form r = f(0) for the curve represented by the Cartesian equation x + y…

A:

Q: Which of the following polar curves is a cardioid? * r = cos? r = 2 + 3 sin 0 O Option 1 Option 2…

A:

Q: Which of the following shows the correct sketch of the polar curve r = -9+ 9 sin(0)? 15 5 -15 -10 -5…

A:

Q: Find the exact length of the polar curve. r = 6 sin ?,    0 ≤ ? ≤ ?/3

A:

Q: Find the slope of the polar curve at the indicated point. A) B) T= -8 cos(0) - 6 sin(8), 0 = 3 D) 4…

A:

Q: Find the exact length of the polar curve. r=4 sin(θ), 0<θ< π/2

A:

Q: Find the exact length of the polar curve. 4 sin(0), o 0S T/3

A:

Q: Find the exact length of the polar curve. r = 3 sin(0), 0≤0 ≤ π/4

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find a polar equation for the curve represented by the Cartesian equation: x² = 8y. Or= 8 sin cos 0…

A:

Q: The equation of the polar curve above is E. r = 3 + 2 sin 0 F. r = 3 - 2 sin 0 G. r = 3+ 2 cos 0 H.…

A: From the direction of the cardioid, extending horizontally, that you…

Q: 37. The Cartesian equation of the polar curve 2 = 2a' sin 20 is A. 1? + y? = 4a²xy B. (z* + 3° )° =…

A:

Q: Find the slope of the polar curve at the indicated point. r -6+5 COs o 2.

A:

Q: Find the slope of the polar curve at the indicated point. r = 4/theta , θ = 3π

A:

Q: Find a polar equation for the curve represented by the given Cartesian equation. (Assume 0 ≤ 0 <…

A:

Q: a) Sketch the polar curve r: 4 cos (0).

A:

Q: Find the length of the curve over the given interval. Polar Equation Interval r= 2a cos e 4 4

A:

Q: Find the length of the curve over the given interval:    Polar equation: r=5 Interval: [0,pi/6]

A: Given curve

Q: Find the exact length of the polar curve. r=0², 0≤0 ≤ 6π

A:

Q: Find the length of the polar curve r = 7 sin e, 0 < 0s 2A . O A. 14 % O B. 21 1 С. 35я O D. None of…

A: Use the formula for the length of polar curve and substitute the given values.

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

A:

Q: Which of the following shows the correct sketch of the polar curve r = 9 sin(3 0)? 10 -10 5 10 -5…

A:

Q: 4. Find a polar equation for the curve represented by the Cartesian equation y = 3x. T = r cos 0, y…

A:

Q: Find the exact length of the polar curve described by: = 2e 7. T<0 < 87. 8. on the interval -77 e…

A: The given function is r=2e-θ on the interval 78π≤θ≤8π. The Length of the polar curve is given by…

Q: Find the polar coordinates of the points of intersection of the given curves for O se< 2n. r= sin 8,…

A: To finding intersection points we need to solve the given equation

Q: Find the length of the curve over the given interval. Polar Equation Interval r= 9 cos(e)

A:

Q: Find the exact length of the polar curve. r = 0², 0≤ 0 ≤ 4π X

A:

Q: b, The polar equation for the curve whose rectangular(cartesian)equation xy32 is: (a)rcosesine = 4 4…

A:

Q: Sketch the polar curve with the given equation - -3 sin 8, OA OB. oc OD. OE

A:

Q: A curve in polar coordinates is given by: r= 8+2 cos 0. %3D

A: Given r=8+2cosθ and  P is a point at (r, θ) with θ=18π16=9π8 (a)  to find the  r coordinate of point…

Q: What is the polar equation of the vertical line x = 13? Choose the correct answer below. A. r= 13…

A: Given data is : x=13 What is the polar equation of the vertical line x=13

Q: Which of the following shows the correct sketch of the polar curve r = 9 – 9 cos(0)?

A: We have to do following steps to solve it.

Q: Find the equation of the line tangent to the polar curve at the point r=2cos(theta/3), theta=pi/4

A: Given: The slope of the tangent line is calculated by using the following formula,

Q: The equation of the curve r = 6 sin 0 in polar coordinates corresponds to the following equation in…

A:

Q: Show that the polar equation for the curve with Cartesian equation x² – y² = 1 is r? = sec 20.4

A: