1. Find the area of the region bounded from the right by the curve x = 4 – y? , from the left by the line y + x = -2 and below by the x-axis.

Q: (13) Find the area of the region between the line y = 2x and the curve y =x² +x-2 %3D

A: The given two curves are y = 2x y = x2 + x - 2

Q: Find the area bounded by the following: 1. Curve y²-8y-8x +32= 0 and y²-8y + 4x = 0

A: We will use basic knowledge of integral calculus and the theory of evaluation of integrals.

Q: 1. Find the area of the region bounded from the right by the curve x = 4 – y? , from the left by the…

A:

Q: 1. Find the area of the region enclosed by the parabola y = 2 – x² and the line y = -x.

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Q: 12. Find the area of the region enclosed between the curves defined by the equations y = √(x + 2), y…

A: We have to evaluate the area of the region bounded by the curve y=x+2 and the line y=x using the…

Q: Find the area between the curve y = 6x – 2x and the x-axis between x 1, and x = 3. ||

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Q: Find the area between the curve and the x-axis for the function y = x2 +3x between x= -1 and x = 2…

A: To

Q: Determine the area of the region between the following curve. x = |y| and 2x = −y^2 + 2

A: Given that, x = |y| and 2x = −y2 + 2

Q: 1/ Find the area of the region enclosed between the curves y= 2x²+10 and y=4x+16 and ,x=-2 and x-5?…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the area under the curve from x = 0 to x = 1 of y = (x 4 + x)5 (4x 3 + 1).

A:

Q: 1- Find the area of the region enclosed by the line y=4x and the curve y=x'+ 3x'.

A: According to our guidelines we can answer only first question and rest can be reposted.

Q: . Find a number k > 0 such that the area of the region bounded by the curves y = x², and y =k – x2…

A: As per as our guide line I am supposed to answer only one question from these 2 question Please…

Q: Find the area of the region bounded by the parabola y = 2x, the tangent line to this parabola at (4,…

A: Definition used -              Equation of a tangent line -                  (y-y1)=f'(x1)(x-x1)…

Q: 1/ Find the area of the region enclosed between the curves y= 2x+10 and y=4x+16 and ,x=-2 and x-5?…

A:

Q: B- Find the area between the curve (y-√x - 2) and the lines (y-4-x),(y=0).

A: We have given three curves-y=x-2y=4-xy=0 First we will find intersection of first two curves…

Q: Find the area of the infinite region in the first quadrant between the curve y = eX and the x-axis.

A: Given curve, y=e-xand x-axis Formula for the area of the region under a curve is given by A=∫aby dx

Q: 1. Find the area between the curves x2-y2 = 9 and the line y = 2x-6

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Q: 1. Find the area of the region enclosed by the line x = 2y and the curve x = y - y?

A: We will find out the required area.

Q: Find the area of the region bounded by the curve y2-4r and the lines x = 1 and x = 4.

A:

Q: 4 Find the area of the region bounded by x = 2y²+1 and the y-axis using the horizontal strip.

A:

Q: 1. Find the total area bounded by the curves y=x²-3x and y = x³ + x² −12x.

A: Given Graphs y=x2-3xy=x3+x2-12x First we find point of intersection of graphs…

Q: Find the area between the curve y = x² + 12x + 27 and the x-axis from x = -3 to x = -1.

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Q: 1. Find the area under the parabola y = 8 – x 2 – 2x, above the x-axis.

A: Given parabola y=8-x^2-2x Area = double integral (dx dy). First we will draw the graph based on…

Q: In(6z) – 1 Find the area of the region lying between the x-axis and the curve y = to the right of…

A: The area of the region lying between the x-axis and the curve yx=ln6x-1x2 to the right of the line…

Q: 1/ Find the area of the region enclosed between the curves y= 2x2+10 and y=4x+16 and ,x=-2 and x=5?…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: 1. Find the area of the region bounded by the curves y = x2 – 3x + 5 and y = 3x + 5.

A: Answer and explanation is given below.. For solution of other questions please repost

Q: Find the area between the curves: y2=x x2– 2x + 3y = 2

A: we have to find the area between the curves :

Q: Find the area between the curve y = x2 + 10x + 16 and the x-axis from x = −2 to x = 1.

A: We have limits of curve from x=-2 to x=1

Q: In(5z) – 1 to Find the area of the region lying between the r-axis and the curve y the right of the…

A: Using integration by parts,

Q: 1)Find the area bounded by the given curves. a)y = 3x2 − 12 and y = 0 b)y = x2 − 2 and y = 10 −…

A: we have been given the function y=3x2-12 and y=0 and the formula of the area under the curve is…

Q: 7. Find the area of the region under the curve y= |2x – 1| between x= O and x= 2.

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Q: 4. Find the area of the region bounded by the curves x-y² = 0 and x+2y² = 6.

A: Hence, the area of the region bounded by the curves x-y2=0 and x+2y2=6 is 82 square units .

Q: - Determine the area bounded by the curves y = -1² – 16x + 80 and y = (x – 4)°.

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Q: 1- Find the area of the region enclosed by the line y=4x and the curve y= x³ + 3x².

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the area of the region lying between the æ- In(9x) – 1 axis and the curve y = to the right x2…

A: Solving by area formula

Q: Find the area of the region lying between the x-axis and the curve y = In(7x) – 1 to the right of…

A: Consider the function y=ln7x-1x2. Find region between the curve to the right of line x=e and  x-axis…

Q: 1)Find the area bounded by the given curves: a)y = 6x2 and y = 24   b)y = 3x2 − 12 and y = 0

A: The given function are y=6x2 and y=24. The area bounded by the given curves as shown below:

Q: Find the area b0 und by Curves the y3= X-3

A: The region is bounded by y=9x2-36, y=0, x=1 and x=3

Q: Find the area of the region between the curve y = 1/1 + x^2 , 0 ≤x ≤√3, and the x-axis.

A:

Q: 1- Find the area of the region enclosed by the line y=4x and the curve y=x³ + 3x.

A: To. Find thhe area of enclosed region

Q: Find the area of the region between the curves x=((y-2)^2)/3 and y=8-x shown in the following…

A: Explained below

Q: 1.) Find the area of the region bounded by the parabola y = 2x and the line y = x - 4

A:

Q: Find the area of the region between the curves y=x2-1 and y= - 2x² +2 from x= - 1 to x=1.

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Q: Find the area between the curves y -0.2x e and y = 2.4x +1 from x=0 to x=2

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Q: Find the area of the region under the given curve from 1 to 2. 13 y = x + 4x

A: As we can calculate the area under the given by integrating the given function for the given…

Q: 3 2. Find the area bounded by the two curves y = x³- 6x² + 8x and y = x² - 4x.

A:

Q: 7- The area of the (bounded) region between the line y = x quadrant is and the curve y = x² in the…

A: 7) The area of the region between the line y=x and y=x2 in the first quadrant. First we draw the…

Q: 18. Find the area of the region enclosed by the curve y = (1- x)²; 0<x< 1. (in QI)

A:

Q: 1/ Find the area of the region enclosed between the curves y= 2x+10 and y=4x+16 and,x=-2 and x-5?…

A: We use integral to find area bounded by curve and lines

Q: Find the area of the region bounded by the curve y = x³ – 2x² – x + 2 and the x-axis for -1 <x<2, as…

A: We will solve this question by using double integration. where,  y=0 and y=x3-2x2-x+2 and x lies…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.