18. Find the area inside one petal of the polar equation r =2 cos30.

Q: Find the area inside the inner loop of the polar curve, r = 3 cos 40.

A:

Q: 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

A:

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

A:

Q: 1. Change L xy dydx to polar form.

A: Two common coordinate systems used to represent a point in the plane are cartesian coordinate system…

Q: 47. Show that every line that does not pass through the origin has a polar equation of the form sin…

A: Let's understand the relationship between polar coordinates and Cartesian coordinates. Please see…

Q: 1. Suppose that the area of a region in the polar coordinate plane is 2 sin e r drde A = csc 0…

A:

Q: What is the area of the region bounded by the graph of the polar curve r = 1+ }cos(60) + sin(30),…

A:

Q: 2. Find the length of the curve represented by the following polar equation. 15050을=4 1 r ==,0s0sI…

A: In the question we have to find the arc length.

Q: b) Find the slope of the tangent line to the given polar curve at the givén value of e: r=2 cose, e…

A:

Q: 1 By first changing to polar coordinates, evaluate 1+ x + y dA, where R is the quarter-disk region…

A: Given integral is ∫1+x2+y2dA over the region R where R is quarter disk region shaded above. Use the…

Q: Find the area of the region which is inside the polar curve r = 5 cos(0) and outside the curve r = 3…

A:

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

A:

Q: 3 4. Sketch the region described in polar coordinates by r < Cos e

A: We need to sketch the region.

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

A:

Q: 1. Which of the following is the area of the region shared by the polar curves r = sin 0 and r 1 –…

A: Given that  The polar curves  r=sin theta  r=1-sin theta  To find the area of the region

Q: Find the area of the inner loop of the limacon with polar equation r = 9 cos e – 4 01 = cos- ()…

A: The area of the inner loop of the limacon is given by: A=12∫-θ1θ1r2dθ We are given that…

Q: 3. Graph the polar equation and find the area of the region. Interior ofr= 6+3 sin 0

A:

Q: ind the area A of the inner loop of the limacon with polar equation r = 12 cos(0) – 6. limaçon Use…

A:

Q: Find the area inside one leaf of the polar graph: r = 3cos3x

A:

Q: QUESTION 4 Find the area bounded by one leaf of the following polar curve: r = 2 cos(50)

A: Given : r = 2 cos(5 θ )

Q: Find the area of the inner loop of the limacon with polar equation r = 5 cos 0 – 2 -1 = COS (금)

A:

Q: Find the exact length of the polar curve described by: r = 8e 3 on the interval a <o< 9n. 2"

A: The length of a polar curve r=fθ in the interval α≤θ≤β is given by L=∫αβfθ2+f'θ2dθ. The given curve…

Q: Find the area of the inner loop of the limacon with polar equation r = 5 cos 0 – 2 y (음) = COS

A: We have to find the area of the inner loop of the limacon with the polar equation r=5cosθ-2. with…

Q: r

A:

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: If D is the region in the third quadrant between x +y? = 1 and x2 + y? = 4, then using the polar…

A: We have to convert given double integration into polar coordinates integration.

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

A:

Q: 6. Find the area of one loop of the polar curve r = 2 sin 30

A:

Q: Find the area enclosed by r= 5 + 4sinθ in the Polar coordinate system, but only the part that is in…

A:

Q: The polar curves T = 1 cose and r==1 + cos0 are shown in the figure above. Which of the following…

A:

Q: Find the area between 0 = 0 and 0 = π/2 of the polar curve r = 1 + sin 0

A:

Q: Graph the 2 polar curves and then write an expression involving at least one integral that…

A:

Q: Find the area of the region inside one leaf of the polar graph: r = sin4x

A:

Q: Gniert y=x to polor to polar ニ 22 と= tane to Cortesian r Sinl a 色) ta Gatssian

A:

Q: 2) Use polar coordinates to evaluate ff, sin OdA with R being the region in the first quadrant…

A:

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

A:

Q: aluate the dnd to polar

A: Given that, ∫0a∫02a-x2xx2+y2dxdy Take x=rcosθ, y=rsinθ where 0≤θ≤2π.

Q: Find the area of the region which is inside the polar curve r- 5 cos(0) and outside the curve r=4- 3…

A:

Q: 44. The furthest point from the pole to the polar curve r = 2+ V2 sin 0 occurs when 0 = A. в о C 2

A: Answer

Q: Find the the area of the region enclosed by the polar equation 3 sin(20), 0<0 < T/2.

A:

Q: Find the area of the region Interior of r = 9 − sin (above the polar axis)

A: we have to find the area above the polar axis which means θ varies from 0&lt;θ&lt;π

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: Find the area that is enclosed by one loop of the following polar curve. r = sin(30)

A:

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: 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: Find the arc length of the polar curve described by r=9+9cos 8

A:

Q: 40 cos*“for 0 < 0<m

A:

Q: 8. Determine the area in one loop of following polar equations. Sketch after. (a) r = 8 sin(40) (b)…

A: The area with the polar coordinates can be calculated using the integration. The formula for the…

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!