Quadrilateral ABCD has vertices at A(0,6), B(4,-1), C(-4,0) and D(-8, 7). Prove that: (a) ABCD is a rhombus using the distance formula (b) The diagonals of ABCD are perpendicular

Q: Which of the graphs below represent the rational function: y = 3x²+3x-36 x²-9

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A: We have to find classwidth.

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Q: This is grade 12 calculus the planes and lines unit, please write it on paper neatly. Double check…

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A: An aggressive investment increases by 26% per year, compounded weekly (there are 52 weeks in a…

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A: Given :  λ = 3.2 per week  Now we know :  P(X=x) = e-λ * λx / x!  x! = x*(x-1)*(x-2)*(x-3)....1 Now…

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A: Find the inverse of fx=x+49-3x

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A: Solution: Given information: Test statistic χ2=23.75 P value = 0.0006

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A: Given  V = 2πrx + 4πr2 We have to solve for x.

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A: Given,           gx=x2-5To find : Find the domain and range of the given function.

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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.