Find the horizontal and vertical asymptotes for the function Y=6-2x^3/x^3 -x^2+12x

Q: Graph the function y=-sin2x on [-pi,0]

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Q: What is the process for determining the horizontal asymptote of a function from its equation?

A: The method used to find the horizontal asymptote changes depending on how the degrees of the…

Q: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate…

A: Explanation: Given that,  Rate of snowstorm first two hours = 1 inches/hours Rate of snowstorm next…

Q: Use a graphing utility to verify your results. y 2) 1. Subrt Amsant

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Q: of function

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Q: ASYMPTOTE

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Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: Given the vertex (h, k) = (2,-1) The parabola

Q: Find the formula for a function that has a vertical asymptotes x=4 and x=6 and a horizontal…

A: The easiest type of function to use for these types of problems are rational unctionsFor vertical…

Q: Graph y = - x“ + 2x² – 10 function using x- and y-intercepts, critical points, points of inflection,…

A: Plot the graph for f(x).

Q: Find the horizontal asymptote of 2. (x + 3)(5x – 1) y = (5 — г) (5а + 2) f(x)

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Q: Find a function whose graph is a parabola with vertex (7, 8) and that passes through the point (6,…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Use symmetry, first derivative, second derivative, and asymptotes to graph function:y: 2-x

A: The given function is y=x2-12-x ...............(1)

Q: Find the exact location of all relative and absolute extrema of the function f(x)= 8x² +48x +9 with…

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Q: The initial weight of a container is 6.2 pounds. As water is added to the container, the weight…

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Q: Find a function that models the area of an equilateral triangle in terms of the length x of one of…

A: The function is equilateral triangle:   Concept used: The Area of equilateral triangle is defined…

Q: Use the graph of the function to estimate the interval on which the function is decreasing y Enter…

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Q: The equilateral trianhle is inscribed in a circle of radius 6r. Express the area A within the circle…

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Q: Please help me solve this question

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Q: 5x + 4 f(x)3D 2x -3

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Q: Determine the horizontal asymptote. (3x–1)(x+3) (x+2{x-4) f(x)

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Q: Differentiate the function using any appropriate method

A: Our objective is to find the derivative.

Q: Find any asymptotes and relative extrema that may exist and use a graphing utility to graph the…

A: The function is y=lnxx. The vertical asymptote occurs at the points where the function becomes…

Q: Write down a function that has vertical asymptotes at the points x=1, x=2, and x=3, and a horizontal…

A: Given The function has vertical asymptotes at the points x=1, x=2, and x=3, and a horizontal…

Q: Find any asymptotes and relative extrema that may exist and use a graphing utility to graph the…

A: Given :  The function  y = xx  ,  x>0   To determine :   (a)   Asymptotes of the given function.…

Q: Find any asymptotes and relative extrema that may exist and use a graphing utility to graph the…

A: The relative extrema is obtained when the first derivative of the function y=lnxx equals zero. The…

Q: Find increasing and decreasing function with graph

A: Find increasing and decreasing function with graph

Q: Graph two periods of the function ƒ(x) = 3 cotx/2 + 1.

A: The question is taken from the trigonometry in which we have to plot the graph of the given function…

Q: How can we analyze the graphs of functions having horizontal or vertical asymptotes?

A: Check for when we have vertical and horizontal asymptote

Q: A rancher wants to fence in an area of 1,500,000 square feet in a rectangular field and then divide…

A: Let the length of the rectangular field be y and the width be x. Assume the farmer divides the field…

Q: A rancher wants to fence in an area of 500,000 square feet in a rectangular field and then divide it…

A: Let l be the length and w be the width of a rectangle.Then Area = l×b Perimeter = 2×(l+b)

Q: Find the equation of the slant asymptote for the function f(x)=x^2-x/x-2 y=

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Q: Suppose a cannon is placed at the origin and elevated at an angle of 60 degrees. If the cannonball…

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Q: You have 1200 feet of fencing to enclose a rectangular region and subdivide it into three smaller…

A: Let  x and y be length and breadth of rectangular region respectively. Given data, Perimeter of…

Q: A population of 490000 microbes increases at the continuous rate of 12% per day. Draw the graph of a…

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Q: Find a function that has vertical asymptotes at x=4 and x=-2. X-intercepts at (1,0) and (-1,0) and a…

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Q: Identify any horizontal asymptotes for the function   y=160-17x. If the function has no horizontal…

A: A horizontal asymptote of a function is a horizontal line which the graph of the function approaches…

Q: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate…

A: Given that: Rate of fall of snow for the first 2 hours = 1 in/hrRate of fall of snow for the next 6…

Q: Sketch the graph of the function. Indicate the asymptotes, local extrema, and the points of…

A: Explanation of the answer is as follows

Q: Graph the function -2x^2-4 on [0,3] and find it's average sun over the interval    label answers…

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Q: y = + x2 (х — 2)2

A: Given

Q: Sketch the graph of the function over the indicated interval plot two exact points. y = 2tan( 7x-),…

A: to sketch the graph of the function

Q: Express the area A of a rectangle as a function of the length x if the length of the rectangle is…

A: The area of the rectangle is given by the formula A=l×w where l is the length of the rectangle and w…

Q: Identify the horizontal and vertical asymptotes from the graph. y 10 6. 8. 7. 6. 3. -10 -9 -8 -7 -6…

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Q: find: x intercept y intercept vertex interval of increase interval of decrease domain  range

A: For simplicity, we will plot the graph. Here, y=2x2-6x+15.

Q: A quadratic function is given f (x) = x^2 + 6x + 8. In standard form f (x) = (x+3)^2 - 1. If the…

A: Consider the quadratic equation:

Q: Find the x and y intercepts ,the domain,the vertical and horizontal asymptotes and then sketch the…

A: To find the x-intercepts we plug y=0 and solve for x So, x-intercept is = (-1,0) For y-intercept,…

Q: Find the horizontal asymptotes of and vertical the function.

A: The given function is: y=x4-3x2-10x2-10x+26 To find the Horizontal asymptote, just equate the…

Q: You have 600 feet of fencing to enclose a rectangular field. However, one side of the field lies…

A: To Determine: Express the area of the field, A, as a function of one of its dimensions, x. Given:…

Q: You have 800 feet of fencing to enclose a rectangular field. However, one side of the field lies…

A: Rectangular field: You have 800 feet of fencing to enclose a rectangular field. One side of the…