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

Q: Use the guidelines of this section to sketch the curve   y =  x - 3x 1/3

A: Let us make a table for the function x -8 -1 0 1 8 y -2 2 0 -2 2

Q: Use the guidelines of this section to sketch the curve. x2 - 25 y = x2 - 5x

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Q: Find the point of inflection of the curve y = x^3 - 6x^2 - x + 12. (-2,6) (2,-6) (-2,-6) (2,6)

A: We have to find point of inflection of given function.

Q: Use the guidelines of this section to sketch the curve. x - 5

A: Given : Function y = xx-5 To find : Graph of the given function?

Q: Find the exact length of the curve = √(y - 3), 1 ≤ y ≤

A:

Q: Describe the curve generated by x = 3 + 2t, y = -12 - 6t, for - ∞ < t < ∞.

A: Given: x=3+2t y=-12-6t            - ∞ < t < ∞ To find: curve generated by given functions.

Q: Use the guidelines of this section to sketch the curve   y =x / ( x3  -1 )

A: Given: To sketch the given curve using the guidelines.

Q: Use the guidelines of this section to sketch the curve  y =   x4  -4x

A: We have given the curve; y =   x4  -4x

Q: 2. Trace the curve x3 – 6x² + 11x – y = 6. -

A: Given curve is, x3-6x2+11x-y=6 That is, y=x3-6x2+11x-6 1) Domain and Range of given curve:    This…

Q: Identify and sketch the curve for x2-y2-6x = 0

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Q: Graph the relation of equation x2/4 + y2/16 = 1 using the points calculated in the table below.…

A: Answer

Q: Use the guidelines of this section to sketch the curve.   y = x/ x2-9

A:

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: Use the guidelines of this section to sketch the curve.   y =  x4 - 4x

A:

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: .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: Sketch the curve y = x* - 6x? and show intercepts, maxima and minima and points of inflection.

A: Follow the procedure given below.

Q: Use the guidelines of this section to sketch the curve.   y = (4 - x2)5

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: Use the guidelines of this section to sketch the curve   y = x (x- 4 )3

A: Consider the given function: y=xx-43 Now make a table for function value at different points:

Q: What is the equation of a family of curves orthogonal to 2x2 + y2 = c?

A:

Q: Find the length of the curve Y 12x', 1<X< 2

A: Given curve is: Y=X55+112X3, 1≤X≤2 To find the length of the curve.

Q: Use the guidelines of this section to sketch the curve.   y= 3√(x3 + 1)

A:

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

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Q: Find a possible point of inflection of the curve y x +3x2 + 6x

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Q: Use the guidelines of this section to sketch the curve.   y = 2 + 3x2 - x3

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Q: Use the guidelines of this section to sketch the curve. х — 6 y = x2

A:

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: Use the guidelines of this section to sketch the curve.   y = 1/ x2 -9

A: Let us plot a table with values of x and y. x y 0 -8 1 -8 -1 -10 2 8.75

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

A:

Q: Graph the relation of equation x2/4 + y2/16 = 1 using the points calculated in the table below.…

A: We have to graph the function x24+y216=1 by using the points in the table.

Q: Find the slope of the curve at the given point. 2y5+9x9=7y+4x at (1,1)

A: The given curve is,

Q: Use the guidelines of this section to sketch the curve.   y = x 5   - 5x

A: We make a table with different values of x and y.  x y  0 0 1 -4 -1 4

Q: Use the guidelines of this section to sketch the curve.   y = x2/ x2+ 9

A:

Q: The curve is given by 2 + 1), 0<x<3. 3

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: Use the guidelines of this section to sketch the curve.   y =  x4 - 8x2  +8

A: We make a table for the function x -3 -2 -1 0 1 2 3 y 17 -8 1 8 1 -8 17

Q: Find the equation of a line tangent to a circle whose equation is x2 + y2 – 4x - 21 = 0 at point…

A: Let's.

Q: The point P(4, -2) lies on the curve y = -

A: As per our guidelines, we are supposed to answer one question at a time. Kindly repost other…

Q: Find the exact length of the curve. 1sxs2

A:

Q: Identify and sketch the curve for: x2-y2-6x=0

A: Combine the like terms of x and y in the given equation, and then add 9 on both sides of the…

Q: Use the guidelines of this section to sketch the curve. y = x/7 - x2

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: Locate the inflection points of the curve y = e²x²

A: The given curve is y=e2x2. The first derivative of y=e2x2 is, y'=ddxe2x2=2xe2 The second derivative…

Q: or the curve y = ax³ + bx² + 12x - 7, what values of a and b will make the tangents to the curve at

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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.