Find the area of the shaded region shown below. YA y = -x? + 4x y = x2 - 2x

Q: Find the area of the shaded region. NOTE: Enter the exact answer. x = y 1 x = y2

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Q: Find the area of the region lying to the right of x = y? -4 and to the left of x = 2-y².

A: Use given curves x=y²-4  => y²=x+4 is a parabola  with axis of symmetry is (-4,0) And x=2-y²…

Q: Find the total area of the shaded region. y = 4 2- y=4 cos2x 1/2 31/2 2.

A: Area between two curves can be found by integration as shown in next step

Q: Find the area of the shaded region. 2 -1 square units y=x+ - 2x³ y=0

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Q: Find the area of the shaded region. x = 2- y2 -2 2 11 A 10 - 3. 8. D. 3. 2.

A: The area of the Shaded Region: the shaded zone's area is computed by subtracting the area of a…

Q: Find the area of the shaded region. y 2 x = y - 6 y=1 x= -4 -2 2 4 H y = -1 -3 2. 3.

A: Given two curves x=y2-6 and x=ey To find the area of shaded region bounded between y=-1 and y=1

Q: Find the area of the shaded region 1 y = x2

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Q: Find the area of the shaded region. NOTE: Enter the exact answer. y = x2 +2 A 2 y = x

A: Given curve is y=x2+2 and y=x

Q: Find the area of the shaded region. Ay y =x - 2x3 y = 0 -1 2 -1- square units 2.

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Q: Find the area of the shaded region below. x= y? – 2 y = 1 x= e y =-1 Area =

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Q: d) Evaluate the area of the shaded region. y y =x'+1 -1 1

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Q: b) Find the area of the shaded region. 1) ii) y= T x=-y 2Fx= 2- y²

A: we have to find the area of the shaded region.

Q: y y=5x 1 y=66-x

A: Area of shaded region is 115.33

Q: 23. (x – 1) dA; R is the region in the first quadrant enclosed R

A: Given: ∬R(x−1)dA=?

Q: What is the area of the shaded region? y = y = -2x*

A: We will take difference of both curves to find the area using integration.

Q: Find the area of the shaded region. y = x² +1 %3D 5 y = x -1 A 23 2. 2/2

A: Given

Q: Find the area of the shaded region below. x= y? – 4y (-3, 3) x= 2y – y?

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Q: Find the area of the shaded region. y (1, Зе) 8 6- y = 3 e* 4 2

A: We have given curves y = 3xex^2 and y=3ex And we have to find the area of shaded region

Q: Find the area of the shaded region. NOTE: Enter the exact answer. x = Y 20 1000 x = y2 20

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Q: Find the area of the shaded region. y 2 x = y? – 9 y = 1 x = eY -10 -8 -6 -4 -2 2 4 y = -1 -2

A: Given

Q: Find the area of the shaded region. NOTE: Enter the exact answer. y = x2 + 2 A =| y = x 2

A: We want to find the shaded area.

Q: 9. y. x = 2y x = y? – 3

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Q: Find the area of the shaded region. y =x²+1 y -x 2

A: Since your question has multiple questions we have solved the first question for you.     Consider…

Q: ind the area of the shaded region. y 2 x = y - 6 y = 1 x= e -4 -2 2 4 H y = -1 -2 -31

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Q: Find the area of the shaded region.

A: Consider the provided region, Find the area of the region.

Q: 25. yA y = y = V1 – x

A: We have to find the area of the shaded region of the image.

Q: Find the area of the shaded region: 1. yA x= 2 2, 4) y= x? y= 0

A: We will find the area of shaded region as following.

Q: ind the area of the shaded region. y= 2x? + x - 6 y=x2.4 3+ 2 19

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Q: Find the area of the shaded region below. y = 3x - 3 y=-x + 3x +6 WCOLLEGE KL

A: We have to find the area under the curves.

Q: d. Find the area of the region. 1. y = 2x? - 2 and y = x2 + x

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Q: Find the area of the shaded region. y 3| 2 x= y - 3 y = 1 X=

A: To find- Area of shaded region.

Q: y y = x² + 1 5. y = x 2.

A:

Q: Find the area of the shaded region. NOTE: Enter the exact answer. A x = y 20아 1000 y? 20

A: Explanation of the answer is as follows

Q: Find the area of the shaded region. Show your complete solution. r = 0

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Q: Find the area of the shaded region. NOTE: Enter the exact answer. y = x² + 1 A y = x 4

A: Please refer the attached image for complete solution. THANK YOU.

Q: y = x(x2 – 4)

A: We have to find the area of the shaded region.

Q: a) Find the area of the shaded region. 1) ii) y= T 2x=2-

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Q: Find the area of the shaded region. y 3- x= y - 6 y = 1 (x = e' -2 2 4 H y = -1 2. 2. 3.

A: Consider the graph

Q: Find the area of the shaded region. y y = x2 + 1 ... y = x -1 2

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Q: Find the area of the shaded region. NOTE: Enter the exact answer. y = x2 + 2 %3D y = x 4.

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Q: Find the area of the shaded region. y = x – 2 2+ y=V 1 2 3 4 | square units

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Q: Find the area of the shaded region. y = x² + 1 ... 5 y = x -1 2.

A: In given problem we find the area by using the Definite Integration .

Q: Find the area of the shaded region. NOTE: Enter the exact answer. y = x² + 4 A = y = x

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Q: Find the area of the shaded region in the figure below: x = (y- 1) *= 3-y T= 2Vy 2.

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Q: problem in photo attached

A: Given that the curve is bounded by the curve x = y2 – 2 to x = ey and y = – 1 to y = 1.

Q: Find the area A of the shaded region where b = 4. y = |x| -b

A: Calculate the area of the shaded region where b=4.

Q: Find the area of the region between y = 4x² and y = a? + 2.

A: Explained below

Q: What is the area of the shaded region in the graph below? x = 2y – y? 1 2.

A: Given curve is x=2y-y2  and interval [0,2]

Q: Find the area of the shaded region below. y A y= 5x – x² (4, 4) y = x Area = %3D

A: The figure is given by To evaluate : The area of shaded region.

Q: Find the area of the shaded region. x = -y x = 2 – y? -2 A B 10 2. 2. 3.

A:

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.