A- Find asymptotes for the following functions : x2-1 (1) +x-x-3 (2) x2+ 2 x2-1 dy B- Find dx (1) y= 1+r ,x=rt-, r# 0 (2) y = csc x

Q: c) Use Secant Method to find the root of f(x)= x -x-1 with two initial points x, = 1 and=1.5 and =…

A: Secant method Steps  Step-1: Find points x0 and x1 such that x0<x1 and f(x0)⋅f(x1)<0.…

Q: 5. Find absolute maxima and minima of the function f(x, y) = x² + y² on the closed triangular plate…

A: Answer

Q: Find the horizontal asymptote of f (x) = 8-822-240z 3z-3z2 60z Section 3.4 Oy = Oy = 4 Oy= Oy= 0 Oy…

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Q: 2z2 + lz – 6 Let f(z) = 2x2 + 3x +1 This function has: 1) A y-intercept at the point 2) x-intercepts…

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Q: 2x2 + 13x + 15 Let f(x) 2х? + 5х — 25 This function has: 1) A y intercept at y= Invalid use of a…

A: rational function

Q: Find the limits in Exercises 41–54.

A: Since you have posted multiple questions, as per our policy we will answer first question. Please re…

Q: Q:A cubic polynomial f (x) vanishes atx = -2 and has a relative minimum/maximum at x= -1x = 1/3. If…

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Q: 2x? – 7x – 15 Let f(x) 2a2 + læ – 1 This function has: 1) A y-intercept at the point 2) x-intercepts…

A: For y-intercept, put x=0 to find y. For x-intercept, put y=0 to find x. The line x=L is a vertical…

Q: 6. The function f(x) has horizontal asymptote(s) at %3D 3+ 2e-z Select one: O a. y = 0 only O b. y =…

A: Explanation of the answer is as follows

Q: • f (x) is decreasing at ¤ = -6 f (x) has a local minimum at a = -2 • f (r) has a local maximum at r…

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Q: 6. The interval of increase for the parametric rational function y= k / (x - 3)^2, where ke R and k…

A: The given function is: k(x-3)2 The function is increasing for those values of 'x'

Q: OE OF OA OB Ос OD The only horizontal asymptote of f(x) = A)y=0 E) y = In (3) B) y = 1 F) None In…

A: To determine the only horizontal asymptote of fx=lnxx.

Q: The point (a,b) is the critical point of the function f(x,y) = xe +6y-8X+6 Find the value of a.

A: The function is: f(x,y)=xey+6y-8x+6

Q: 4/5elue f(X)= X'-2X- 5 Using Secant methed, Cerreet apto 2decimal elases.

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Q: 2/3 Determine where the absolute extrema of f(x) = 3x25 - 2x on the interval [-1, 1] occur. The…

A: To find the absolute extrema of f(x) check the values of f(x) at critical points and at the end of…

Q: 1. The graph of the function g(x) consists of two straight lines and a semicircle. Use it to…

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Q: 3. a) Use REGRESSION to find a quartic function y = ax* + bx3 + cx² + dx + e that fits the data. b)…

A: given y=ax4+bx3+cx2+dx+eUsing the regression to find the quadratic function

Q: find the extreme values (absolute and local) of thefunction over its natural domain, and where they…

A: Consider the given function y=131-x2 It can be write as y=131-x12

Q: Does a function f(x) = a* where a > 0 have an x-intercept? a. Yes, and it is x=0 b. Yes, and it is…

A: Givenf(x)=ax  where…

Q: 2x2 - 9x + 10 Let f(x) = 3x2 + 17x + 20 This function has: 1) Ay intercept at y= 2) Roots at A and…

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Q: x² + 2x 15 x → -00, f(x)→ x → 0o, f (x) → _ - f(x) %3D x² + 10x + 25 horizontal asymptote (HA)…

A: Let us first find limx→∞x2+2x-15x2+10x+25. So,…

Q: x* +1 a Which of the following is not an asymptote of the curve. 3 - f(x) = - (x² –1)(x² – 4) O A)…

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Q: The point (a,b) is the critical point of the function f(x,y) = xe" +6y-7x+21 Find the value of a.

