Find the area obtain when the curve f(x) = x² - In x, for 1

Q: Find the area bounded by y = x3, y = 0, and x - 2 = 0 at the x axis and y axis.

A: The given curves are,

Q: Find the Area bounded by the curves y² = x and x = 2y – y². %3D

A:

Q: 29) Find the area bounded by the curves y= In x, y = 2 In x and line x-e in the first quadrant.

A: I have given the answer in the next step. Hope you understand that

Q: 2. Find the area bounded by the curves y = x² and y = 2 – x².

A:

Q: Find the area of the region that lies under the curve, y = sin x on the interval 0< x <;

A:

Q: Find the area bounded by the curves y=sinx and y=cosx and x=0, and x=pi/2

A:

Q: Find the area bounded by the curve x = sin 2y - cos 2y , the lines y = and y = T ano the y-axis.

A:

Q: Find the area under the curve y=f(x)=x^3 from x=1 to x=3 using inscribed and circumscribed…

A:

Q: Find the area bounded by the given curves. y = 2x – x², y = 2x - 4 %3D I|

A:

Q: Find the area under the curve f(x) = sin x bounded by x ∈ [0, 3]

A: One of the two main parts of calculus which are concerned with the study of integrals, as opposed to…

Q: Calculate the area A under the parabola y = x² + 2x and above the x-axis, between x = 0 and x = 1.…

A:

Q: 2. Find the area between the curve y=-x and y+x²= 2x.

A: The given curves are y=-x and y=2x-x2.

Q: 3. Find the area bounded by the curves x2 + y = 0 and 2x + y + 3 = 0.

A:

Q: Find the area bounded by the curves y= x', x = 2, and y = 0 using double integration.

A:

Q: Find the area between the curves. x = -1, x = 2, y = e-x, y = ex

A: Solution: Consider the given curves we have: x = -1, x = 2 andy = e-x, y = ex We have  Area =…

Q: Find the area between the curves y = x2 and y =-(x 1)2 +1 interval [0, 2]. on the %3D

A: Given, y=x2 y=-(x-1)2+1

Q: Find the Area bounded by the given curves. y = 2x + 1 ,  y = 7 - x ,  x = 8

A:

Q: Find the area between the curve  y = x2 + 3x + 2  and the x-axis from  x = −1 to x = 1.

A: We have to find the area between the curve y=x2+3x+2 and the x-axis from x=-1 to x=1.

Q: The area bounded by the curve z = y.y-axis and the lines Y3D0. y32 is s

A:

Q: Find the area bounded by the curves y = x³, y = 1, and x = 0 using double integration.

A: Area of the required region is 3/4 see below the calculation

Q: Find the moment with respect to the y-axis of the area bounded by the parabola x = 4y - y² and y =…

A: Let's find moment with respect to you axis.

Q: Find the area of the region bounded by the curves: y = cos(nx) and y = -1 + 4x2

A: The region between these two curves is shaded below

Q: Sketch the region enclosed by the curves y = (x-2)2 and y=x then find its area using the…

A:

Q: 2. Find the area bounded by the curves y = x² and y = 2– x².

A: To find the area bounded by curves

Q: Find the area bounded by the curves y = 3e2x and y = 3e-x and the ordinates at x = 1 and x = = 2.

A: The region is

Q: Find the area bounded by the curve y = e^x , y = e^-x and x = 1, by integration.

A:

Q: Find the area bounded by the curve x = cos(t), y = e', 0sts and the lines y = 1 and x = 0. 2

A: The solution are next step

Q: 1. FIND THE AREA BOUNDED BY THE CURVES X= 2Jy and y %3D

A:

Q: Find the area under the curve f(x)=6 , bounded by the x-axis,x=1 and x=3

A:

Q: Find the area between the curves f (x) = Vx + 2 _and g(x) = ,x=0, x=2 %3D

A:

Q: Find the area of the region bounded by the curves: y = cos(nx) and y = -1+ 4x²

A:

Q: b) Find the area bounded by the curve: y = 8x – x² and y = 3x %3D %3D

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Find the area under the curve y = xe for x > 1. area %3D

A: Given curve is y=xe-x for x≥1 Apply the area formula  ∫01xe-x dx      ⇒∫01xe-x dx⇒(-x-1)e-x01⇒1-2e-1…

Q: x = y² - 2y and x = 4y - y²

A: The given curves are; x=y2-2y and x=4y-y2 Now find the point of intersection between the given…

Q: Find the area between the curve y = tan x and the x-axis from x = -π/4 to x = π/3

A: y=tanx from x=-π4 to x=π3. The graph is,

Q: 2. Find the area bounded by the curve y = x³ – 3x and y = x. Answer: sq. u.

A:

Q: Find the area bounded by the curves y = x3 , y = 1, and x = 0 using double integration.

A:

Q: Find the moment with respect to the y-axis of the area bounded by the parabola x = 9y - y² and y =…

A:

Q: Find the area between the curve y = 2x² + 4x-6 and the x-axis from x = -2 to x= 3. %3D %3D %3D

A:

Q: Q1: Find the area bounded by: The curve y=4x-x and the lines y=0, x=1 and x=3.

A:

Q: Find the area of the region bounded by the curves y = x andy = sin x from x = 0 to x = π.

A: We have to find the area of the region bounded by the curves y = x and y = sin x from x = 0 to x =…

Q: Sketch and find the total area under the curve y = 1 – x° within the interval [-1,1].

A: Given: y=1-x3   with in the interval [-1,1]

Q: find the area between the curves: f(x) = x2  + 1,   g(x) = 3 - x   on the interval [0,3]

A:

Q: . Find the area between the curve f(x) = √x and g(x) = x³.

A:

Q: Find the area under the curve f(x) = x° on x =[- 2.5, 5.5] using the Midpoint Rule with n = 8

A:

Q: Find the approximation of the area under the curve using 4 trapezoids. Use the function y = x2 - 4x…

A:

Q: Find the area R- region in the first quadrant that lies below the curve y=x^2+4 and is bounded by…

A: The given problem is to find the area of region R bounded below by the given curve and the line.…

Q: Find the area of the region bounded by the curves: y = cos(nx) and y = -1+4x2

A:

Q: Approximate the area under the curve y = f(x) between x = 0 and x = 10 with n = 5 subintervals…

A: Approximate the area under the curve y = f(x) between x = 0 and x = 10 with n = 5 subintervals…

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.