In this problem, you will use the guidelines of Section 4.5 to address each part and ultimately sketch the curve. Show complete work and analysis for every part. The point is to do all of this with without technology (the only exception being the possible use of a caleculator to approximate a number for the purposes of analysis). Inx 1. Let f(x)=- A) Find the domain and express it in interval notation. B) Find the intercepts and express them as ordered pairs. C) Determine if f is even, odd, or neither. Make sure you justify your answer.

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: Write the equation of the tangent line to the graph of y= 8x^4-7x-1/3-x^2 at x=1 check the…

A: First we find out first derivative at x=1 which is slope of tangent line.then we use equation of the…

Q: Find the length of the curve defined by Y = 3x³/2 + 3 from x :3 to x = 9.

A: Question: Find the length of the curve defined by y= 3x^3/2 + 3 From x=3 to x= 9

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: At what points on the graph of ƒ(x) = x3 + 12x2 + 55x + 14 is the slope of the tangent line 7?

A: We have given function fx=x3+12x2+55x+14 Slope of function at any point given by derivative of…

Q: Find the points on the graph of y = x2 + 3x − 7 at which the slope of the tangent line is equal to…

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Q: what is an equation of a circle whose center is at (2 -4) and is tangent to the line x=-2

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Q: Find the points at which the graph of this equations has vertical or horizontal tangent lines:…

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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: In the given question as follows,, verify that the two families of curves are orthogonal, where C…

A: Given :                      x2 + y2 = C2   ,   y = kx                     To show that they are…

Q: Use the guidelines of this section to sketch the curve   y =x/  sqrt( x2   +1)

A: This function can not have the denominator equal to 0, so there will be no vertical asymptote.

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: what would the equation of the tangent line to the graph of y=(4x^4-3x-1)/(3-x^2) be at x=1

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Q: A coordinate of the point on the curve of y=2x3−3x−6, where the tangent at the point is…

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Q: The graph of ax + b f(x) = (æ – 1)² has a horizontal tangent line at (–3, –). Find a and b.

A: For horizontal tangent line at a point derivative of the given curve is zero , just used it and…

Q: Find the point on the graph of y = 3x2 − 2x + 5 where the tangent line is perpendicular to the line…

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Q: Show that the curve y =(1 + x)/(1 + x2) has threepoints of inflection and they all lie on one…

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

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Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line.…

A: Given equation of a graph is 4x2+y2-8x+4y+4=0 Since we need to find the points where the tangent to…

Q: Find the inflection points of each of the given curve.  y = x3 – 3x2 + 4

A: ⊙a function y=f(x) is said to have inflection point at x=a, if its second derivative i.e. d2ydx2…

Q: Find the point on the curve 4x

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Q: In the given question , find equations of the two tangent lines to the graph of f that pass through…

A: Given function and point is  f(x)=x2,  1, -3

Q: At what points on the graph of ƒ(x) = x3 + 6x2 + 17x + 15 is the slope of the tangent line 5?

A: Given: fx=x3+6x2+17x+15 To Find: The points at which the slope of the tangent line is 5.

Q: Therefore, the curve y = x* - 2x2 + 2 has horizontal tangents at x-0, 1, and -1

A: Just compute the derivative and equate it to zero.

Q: In the given equation as follows, determine whether the statement is true or false. If it is false,…

A: Given statement : If the graph of a function has three x-intercepts, then it must have at least two…

Q: What are the coordinates of the points in the graph of y2-x²+ 6x – 13=0 in which the tangent line is…

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Q: Find the exact length of the curve. 는x - - In(x), 1<x<6 4 2

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Q: 4)Solve for the family of curves of straight lines with y-intercepts thrice as their corresponding…

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Q: Find the slope of the tangent to the curve. (If an answer is undefined, enter UNDEFINED.) 2x2 - 10x…

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Q: (b) Find the points on the curve y = 2x3 – 3x2 – 12x + 20 where the tangent is parallel to the…

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Q: exact length of each of the following curves.

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Q: 1 F(t) -1<t<1

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Q: The shortest distance from the point (5, 10) to the curve x2 = 12y is: 5.127 6.445 4.331 3.474

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Q: 42. At what point on the graph of f(x) = -5x² + 4x – 2 is the slope of the tangent line 6?

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Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

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Q: Find the exact length of the curve of the equation that is in the picture, make sure that you show…

A: We first find dy/dx

Q: Find the exact length of the curve. + 4х 1 < x < 3 y

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

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Q: What is the slope of the tangent line that touches the graph of In(y)+e2x-=3y – 4x at the point (A 1…

A: The solution are next step

Q: For 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: Find the length of the curve defined by y = 4x3/2 + 11 from x = 2 to x = 8.

A: We will differentiate the function and use the arc length formula.

Q: Find the exact length of the curve. 1 x² -In(x), 1< x < 8 4

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Q: Find the points where the graph of 2y-x+4x-6y+1=0 has horizontal or vertical tangents.

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Q: Find an equation of the tangent line to the graph at the given point. x2y2 − 9x2 − 4y2 = 0,…

A: Given that, x2y2 - 9x2 - 4y2 = 0 Points are :  (-4, 23) We have to find the tangant line to the…

Q: Find all values of x such that the tangent line to the graph of y 5x2 - 9x + 8 is steeper than the…

A: To determine all the values of x where the slope of the first curve is greater than the slope of the…

Q: Find the length of the curve : y = + from x = 1 to x = 3 - 3 4x

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Q: Use the methods of this section to sketch the curvey =  x3  -3a2x +2a3, where is a positive…

A: The curve is  y =  x3  -3a2x +2a3, where is a positive constant.

Q: At what points on the graph of ƒ(x) = x3 + 6x2 + 21x + 2 is the slope of the tangent line 9?

A: Given:  f(x)=x3+6x2+21x+2Slope of tangent line=9 To Find: Points where the slope of tangent line is…

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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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.