2. Find all asymptotes and intercepts, if any, and sketch the graph of x +3 f(x) = vert. asymp. x-1 -3 horiz. asymp. 6-1 No Šlant asump (3.0) y int. o-3) slant asymp. -inter x int..

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Q: 3. State the equation of the horizontal asymptote 3 f (x) = %3D 4x (x – 6)

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A: To find equation of hyperbola ,having vertices at (-1,-1) and 3,-1;asymtote to the line y+1=32x-1

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Q: Sketch the graphs of y= e and y = In x on the same coordinate plane. Label any intercepts and 20.…

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Q: 14) Determine all the asymptotes to each of the 3x following curves: (a) y= x-2 1 (c) y (x-(x+3) (b)…

A: given:a) y=3xx-2b) y=x-12xx+3c)  y=1x2-4d) y=1-x29x2-1e) y=3+x3-x

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A: Original equation :y = 4/x Translation : x = -4 , y = -5

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Q: b. The possible vertical asymptote of the given curve x+7 y= x2-49 O x = 7 O x = -7 O x = +7,x = -7

A: To find the possible vertical asymptote of the given curve.

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A: Asymptote of a curve is a line whose distance with the curve tends to zero as the x or y or both…

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Q: 3 What is the equation of the vertical asymptote of Ax): 10x+ 2 ? O a) x- O b) x--s c) y = O d) y-

A: Given function is  f(x) = 3/(10x+2)  Find vertical Asymptotes.

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Q: Use limits to determine the equations for all horizontal asymptotes. 1 - x? Vĩ + 4 a. y = b. f(x) =…

A: There are three kinds of asymptotes: horizontal, vertical and oblique. For curves given by the graph…

Q: 5) Find Vertical and Horizontal asymptote Show work 2x x² +1

A: We can find the asymptotes as below.

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A: Topic = Derivative

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Q: Find the vertical (VA) and horizontal (HA) asymptotes of the function 45z - 54z + 5z - 6 20z + 21z…

A: Given function is  hx=45x3-54x2+5x-620x2+21x-54

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A: We have to find

Q: Can you help with this problem step by step?

A: Given: -

Q: Find all vertical asymptotes of the graph of y = - 5x + 10 x² +8x + 12 OAX= -6 and x =5 O B. X = - 6…

A: y=5x+10x2+8x+12We factor the numerator and denominator. y=5(x+2)(x+6)(x+2)(x+2) is in both numerator…

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Q: 5. What is the Horizontal Asymptote of the FUNction (4x² +7) (3x3 +8) O No Horizotal Asymptote X =…

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A: We have to find the horizontal Asymptote from curve and vertical asymptote

Q: 1 State the vertical asymptotes of f ( x 22—4а —12 Ox = 6, x = -2 Ox = -6, x = -2 Ox = 6, x = 2 Ox =…

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Q: — 4х — 2а3 — 3 Find the horizontal asymptote of f(x) = 2а3 — г? + 3 y =

A: Please find attachment for the details solution

Q: D. Find the vertical asymptote(s). (x + 1)(- 7)(z + 10) f(2) = (I – 1)(x – 7)(x + 10) I = -1 x = -10…

A: f(x)=x+1x-7x+10x-1x-7x+10

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Q: 43. Given the graph of y = f(x), sketch the graph y= f(x) on the same grid. Label all asymptotes. y…

A: Given: y=fx To find: Sketch the graph of y=1fx and label all the asymptotes.

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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.