11. The figure above shows the graphs of the polar curves r = 1.250 and r= cos (20) +1 for 0305. The two curves intersect at 0 = 0.8. What is the area of the shaded region? %3D Asked 7 minutes ago

Q: Find the slope of the line tangent to the following polar curve at the given point. 3n r=3-3 sin e;…

A: Given polar curve is r=5sinθ. To find: The slope of the line tangent to polar curve at point 6,3π2.…

Q: The area of the region inside the polar curve r 3 equals (a)6n (b)9n (c) 4m (d) 1.5n (e) None

A: To find: The area of the region inside the polar curve  r=3. Formula used: The area of the region…

Q: Find the area between the inner and outer ovals of the curve r2 = 16(2 – cos 0)

A: Given,

Q: 7. Find the area between the rays 0 = 0 and 0 = and the graph of the polar function r =e° .

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Q: Find the area between a large loop and the enclosed small loop of the curve  r = 4 + 8 cos(3θ).

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Q: (b) Compute using polar coordinates quadrant common between circle x² + y² = 2x and circle x² + y² =…

A: Given circle is, x2+y2=2x and x2+y2=1 Evaluate ∬s ca y dA such that s is the area of the region in…

Q: 1. Given the graphs below: -14 The blue graph is r = √√3 sin and the red graph is r = cos 0. Use a…

A: Given :r=3sinθr=cosθ

Q: After finding all the required values, for the polar curve r (0) : sin(0) we can find dy 2 -7 when 0…

A: FOR THE GIVEN INFORMATION

Q: Find the area in the first quadrant inside the curve r = 4 + cos 2θ but outside the curve r = 3 cos…

A: Given  The outside the curve r = 4 + cos 2θ but inside the curve r = 3 cos 2θ . Formula for area…

Q: Find the expression for the tangent slope dy/dx for points on the Polar curve r= 6 +12 cosθ

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Q: Find the area of the region enclosed by one loop of the curve. r = 7 cos4e Select the correct…

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Q: Find the area between the inner and outer ovals of the curve r2 16(2 – cos 0)

A: To find the area between the inner and outer ovals of the curve

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

A: Consider the sketch of the region bounded by the polar curves r=sinθ and r=1-sinθ as shown in the…

Q: Sketch r = 4 + 8 cos θ on the image below and find the area outside the inner loop of the curve…

A: Given: The polar function, r=4+8cosθ   To sketch: The given function curve on a polar plane. To…

Q: find dy/dx and the slopes of the tangent lines shown on the graph of the polar equation. r = 2 + 3…

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Q: Done Find the area between a large loop and the enclosed small loop of the curve r = 4 + 8 cos(30).…

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

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Q: cos(0) – sin(0) between the lines 0 = 0 and 0 = 4 Find the area under the polar curve r = 5.

A: Explanation of the answer is as follows

Q: Problem 11 (i) Find the area bounded by the polar curves r = 0 + 1, r = 0+3, 0=0, and 0 = 2 (ii)…

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Q: Find dy/dx and the slopes of the tangent lines shown on the graph of the polar equation. (If an…

A: Topic  = Derivatives

Q: Find the slope of the line tangent to the polar curve at the given points. 7-49 cos26. (0.7). (0.-)…

A: Slope of the tangent line at given point for curve r2=49cos2θ

Q: 1. Given the graphs below: The blue graph is r=√√3 sin 0 and the red graph is r = cos 0. Use a…

A:

Q: 3. Find the slope of the tangent line to the polar curve, r = 2 cos 0, at the point specified by 0 =…

A: Given:        r=2cosθ at the point specified by θ=π3.

Q: Find the area that lies outside the polar curve r = 2 – 2 cos 0 but inside the curve r – 4 = 0

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Q: dx = cos 0 – 0 · sin 0 dy = sin 0 + 0 . cos 0 For a certain polar curve = J (0)it is known that de…

A: Solution of d2ydx2 at θ = 4 is given.

Q: Find dy/dx and the slopes of the tangent lines shown on the graph of the polar equation. (If an…

A: Find the attached handwritten solution.

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: dx = - sin 20 and de dy = cos 20. de Given that r= cos 0 ; The slope of the tangent line to the…

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Q: dx = - sin 20 and de dy = cos 20. do Given that r= cos 0 ; The slope of the tangent line to the…

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Q: 1. Which of the following is the area of the region shared by the polar curves r sin 6 and r=3D1…

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Q: (b) Find the slope of the line tangent to the polar curve r = 1- 2 cos e at the point where e = -2.…

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Q: 1. Consider the polar curve given by r = 1+ cos0. a. What integral gives the area of the region…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

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

A: Concept: Area in polar coordinates: various regions enclosed by such curves can be calculated using…

Q: -7. х 3D sin?t, у— cos t yA

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Q: Find the area of the region enclosed by one loop of the polar curve r=4 cos(30). (See diagram 1…

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Q: 1. Find the area of the region that lies inside both polar curves: r=1+cos 0 and r =1- cos 0. A.…

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Q: dy dx Given that r= cos 0 ; do - sin 20 and cos 20. de = - The slope of the tangent line to the…

A: Explanation of the answer is as follows

Q: dx dy = Cos 20. do Given that r= cos 0 ; = - sin 20 and d0 The slope of the tangent line to the…

A: Slopes of tangent is dy/dx . Finding dy/dx at theta = 0.

Q: The graph of the polar curver = 2 - is shown in the figure. - cos 0 for 0 s 0 s 2n. (a) Write an…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 2. We have given the following closed polar curves in the plane: C1 :r = 2 cos 0, C2:r=2 sin 20. (a)…

A: The given curves are: C1:  r=2 cosθ ,           C2:  r=2 sin2θ

Q: QUESTION 13 dx Given that r cos 0; dy = cos 20. de - sin 20 and de The slope of the tangent line to…

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Q: 10. Sketch the polar region inside the graph of r=10 and outside the graph of r=5 from 0 = to 0 = 6.

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Q: dx = - sin 20 and de dy = cos 20. de Given that r= cos 0 ; The slope of the tangent line to the…

A: Use the formula for the slope of a polar curve.

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

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Q: 3. Let r = 1+ sin(0). Determine the rectangular point(s) (x, y) where the polar curve has a…

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Q: 15) Find the slope of the tangent line to the given polar curve at the point specified by the value…

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Q: Find dy/dx and the slopes of the tangent lines shown on the graph of the polar equation. (If an…

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Q: Which of the following gives the area of the region enclosed by one loop of the graph of the polar…

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Addition Rule of Probability

It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.

Expected Value

When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).

Probability Distributions

Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.

Basic Probability

The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.