Make two separate plots of the function E- 2sin(1.5x) in the domain -3Sx53 and -3 sys3. 3-D surface plot and 3-D mesh plot -

Q: Determine the area of the largest possible rectangle whose base is on the x-axis and the top two…

A: The given curve is y=9-x2

Q: Calculate the area of ​​the space limited by the curve y = 4x - x^2 and the axis OX

A: Given: The curve y = 4x -x2  To find: The area of the space limited by the curve y = 4x-x2  and the…

Q: Find the area of the region bounded by the parabola y = 2x², the tangent line to this parabola at…

A:

Q: Sketch the region in the xy-plane defined by the inequalities x- 4y 0, 2- x - 7lyl 20 and find its…

A: Given region are   x-4y2≥0 and 2-x-7|y|≥0

Q: What is the area of the largest rectangle that can be drawn with one side along the x-axis and the…

A: given curve is y=e-x2 find the largest area of a rectangle which has one side along the x-axis and…

Q: Find the areas of the regions enclosed by the curves x + y2 = 3 and 4x + y2 = 0

A: Given The equation of curve is  x + y2 = 3 and 4x + y2 = 0  To solve both equation for x . x = 3 -…

Q: Determine the area enclosed by the curve 2x² + 2y² - 2x + 6y - 3 = 0

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Q: Determine the area bounded by the ellipse satisfying:(101x+ 10y)2+ (20x+ 2y)2= 1.

A:

Q: :) y = xva² – x²,a > 0 and y = 0 -

A:

Q: Find the area between the curves x² and 3x – 2

A:

Q: Find the area of the regions enclosed by the two curves, y =x +3 and y = 4x+8. %3D

A: From the given problem:   y=x2+3 & y=4x+8       Now finding a point of intersection:…

Q: Find the area of the region bounded by the parabola y = 3x2, the tangent line to the parabola at (3,…

A:

Q: Find the area whose region is bounded only by the graphs y + 1 = - x^2 + 7, and y - 3 = ( x - 2 )^2…

A:

Q: Find the area of the regions enclosed by the two curves, y =x +3 and y = 4x+8.

A: Given that: y=x2+3           .............(1)y=4x+8           .................(2)

Q: :draw and determine the area enclosed between the curve y = 7-2x and + 4.

A: we can see easily from graph

Q: Find the areas of the regions enclosed by the lines and curves x - y2 = 0 and x + 2y2 = 3

A: Given Data The first equation of the region is x-y2=0. The second equation of the region is x+2y2=3.…

Q: Find the area between the curves. 3x х%3 -2, х%34, у%33е3X, у%3D2е 3X +1

A:

Q: The area of region bounded by the parabola y? = 4x and the line %3D y = 2x – 4 is -

A: We have to find the area of the region bounded by the parabola y2=4x and the line y=2x-4

Q: find the area of the loop of the curve y^2 = x^3 (1-x)^6

A:

Q: Find the area of the region bounded by the hyperbola 9x² – 4y2 = 36 and the line x = 3.

A: Given that the  Hyperbola 9x^2-4y^2=36 Line x=3  To find the area of the region

Q: Find the area between the curve y= 2x +10 and line y4x + 16 64 64/5 64/3 O 64/7

A:

Q: Find the area of the region bounded by the hyperbola 9x2 - 4y2 = 36  and the line x = 3

A: Let the graph of the area of the region bounded by the hyperbola 9x2-4y2=36  and the line x = 3 is,

Q: Find the area under the curve 2x+3y-6%3D0 from x+63D0 to x-19%3D0

A:

Q: Find the area of the region bounded by the hyperbola 25x² – 4y² = 100 and the line x = 3.

A: We have to find the area of the region bounded by the hyperbola 25x^2-4y^2=100 and x=3  Please see…

Q: Find the total area of the shaded region (area constrained by curves) y = -2r4 -2

A: The area of the shaded region is given by  ∫abf(x)-g(x)dx Where a and b are limits of x f(x) and…

Q: The area of region bounded by the parab y = 2x – 4 is

A: Introduction: Integration is a method of bringing separate parts to form a whole. We find a function…

Q: Find the area bounded by the ff. curves and lines: a. y = xe^–x , the x-axis and the maximum…

A: To find the are bounded by the curves and lines: (a) y=xe-x, the x-axis and the maximum ordinate.

Q: The area in the third quadrant bounded by the curve x = y^2 + 2y is * -1 1 -1 -3-

A: Recall:  Area bounded by the curves:           The area between the curves y=f(x)  and  y=g(x) on…

Q: Find the areas of the regions enclosed by the curves x3 - y = 0 and 3x2 - y = 4

A: The given curves are x3-y=0   and  3x2-y=4. Rewrite the above equations as  y=x3  and  y=3x2-4. Now…

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 lying between the parabola y = 4x – x² and the line y = x -

A:

Q: Make two separate plots of the function z - 2 sin (1.5x) in the domain -3sxs3 and -3Sys3. 3-D…

A:

Q: A\ Calculate the area of the segment cut from the curve y =2x2 by the line y = x+1 with x2 0.

A:

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

A:

Q: Find the area in the second quadrant bounded by the curve y = x' +4x² – x – 4 and the x – axis.

A:

Q: - x = 1 - y', x= y² – 1

A: topic - area bounded by curves

Q: Sketch the region in the xy-plane defined by the inequalities x- 5y 2 0, 2 - x - 9lyl 20 and find…

A: Graph of the curves÷

Q: Find the number b such that the line y = b divides the region bounded by the graphs of y = 9x2 and y…

A: To find the number y=b that divides the region bounded by the graphs of y=9x² and y=16 into two…

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 between the curves x2 and 6x – 5

A:

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 bounded by the parabola y = 4x2, the tangent line to this parabola at…

A:

Q: Sketch the curves y = 8 − x^2 and x^2 and calculate the area of the regionbetween them.

A:

Q: Find the area of the region in the first quadrant bounded by the circle (x - 1)² + y² = 1, and the…

A:

Q: Sketch the region enclosed by the given curves. y = 14x|, y = x2 - 5 y 15

A:

Q: Find the areas of the regions enclosed by the lines and curves y2 - 4x = 4 and 4x - y = 16

A: Consider a curve: y2-4x=4……1   and line: 4x-y=16……2

Q: Find the normal form of the line 3x + 4y – 10 = 0 and its where distance from the origin.

A:

Q: The area of the region bounded by the two curves y = x² and y = 9 is Square Units

A: Draw the both curve than find their intersection points and integrate in that interval.

Q: Use rectangles to estimate the area under the parabola y = x2  from 0 to 1

A:

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

A: Intersection Points are:  The line x=1 will intersect the x-axis at (1,0) because y is 0 at…

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.