ering Mathematics (MTCA3001) Locate and examine the nature of turning point for the curve y = -x²+4x+ 6. Select one: a. (-2, 10) аnd minimum b. (10, - 2) and maximum с. (2, 10) and maximum d. (10, - 2) and minimum

Q: Determine the slope of the curve y = x² + 2x at the point (-1, -3) on the curve.

A: We have to determine the slope of the given curve at the point .

Q: The line with a y-intercept at (0, -4) and an x-intercept at (6, 0). Equation:

A: we have to find the equation of a line with a y-intercept at (0,-4) and an x intercept at (6,0)

Q: Where is the line y=5-2x closest to the origin. Use optimization

A: Identify the point (x0, y0) on the line y=5-2x that is closet to the origin.

Q: Y= -1/2(x+6)^2 + 8 I would like to know how to find the 1: vertex 2: range 3: horizontal intercept.

A:

Q: x- - Consider the equations 2x + 4y = 8 and y = 10. Select the point where the graphs of these two…

A: Point of intersection is the point which lies on both lines, simply they are values of x and y that…

Q: Trace the curve: y = x³ + 3x² - 10x - 24

A: y=x2+3x2-10x-24

Q: m = 4 and x-intercept of -2 in point-slope form

A:

Q: What is the general Cartesian equation of the line that intersects the X axis at the point (9,0) and…

A:

Q: What is slope-intercept form

A:

Q: 4Standard form: 4.x +3y =9 Slope-intercept form:

A:

Q: Determine if the lines are parallel, perpendicular or neither. **first put in slope-intercept form,…

A:

Q: For the equation y= x^2-9/x^2+2 find the intercepts and test for symmetry.

A: First we will find the intercept of the given equation on x-axis that means we will put y=0 in the…

Q: =12 Sho

A: Straight line: The slope intercept form is y=mx+c Where m=slope. c is y-intercept.

Q: y= − x^2 + 10x − 24 Axis of symmetry : State the y-intercept as an ordered pair :

A:

Q: What is the slope and y-intercept of the line that goes through (0,0) and (6, 3)?

A: Given points are, x1, y1 = 0, 0x2, y2 = 6, 3   slope of line m = change in ychange in x

Q: Is (-2,1) a point on the graph of y < 2x - 1 ? Graph the equation of this line.

A:

Q: equation represents a function

A: we have to determine that given eqaution statisfies condition of a function a given equation is a…

Q: c. Y =x2-4 Y-Intercept (, ) X-Intercept ( ) and (, )

A:

Q: Reduce the line 2x-3y+5=0 in slope intercept,intercept,and normal forms.

A: Equation of the given line is given as       2x - 3y + 5 = 0   . . . . . . . . (1)      => 3y =…

Q: Express point P- 3,- into Cartesian coordinates with an aid of a suitable diagram.

A:

Q: Find x- and y- intercepts of: 2x+4y+8=0

A: Consider the given equation:

Q: Find the y-intercept (b) of a straight line that passes through the points (3,6); (2,4).

A: To Find the y-intercept (b) of a straight line that passes through the points (3,6); (2,4).

Q: 3. Standard form: r+ 6y= -2 %3D Slope-intercept form:

A: Given equation is  x + 6y = -2

Q: (4,2),(-4,6) slope- slope-intercept form-

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.