The length of the polar curve curve r=5 cos4 OS e S 2n is equal to 80 3 20 3 40 O 20 160 3

Q: r = 2 cos 0,

A: To find the exact length of the polar curve.

Q: 24. Which of the following polar curves is a cardioid? A. r= cos () B. r= 2+3sin® C. r = 3– 20ose…

A: 24)      A. r=cos2θ2                                                         B)r=2+3sinθ…

Q: (b) Use appropriate software to sketch the following polar curves i) r = cos(7.10) + cos² (0) ii) =…

A: A polar coordinate system contains a reference point and a reference direction. The reference point…

Q: Find the length of the polar curve: r = cos 0, where 0 < 0 < 2n.

A: We need to find the length of the polar curve

Q: nd the exact length of the polar curve. r = = e30, os0s 2n

A:

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

A: We solve it by following method.

Q: Find the exact length of the polar curve. r= e40

A: Given r=e4θ=f(θ)f'(θ)=drdθ=4e4θL=∫02πe2*4θ+(4*e4θ)2dθ   =∫e8θ+16e8θdθ

Q: 7. The polar equation of the curve r + y² = 2x is r= 2 cos 0 T= sin 20 T= 2 sin 0 D T= cOs

A:

Q: The polar equation r = a+a cos 8, where a > 0, has a tangent line at (0, 7)

A:

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

A:

Q: 18. What is the length of the polar curve below? 3πt x = 8cos (0) for 0 ≤ 0 ≤ ³1

A:

Q: Find the exact length of the polar curve. r = e20, 0<0< 27

A: Follow the next step

Q: 3. Consider the curves given by the polar equations r = 2 and r = 4 cos 0.

A: r = 2 r = 4 cosϴ

Q: 9. Sketch the polar curve. r = 2 cos 2 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 exact length of the polar curve r=e2(theta) , where 0 is less than or equal too theta is…

A:

Q: Draw the polar curve r = 2 – 4 cos 50

A: The given equation is a polar curve equation in which r represent the distance of point from origin…

Q: 3) Sketch the polar curve r = 1 + 2 cos 0. In your graph, label the points corresponding to the…

A: See the attachment

Q: Find the exact length of the polar curve. r = e20, o < 0 < 2n

A:

Q: Find the exact length of the polar curve described by: r = 5e-0 7 on the interval 2 0.000118

A: Exact length is 0.000118576639

Q: Find the exact length of the polar curve described by: 0 r = 4e 5 on the interval 6 ≤0 ≤ 6.

A:

Q: Find dy/dr and the slopes of the tang ent lines shown on the graph of the polar equation r = 2+3 sin…

A: According to question, r = 2 + 3 sin θ

Q: Find the length of the following two-dimensional curve. π 3 r(t) = (3 cos ³t, 3 sin ³t), for Osts- 4

A:

Q: For the length of the polar curve: r = 2cos(theta) ; 0 < theta < (3pi/2)

A:

Q: Tind the exact length of the polar curve re 2cos g unere

A:

Q: Given the polar curves: C₁:r = 2 cos 0 ग 2 A(2,0) C2 B(0,0) C₂:r = 2 cos 30 Find the Cartesian…

A:

Q: 7. The equivalent Cartesian equation of the polar equation r=cot ese e is a) y=x c) y=x b) xy 1 d)…

A: Using Cartesian coordinate.

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 exact length of the polar curve described by: r = 9e-0 5 on the interval -T <O<67. 6

A:

Q: Find the exact length of the polar curve

A:

Q: Find the exact length of the polar curve described by: T= 3e-8 on the Interval TSOS 9n.

A:

Q: Find the exact length of the polar curve. r = 02, 0 <0 < 7r/4

A:

Q: Find the exact length of the polar curve described by: r = 5e-0 1 on the interval T <o< 9n. 10

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: Which of the following shows the correct sketch of the polar curve r = 6 sin(3 0)? 10 а) -10 10 -10…

A: To plot the polar curve r=6sin3theta

Q: 7. The polar equation of the curve r2 + y² = 2x is A T= 2 cos 0 T= sin 20 T= 2 sin 0 B D T= cos e

A:

Q: Find the exact length of the polar curve. r- e88, ose s 2n

A: The arc length of a polar curve r = f(θ) between θ=a and θ=b is given by the integral L=∫abr2+drdθ2…

Q: Find the length L of the polar curve r = 6 sin for 0 < 0 <- 2 2 OL= 12 OL= 6 OL = 6/2 OL = 12 – 6/2

A:

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 described by: T = 10e- 1 on the interval T<OS 9T. 8. 6.448

A:

Q: 2. Consider the polar curve r = 0² + cos(0) where 0 < 0 < 5. Which of the following values of 0…

A: note : in polar coordinate r=k , where k is a constant , represents a circle of radius k centered at…

Q: 6. Find the length of the polar curve r = 1+ cos 0 on the interval 0 < 0 < n.

A: Given:

Q: What is the exact length of the polar curve 1 = 3 cos 0, 0 O<T?

A:

Q: Given r = 1 - 3 cos 0 find the following. Find the area of the inner loop of the given polar curve…

A: Given that a curve       r  =  1 -3cosθ                                   first we'll need to…

Q: A particle moves along the polar curve r =1– 2 cos 0 so that = 2. Find the value of d at e = , and…

A: We are given that,                     Now,              When          , Then

Q: The graph above shows the polar curves r = 3 + cos 0 – sin(20) and r = 1+ sin 0. What is the area…

A:

Q: Find the length of the curve r= /1+ cos 20, 0<0<n/2/6. The length of the polar curve is.

A: We know the arc length formula for polar coordinates is L=∫θ1θ2r2+drdθ2dθ. Here, r=1+cos(2θ),…

Q: The Cartesian equation of the polar curve r = 6 sin 0 is (x – 6)² + y? = 36 - (x – 3)² + y² = 9 O a?…

A:

Q: Find the length of the curve: r = /1+ cos(20),0ses 2n

A: The length of the curve is given by the formula ∫abr2+drdθ2dθ  ,       where a≤θ≤b