D Find the area of region bounded by the Curve y= Xe and X-axis From X=otox=4 %3D

Q: 21) Find the area of the region in the first quadrant bounded by the line y = 8x, the line x = 1,…

A: We first sketch the region using a graphing calculator.

Q: y = ln x and x - y -4 = 0

A: Explanation of the answer is as follows

Q: Find the area between the curves y = e Area - 0.7x and y = 1.3x + 1 from x=0 to x=2

A: The area between the curves y=e-0.7x and y=1.3x+1 on interval 0, 2.

Q: 4.) Find the area of the region bounded by the curves y =x- 6x? + 8x and y =x - 2x

A:

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: Find the area bounded by the curve y = x³ − 3x and y + 4 = 0

A:

Q: Find the area bounded by the curve y = 62xe-62x and the x axis from x =0 to x = 4

A: Area bounded by the curve y=f(x) and x-axis from x=a to b is given as, ∫abf(x)dx Some common…

Q: Find the area A between the curves y=1+x² y=3+x

A:

Q: Find the area bounded by the curve y2 = 4x and the line 2x + y = 4.

A: so we have and the other function is

Q: 4. Find the area bounded by the curves y = 2x – x2 and the x-axis

A:

Q: Find the area of the region above the curve y = x^2 - 6, below y = x, and above y = − x.

A: Given region bounded above by  y=x2-6  and y=-x  and bounded below by y=x

Q: 28 Find the area of the region bounded by the curve y = (x-1)' and the x-axis from x=0 to x= 2.

A:

Q: 26. Find the area of the region bounded by the curve y = 4x – x?, the lines x = 1 and x = 3 and the…

A:

Q: What is the area of the region bounded by the graph of the y= 2/x function x = e, x-e^2 lines and…

A:

Q: 1. Find the area of the region between the curves y=x -4 and y=2-x.

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: Compute the area of the region which lies to the right of the parabola x = y^2 – 12 and to the left…

A:

Q: Find the area of the region bounded by y = xInx and the x-axis between x=1 and x = e

A: Using formula of Area Under The Curve.

Q: 2. Find the Area bounded by the curve y=4-x2 and the x-axis.

A: 2. The area bounded by the curve y=4-x2 and the x-axis Note:    Multiple questions are given, we are…

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: 2. Find the area of the region enclosed by the curve =x- 4 and y = x - 2.

A:

Q: Find the area of the region bounded by the given curves. y = 9x2 ln(x),  y = 36 ln(x)

A: First of all, consider the given equations and assume them as f (x) and g (x). Equate f (x) = g (x)…

Q: 3/ find the area for the region in the first quadrant bounded by the curve (y = 4x - x²) and line (y…

A:

Q: find the area of the region bounded by the curve y^2=x+1 , both by the x and y axes and the line x=8

A: Using Reimann sums, the area of the region R is given by Sn=∑k=1n∆Ak. This is simply the sum of…

Q: 22) Find the area of the region between the curve y = 2x/(1 + x2) and the interval -2 sxs2 of the…

A:

Q: 4.Find the area of the region bounded by the curves y = x² – 2x and y = x.

A:

Q: 2. Find the Area bounded by the curve y = 4-x? and the x-axis.

A: Topic = Area

Q: Find the area between the curves y = e 1. = y = 2.3x + 1 from x = 0 to x = Area -0.4x and

A:

Q: Find the area between the curves y 0.7x and y = 2.4x +1 from x = 0 to x = 4. = e Area =

A:

Q: 10. Find the area bounded by the curve x = y² + 2y and the line x = 3.

A: Area Bounded by the Curves : If f(y) and g(y) are two continuous function on a,b and f(y)≥g(y), then…

Q: 2. Determine the area of the region bounded by the curve y = x³ — x² – 2x, and a. the x-axis

A: Given curve y=x3-x2-2x. The objective is to determine the area of the region bounded by the curve…

Q: Find the area enclosed between the x-axis and the curve y = (x+ 3)²,0 < x < 1.

A:

Q: find the area bounded by the curve y=9-x^2 and the x-axis

A:

Q: find the area of the region bounded by the curves y=12x/(x^2+4) the x-axis x=1 and x=4

A: The region corresponding to the equations is given below, Consider an elemental vertical strip of…

Q: Find the area between the curves y = e – 0.4x and y = 2.1x + 1 from x = 0 to x = 4. Area =

A:

Q: 7. Find the area bounded by the curve y = x exp(-x²), the x-axis and the vertical line p through the…

A:

Q: Find the area bounded by the curve y = Vxe-VX and the x-axis from x = 0 to x = 4. %3D

A:

Q: Find the area between x-axis and the curve defined by   y = 2·x2 − 6·x on the interval [0,4].

A: Given curve: y=2x2-6x We need to find the area between x-axis and the curve on the interval 0,4

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

A:

Q: What is the slope of the curve y = ex at x = ln 2? What is the area of the region bounded bythe…

A: Consider the curves, y=ex,x=ln2 Differentiating with respect to “x” then, dydx=ddxex=exTo  calculate…

Q: Find the area the region lying between the x axis and the curve y=(ln(8x)-1)/x2 to the right of the…

A: Given curve is y=ln(8x)-1x2 Since region lying between x-axis and the curve to the right of the line…

Q: Determine the area bounded by the curves y = -r - 18z + 40 and y = (x- 2)2.

A:

Q: 3. Find the area bounded by the curve y 4sin(2x), the x-axis, and the lines x = 0 and x =

A: We have to find the area bounded by the given curves. We will find the area by the help of…

Q: Find the area bounded by the curve y^2 + x - 4y = 5 and the y-axis. Input only the numerical value…

A:

Q: Find the area of the region above the curve y = x2-6, below y= x, and above y=−x.

A:

Q: 1. Find the area of the region bounded by the graphs of the equation y = x and y ?.

A:

Q: 3. Find the area of the region bounded by the curve y = Vx – 1, the y - axis and the lines y=1 and…

A: Simplify the equation y=x-1 to obtain the expression of x. y=x-1y2=x-1x=y2+1 Draw the graphs…

Q: Find the area bounded by the curves y=ex+2, y-axis, y=1, and the line x=3

A: Find the area bounded by the curves y=ex+2 and y-axis, i.e., x=0, y=1, and the line x=3. Limit for x…

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: Sketch the region in the first quadrant bounded by the curve x+y2=4, and find its area first by…

A: To graph the function, solve the given equation for y. Since the region is in the first quadrant,…

Q: 2 x = 8 – y, x=y¯ - 8 ?, x =y² - 8

A:

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.