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

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.   y = x/ x-1

A: To find the x-intercept we plug y=0 So x-intercept is 0 To find the x-intercept we plug x=0 So…

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: Find the equation of a line normal to the graph of y = 3x+5/x−1 at x = 3

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Q: Use the guidelines to sketch the curve  y = 2 x2  / ( x 2  -1 )

A: For, x=0, y=0  So, the y-intercept is 0   Then we plug y=0 and find x so, x-intercept is 0.

Q: Use the guidelines of this section to sketch the curve.   y = 2√ x    -x

A: We will make a table for the function  x 0 1 4 9 y 0 1 0 -3

Q: Locate the points of inflection of the curve y = (x^2)(e^x) * -2± /3

A: Solve the following

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

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Q: Graph the curves y = x√(3 - x)

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

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Q: Sketch the graph of the curve y = x-1

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

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

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Q: Find the coordinates of the stationary points for the curve  y =-x3 -4x2 + 3x +18. Determine the…

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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 point on the curve 4x

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

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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: -5 -4 -2 -1 2 3

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

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

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Q: Q3\ Sketch the graph of the curve 1- y=x² +2

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

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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: Use the guidelines of this section to sketch the curve.   y= 3√(x2  -1)

A: We need to find the x intercept, y intercept, vertical asymptotes, horizontal asymptote etc to…

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

A: The given function is y=xe-1x. Sketch the graph of the above function as shown below.

Q: Sketch the curve: y² = Xー4

A: A function is an equation that connects the variables x and y. In the xy plane, a function…

Q: Graph the curves y = x√(4 - x2)

A: the given curve is y=x4-x2 we have to graph the given curve. the domain of the given function is:…

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: 13 4.

A: Slope of the curve at a point  is dy/dx at that point

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: Find the closest point to the point (2,0) on the y = x curve.

A: To find the closest point to the point (2,0) on curve y=x

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

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Q: Use the guideline of this section to sketch the curve 1. y = 1 + 1/x + 1/(x ^ 2)

A: To Sketch: y=1+1x+1x2 Explanation: (a). Domain and Range y=1+1x+1x2is defined everywhere except…

Q: Sketch a graph of y = Vx + 4

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Q: Find the x-coordinate of the point where the curve y = x3 - x crosses the horizontal line y = 1.

A: Given:                                 y=x3-x and y=1  Let                                y=x3-x…

Q: Sketch the curves 1.) y = 3+4x-x2

A: the equation of the curve is: y=3+4x-x2 we have to sketch the 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: I Discuss the properties of the curve and sketch fully: a) y = x² e-x

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

A: Consider the given function as y=xe-x

Q: Find the following points of intersection.

A: Given that, y=42xy=2x2

Q: ) Sketch the graph of the curve y = x² -1

A: Solution for the given problem is below:

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

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Q: Graph the curves y = (x - 3)2 ex

A: Here given as y=x-32ex When x=3 Then y3=3-32e3=0

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…

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.