The radius of gyration of the area :shown about the x axis is Y 6 4 304 1.73 3.

Q: 5. Evaluate: (а) ( 5х* -х-4) dx (b) f( 2x +4)(3x + 6)dx

A: 5. (a) We will evaluate the integral ∫5x2-x-4dx

Q: Find the total surface area of the pyramid if | = 24.8 ft and s = 9 ft Round to the nearest…

A: See the details solution below

Q: Find the area of the trapezoid shown below 3 2 2 3 4 5 6 7 8 d Area =

A: First assign the coordinate of each point the use the formula for the area of trapezoid.

Q: Find the area of the 2-metre boundary around the swimming pool shown in the figure. (Assume a = 12 m…

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Q: find the area of the shaded region. m = x2+3

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Q: Find the surface area of the ball shown to the right. d=14 cm The ball has a surface area of cm?.

A: To find the surface area of the ball: Solution: We know that a ball is in spherical shape. The…

Q: Find the area of the region. y = 16 − x4

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Q: Find the area of the shaded region. y 4 3 y= V x 2 마 1, 1) X = 27 y : to 5 10 15 20 25

A: The sketch of the region bounded by the curves is  To evaluate: The area of the shaded region.

Q: Rectangle ABCD translate and then reflex's to A'B'C'D'. Do they have the same area?

A: Given: Rectangle ABCD translate and then reflex's to A'B'C'D'

Q: Find the area of the shaded portion of the circle below. Express answer as a whole number or…

A: Given  Radius of circle = 7/11  The circle is divided into 16 parts and 7 of which are shaded , we…

Q: Find the area of the white space around the triangle Your answer should be in terms of x. Do not…

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Q: quare ABCD's area is 1. The pink semicircles are tangent to the diagonal shown.

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Q: 4. What is the area of the rectangle shown below, in square feet? 12 ft 8 ft

A: The area of rectangle is given by the formula  A=length×width

Q: + b2)). The trough in the illustration has a cross-sectional area of 52 square inches. Find the…

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Q: Find the area of the shaded region. O Save y= 9 x- x 15 (7, 14) 10 5 y=2 x 2 4 8. 10 6. 20

A: To find the area of shaded region

Q: 5 2.

A: Solution and Explanation is given below....

Q: Find the surface area of the figure when l = 3, w = 6, and h = 5. rectangle

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Q: Find the area of the What You Learned Before chp. 8 り composite figures 9cm 2)4 8m cm 14cm 15m 5cm…

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.