3. Point Z is a centroid of the triangle VWY. If VZ = 42 cm, what is VX? %3D Y X W V

Q: If IAIo the equilibrium paintx=0 for the system x-Ax isa stable focus

A:

Q: The arc of the parabola y =  x sq.  from ( 1,1, )  to ( 2, 4 )  is rotated aboutthe  y -axis. Find…

A: Given:The arc of the parabola y=x2 is rotated about the y-axis from 1,1 to 2,4. We have to find the…

Q: 2. Determine the center and the radius of each circle. a) (x+1)2 + (y – 1)2 = 16 b) (x - 2)2 + y² =…

A: We have to determine the centre and the radius of each given circle

Q: Identify the given radius if the center lies at the origin. a. x2 + y2 = 144 b. x2 + y? = 2, 304 c.…

A:

Q: // a?dA where R {(x, y) | 16z² + 36y² < 576} Find

A: first we find limits of integration, than

Q: The centroid of the T-section shown is 2.5 inches above the base. What should be the value of b to…

A: Given information is as follows:The area of the shape is,The centroids are as

Q: Convert to standard from and give the center and radius: x^2+ Y^2 - 2x +6y - 1=0

A: x-h2 +y-k2 =r2 (h , k) is centre and r is radius .

Q: Find the centroid of the area shown in figure 1.

A: The figure is  There are four rectangles 1, 2, 3, 4.

Q: If IAIo the equilibrium paintx=0 for the system x-Ax isa stable focus

A:

Q: Let R be the rectangular region with (1,2) , (2,3) , (3,2) and (2,1) as corners. Use change of…

A: Changing the variables

Q: Q.1 Determine the centroid - 240 mm- r= 90 mm 120 mm

A:

Q: Find the points on the cone 22 = x2 + y? that are closest to the point (1,3,0)

A:

Q: If IAIo the equilibrium paintx=0 for the system x-Ax isa stable focus

A:

Q: 1. a) Find the length of the curve: y=+[1,2]. b) Find the area of the surface obtained by rotating…

A:

Q: 3. Find the dimension of the largest rectangle (in terms of area) that can be inscribed in a circle…

A:

Q: 1) Let c. 12i| =3 and I = e dz. then %3D I= 1o TTi? %3D

A:

Q: cross-section is given by the following geometric data: a = 75 mm, b= 40 mm, c = 70 mm %3D ind the…

A:

Q: 8.G is the centroid of an equilateral triangle ABC with base BC of side 60 cm If GBC is cut from the…

A:

Q: Aa, Bb, and Cc are medians of triangle ABC with centroid at G , if aG = x, what is AG?  a. x b. 2x…

A:

Q: In isosceles trapezoidABCD, AD = BC and m<D = 60, what is the m<A? 3. %3D

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.