A: Given : fx,y = xey+6y-7x+21

Q: X^2+2*x on the interval 0 to 3 with a step size of .5 using trapezoid rule

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Q: 6x+1 Given f(x) = 4x²+6x+9' 2. Use limits to investigate and then write a/n equation(s) for any…

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Q: uaquim's starting salary at a company is $42,000 per year. On average, employees receive a 6.5%…

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Q: An airplane is flying at altitude H when itbegins its descent to an airport runway that is at…

A: Given- y=ax3+bx2+cx+d To find- dydx at x=-L. Formula used- The power rule of derivative. ddxxn=nxn-1

Q: Need answer for C

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Q: Along the path x = ey find lim (1,y)→(1,0) y²-6zy 3r-y-3 does not exist O 3 0 2 0 -3 O 2 0

A: Find limitx,y→1,0lim y2-6xy3x-y-3calculate limit along the curve x=eyconcept:- convert limit in one…

Q: xsin 1x Vx+1 2tan-x Vx+1 2tan-1x QI) Find of y=: e2x+1

A: We will find dy/dx as following .

Q: g(x,y)=y-x2=0 depending on the condition f(x,y) = x2+y2-6x+9   can you find with the lagrange method…

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Q: 1 3. The curved surface of a funnel is generated by revolving the graph of f(x) = x³ + on 12x the…

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Q: Consider the function f(x) 2x3 – 3x? – 12x + 18. a. Find the first derivative. f'(x) = | 6x2 – 6x –…

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Q: Given the function g(x) = 4x* 36x? + 60x, find the first derivative, g' (x). g'(x) = Notice that…

A: Given function is gx=4x3−36x2+60x Differentiate gx=4x3−36x2+60x with respect to x…

Q: 1. y-intercept 2. x-intercepts 3. vertical asymptote(s) 4. end behavior asymptote 15 + 4 f(x): I – 5…

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Q: 212 – 9z +4 - Let f(z) %3D 3z2 + 7z +2 This function has: 1) Ay intercept at the point 2) x…

A: Since you have asked a question with multiple question in a single request, we would be answering…

Q: a) Find the extreme values of f(x, y) = x' + y' - 3xy +1 by using the Second Derivatives Test. b)…

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Q: 4x +1 – 3x + 2 56z 1 with J'(x) 14r – 19 156z + 115 3. Let f(x) = and "(x) =( 2 (1² – 3x + 2)3 (12 –…

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Q: a) y=(x+2)/x^2 - 1) b) y= ((x^2 - 1)(x+2))/ x-3 find the x and y intercept, symmetry,…

A: Given :a) y=(x+2)(x2-1) b) y=(x2-1)(x+2)(x-3)To find : The x and y intercept, symmetry,…

Q: 2. Consider the function g(x) = -3x³ + x – 2. %3D (a) Find and classify all maxima, minima and…

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Q: Find the vertical asymptote(s). x – 6 f(1): (x + 8)(x – 6) a = 8, Oy= -8 Dx = -8 Ox = 6 x = -6

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Q: 3. The horizontal asymptote(s) of f (x) = Vx² – 1- væ² +x.

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Q: f Goiny )= x*x f -6x+ g fundtion depending 2. on the gCxy) =y -x² 0 condition with 2

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Q: 2. The horizontal asymptote of the curve 2x2 – 3x y = is x² + x - 2 A x= -1 or x = 2 3 B x = 0 or x…

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

Q: 27. The equations of the three asymptotes to the curve (x-2)? y 3= are (x+3)(x – 4) A x = 2, x = -3,…

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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

Q: V%3D 2(2-0.5(x-4))-5 y- intercept Equation of the Horizontal Asymptote Domain D = {xER} Range 101 8-…

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Q: 2 - x The function y= x² – 5x +6 has vertical asymptote/s at

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Q: Find the absolute maxima and minima of the function on the given domain. 6) f(x, y) = 6x + 5y on the…

A: f(x,y) = 6x+5yfx(x,y) = 6     fy(x,y) = 5  (Hence No critical points of the function itself)Lets…