Locate and examine the nature of turning point of the curve y 2x2 +2x +3.

Q: What can you say about the inflection points of a quadratic curve y = ax2 + bx + c, a ≠ 0? Give…

A: To find point of inflection we have to find the second derivative.

Q: Use the 3 point method or otherwise to sketch the graph of y=2x

A: We can sketch the  graph of y=2x By inserting the values x=0,1,2 Then we get values of y  for…

Q: A roller coaster track follows the curve y =(x3 + 20x2 - 1500x) / 720, as shown in the diagram…

A: To find maxima and minima point: Take the first derivative Equate it to 0 and find the values of x.…

Q: Trace the curve: y^2 = (x-1) (2x+3) (3x-1)

A: First finding the zeros of  y2 =  (x-1) (2x+3) (3x-1) x-1 = 0 x = 1 2x + 3 = 0 x = -3/2 3x -1 = 0 x…

Q: What is the midpoint of the line segment with the equation y=1/2x+3 between x=-4 and x=8?

A:

Q: Find the length of the curve. 1 10x3' y 6 + 1 ≤ x ≤4

A:

Q: Draw accurate graphs of y = 2x + 5, y = 2x 2 + 5

A:

Q: (a) Find the points of inflexion of the curve y(a² +x²) = x³

A:

Q: Find the point on the graph of y2 - xz2 = 4 nearest the origin.

A:

Q: Match the equation with its graph. x² + 2z2 = 1

A: Graph of  x^2 +2z^2 =1 is

Q: FIND THE PROPERTIES OF THE CURVE AND SKETCH FULLY x²-4x-12 6. Y = x²-2x-3

A: We have to sketch the curve Y2=x2-4x-12x2-2x-3 or Y=x2-4x-12x2-2x-3.

Q: Locate and examine the nature of turning point of the curve y = 2x2 + 2x+ 3.

A: If f(x) is a function, then the turning points are the values for which f'(x)=0. ddxf(x)=0 Nature of…

Q: Sketch the graph of the curve y=x(x² +2x)², labelling the stationary points and intercepts.

A: Recall: 1) Stationary Point : dydx=0 2) Intercepts :The x-intercept is the point at which the graph…

Q: How do we know that the graph of y = -3x is a straight line that contains the origin?

A: y = -3x

Q: .Find the coordinate of the turning point of the curve y = -x³ + 12x

A: NOTE: Refresh your page if you can't see any equations. . here we want to find the turning points…

Q: Find the relative maximum and relative minimum points of the graph y = 3x3 + 2x2 – 11x

A: We use second derivative test to find relative maximum and minimum points

Q: a. What is the maximum or minimum point for the curve y = x² - 4 b. What is the maximum or minimum…

A: Given  y = x2-4    .............. (1)  To check local minima or local maxima, we have to…

Q: Determine the turning points and point of inflexion for the curve y = 2x +3x2 -12x+7.

A:

Q: Find the points of intersection of the curves y = 5x2 - 3x - 2 and y = 2x - 1.

A: We have the equation of curves as y=5x2-3x-2            ⋯⋯1y=2x-1                      ⋯⋯2

Q: Locate and examine the nature of turning point of the curve y = x2 - 5x + 6.

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Q: Graph the curves y = x3(8 - x)

A: The equation of the curve is y=x38-x. To graph the equation, find some  points  on the curve. x…

Q: Sketch a graph of the linear equation. y = – 2x + 2 4- -5 -4 -3 -2 -1 --1 5 -2 -3

A:

Q: Determine the nature of the turning points for the curve y = x5 - 5x4 + 5x3 -1.

A: Given function is y = x5- 5x4 + 5x3-1   ......1

Q: Find the point of inflection of the curve y = 3x4– 8x3+ 6x2

A: An inflection point is a point on the graph at which the second derivative changes sign.If f…

Q: Find the point of intersection of the graph of the equations. x2+y2=1 -x+y=1

A:

Q: Sketch the graph of the equation 2x - y = 3.

A: The equation is given by 2x - y = 3 Substitute x=0, we get y=-3 Substitute y=0, we get x=1.5

Q: Find the point inflection of the curve 2y=9x²-x³+6

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Q: How does the value of a affect the graph of y = ax2 if a <=0?

A: It depend if a = 0 Or a is less than 0

Q: Consider the leading term of the equation y=-2x^2-3x+3. What is the end behavior of the graph?

A: We have to find the end behavior big function

Q: The line y = 5x + 4 has a y intercept of _________

A: The line y = 5x + 4 has a y intercept of _________

Q: Plot the graph of Y=3x – 4 between x= -2 and x=4

A: Given equation: Plot the graph of y = 3x-4: The graph is:

Q: What is the graph of Y=-2x+0

A:

Q: find the slope of the curve x^2+y^2-6x-4y-21=0 at (0,7)

A: Given curve  x2+y2-6x-4y-21=0we find slope at (0,7)

Q: Use a graphing device to graph the curve x = y4 - 3y2

A: Given curve:

Q: Graph the curves y = -x3 + 6x2 - 9x + 3

A: here the curve given to us is  y = -x3 + 6x2 - 9x + 3 as we can see that this curve is cubic so it…

Q: Find the equation of the form y = AsinBx or y = AcosBx for the graphs below. (a2, 3) (0, 0.5)…

A: Part a Given,

Q: I月 a. What is the maximum or minimum point for the curve y = x? - 4 b. What is the maximum or…

A: Find out the maximum or minimum point of the given curves

Q: What causes the graph of y = x² to open downward?

A:

Q: Find the equations of the curve for which y" = 6x2  and which passes through the points (0,2) and…

A: We have to find equation of curve, With differential equation y" = 6x2  which passes through the…

Q: y-intercept

A: In this question, we find the y-intercept (b) of a straight line that passes through the coordinates…

Q: Graph the functien Q1 y= 2 :-

A:

Q: What is the slope of the graph y = -x² at x = 3? %3D | -6 4 -4

A:

Q: Graph the curves y = x - 3x2/3

A: Given curves is y=x-3x23. We will find points to draw the graph. We will make table for x and y…

Q: Describe the shape of the graph of y=(x+2)(xto the power of 2-1) with regards to its intercepts

A:

Q: Sketch the graph of y = x 2 - 6x + 8 by plotting the roots and the minimum point.

A: For a quadratic equation of the form ax2 + bx + c = 0✦ a> 0 ⇒ parabola is concave upwards.✦ a…

Q: Determine the nature of the turning points for the curve y = x5 – 5x* + 5x³3 – 1.

A: Turning point of a curve: Turning point is a point where the graph has the highest value (maximum)…

Q: Graph the curves y = x2(2x2 - 9)

A: To determine: Graph of the curve y=x22x2-9

Q: IL FIND THE PROPERTIES OF THE CURVE AND SKETCH FULLY x2 +5x-4 6. Y2 = x-5

A: The derivative of a function is the change of variable with respect to another variable. The first…

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.