Q4: An equation for the circle with the given center C(-3, 0) and radius a = 3 is x^2 + 6x + y^2 = 0 * O True False Q5: The domain of the equation y %D 1/(1-x)^O.5 is all the real numbers except of 1- x <= 1 * O True O False

Q: Find the distance between (10,-11) and (12,3

A:

Q: Find the distance between the pair of points (2, -3) and (-1, 5) . If necessary, express answers in…

A: Given:To determine the distance between(2,-3) and (-1,5).

Q: Express 4x^2 + y^2 + 9z^2 + 8x − 4y − 18z − 19 = 0 to its standard form. Also, sketch and name the…

A: Given equation is: 4x2+y2+9z2+8x-4y-18z-19=0 Rearranging the terms we get,…

Q: Determine whether the graph of Y=3x^6-2x^4 is symmetrical with respect to the x, y axis and origin.…

A: To check the symmetry of given graph function

Q: What is the x intercept or 0's of -x^2+4x+3?

A: Given equation : - x2 + 4x + 3 Zeroes of given equation. - x2 + 4x + 3 = 0 Multiply by (-1)  x2  -…

Q: Write the standard equation for the circle of radius 2v3 and centered at point (-2, 4)

A:

Q: The circle x^2+y^2-6x-10y+k=0 does not touch or intersect the coordinate axes,and the point (1,4) is…

A: The equation of the circle is                  x2+y2-6x-10y+k=0    ...(1)whose center is C(3,5) and…

Q: identify any symmetry here. y=x^(2)+3

A: Let y = f(x) = x^(2)+3, then  f(-x) = (-x)^(2)+3.     { Replace x  with (-x)}         = x^(2)+3…

Q: D. A 8TY 13. D -8 8. -3 8- 3.

A:

Q: Find the zeros of the equation 3x+ 9x 0. O A. X 0 and x 3 B. X 0 and x= -3 C. x-3 and x = -3 O D. x=…

A: Given equation is 3x2+9x=0 We have to find the zeroes of the equation 3x2+9x=0 Take 3x as common…

Q: 3- A B

A: Circle with center=(-1,0)                    Redius=4

Q: What is the distance between the points ( 7 , − 1 ) and ( − 5 , 4 )

A:

Q: what is the latus rectum of the equation 9x^2 - y^2 - 2y - 10 = 0 a. 18 b. 162 c. 2/3 d. 2/9

A:

Q: identify and sketch the graph y = √(4 - x^2) in R^3

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.