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Q: x'+1 Sketch the graph of y=- Find a) the asymptotes. b) the critical points. c) the inflection…
A: (a) From the graph it is clear that, x = 0 is the vertical asymptote of the given function y = f(x).
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Q: 2. On the axes below, sketch at least one period of the following function: y = -2 tan (x - +2 Make…
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Q: 12. Given f (x) : p(x) where q(x) # 0. How do you determine if the function has the following? q(z)…
A: Vertical asymptotes are the lines corresponding to poles of a rational transfer function.
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Q: 4. If the graph of the function f(x) has a horizontal asymptote y=2 and vertical asymptote x--4…
A: Hence option (c) is correct.
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A: As per our company guidelines we are supposed to answer only first three sub-parts. Kindly repost…
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A: Given query is to find vertical asymptot, hole and graph.
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A: Since you have asked multiple questions in a single request, we would be answering only the first…
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A: Solution: The objective is to define the asymptotes and give an example
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Q: b) Are there any values of a and k for which the function above will have horizontal asymptote?…
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Q: 4. Which function has asymptotes at x = 3 and y = -7? y = d. y = +7 b. y = -7 c. y = -7 a. С.
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Q: x+3 f(x) = x+8 Intercepts: x_ y_ Asymptotes: Vertical_ Horizontal
A: "Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: X-2 Given the function, y = X+1 choose the correct horizontal asymptote. %3D Oy=1 Oy=0 None Oy= 3…
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Q: Sketch the graph of y = tan (r - ) on the axes below including any asymptotes. 4 -7/2 7/2 37/2 -1 -2…
A: Plot the curve for tan x. The function y = tan x is the parent curve for the given function y.
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Q: A conical section as in the equation below is shifted 2 units right,and 2.83 units up. The asymptote…
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Q: S(x) = domain: %3D asymptote:
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A: Given: y=lnxx (a). To calculate the horizontal asymptotes, solve the limit y=limx→∞lnxx
Q: 12. Given f (x)= where q(x) 0. How do you determine if the function has the following? a. A…
A: We have to define asymptote.. As per guideline we have to solve one question
Q: Question 4 In sketching y = e² (x-1) In x' None of the choices No horizontal asymptote O y = 1 O x =…
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Q: has: x-2 The function f (x) = x2 -4 O a) A Hole b) A Horizontal Asymptote O c) An Oblique Asymptote…
A: Using hole and horizontal property
Q: GIVEN: y^(2)=(x^(4)-3x^(2)+2)/(x^(2)) Determine the following. 1. X-intercepts 2. Y-intercepts 3.…
A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…
Q: d) f (x) = (x-1)(x+3)(x-5) (x+2)²(x-4) 10 y-intercept x-intercept 8- vertical asymptote(s)…
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Q: 3. y = 3 cot (+) + 1 a = b = c = d = Period = Midline: Asymptotes:
A: Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: Find the asymptotes parallel to the axis of the following curve: x'y -x'y-xy' + x+y+1=0.
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Q: 3) Match the following cases with the corresponding letters: Oblique Asymptote: A: n>m Horizontal…
A: To compute the horizontal asymptote we compare the degree of Numerator and degree of the denominator…
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Q: Select an answer ent No horizontal asymptote a Horizontal asymptote at y=0 a Horizontal asymptote at…
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Q: а 3 b = c = d %D Period %3D Midline: Asymptotes
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Q: Given: y^2=(x^4-3x^2+2)/(x^2) Determine the following. A.) Oblique Asymptote (OA) B.) Curvilinear…
A: A.) Oblique Asymptote (OA): The line y=mx+c is a oblique Asymptote of the function y=f(x) if…
Q: 10. For the function f(x) = -2· ex + 6, find the domain, range, and equation of the asymptote.
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Q: fix) = Vertical Asymptote(s): %3! e+9 Worksheet X = Horizontal Asymptote(s): Worksheet y =
A: Given:- f(x) = 9ex/(ex+9) To find:- Vertical and Horizontal Asymptote for given function f(x)
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A: Given: The function is y=3x-1+1.
Q: Question 5 For the equation f(2)= f(2)= 32+18 al Vertical asymptote Horizontal asymptote describe…
A: Introduction: A horizontal asymptote is a line that runs along the x-axis of a function graph but is…
Q: Give the equation of the horizontal asymptote, if any, of the function. h(x) = *+6 x2 - 64 no…
A: We can find the equation of horizontal asymptotes as below
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- 5x−12/x^2−x−42 has vertical asymptote(s) at x=A cylindrical tank holds 22 liters of water. At time t = 0, two taps are opened simultaneously, the upper tap that feeds the water tank with a constant speed of v1 liters per minute and the lower tap that expels the water from the tank with a constant speed of v2 liters per minute . Suppose that v1 = 11 liters / minute and v2 = 3 liters / minute. If the tank has a capacity of 75 liters, when will the tank be filled?On the graph of f(x)=sinx and the interval [−2π,0), for what value of x does f(x) achieve a minimum?
- Find the third iteration value in finding an extremum (maximum/minimum) value of f(x) = 5sin2x - 2x2 using Newton's Method with an initial guess value of x = - 0.38. Round off your final answer to nine decimal places but do not round off on preliminary calculations.Find the fourth iteration value in finding an extremum (maximum/minimum) value of f(x) = 5sin2x - 2x2 using Newton's Method with an initial guess value of x = - 0.38. Round off your final answer to nine decimal places but do not round off on preliminary calculations.The sales of a book publication are expected to grow according to the functionS = 300000(1 − e−0.06t),where t is the time, given in days. (i) Show using differentiation that the sales never attains an exact maximum value.(ii) What is the limiting value approached by the sales function? A town has a population of 5000 persons, but is expected to grow by 2% every year.(i) What would be the population size in 7 years? (ii) Find the sum of the first eight terms of the sequence 1/8, -1/4, 1/2..
- What values of a and b make ƒ(x) = x3 + ax2 + bx have a. a local maximum at x = -1 and a local minimum at x = 3? b. a local minimum at x = 4 and a point of inflection at x = 1?A particle moves along the x-axis so that it’s position at any time t≥0 is given by x(t)=t^3−3t^2+t+1. For what values of t, 0≤t≤3, is the particle’s instantaneous velocity the same as its average velocity on the closed interval [0, 3]? Your solution should clearly show all steps leading to the answer as well as justification for it.Find the fifth iteration value of an extremum (maximum/minimum) value of f(x) = 5sin2x - bx2 if b = 2 using Newton's Method with an initial guess value of x = - 2.9 . Round off the final answer to five decimal places but do not round off on preliminary calculations. use this formula
- sketch the graph of y = x^3 / (x^2 - 4), keep in mind the information provided:1. x and y intercept: (0, 0)2. Vertical asymptotes: x = 2, x = -23. There is no horizontal asymptote.4. Discontinuity at x = -2 and x = 2.5. First derivative: y’ = (x^4 - 12x^2) / (x^2 - 4)^26. Critical points: x = 0, x = 2√3, x = -2√37. Intervals of increase: (-∞, -2√3) U (2√3, ∞)8. Intervals of decrease: (-2√3, -2) U (-2, 0)9. Local maxima: (-3.46, -5.20) and (3.46, 5.20)10. Second derivative: y’’ = (8x^3 + 96x) / (x^2 - 4)^311. Critical numbers: (0, 0), (√12, 3√3), (-√12, -3√3)12. Point of inflection: (0, 0)13. Concave upward: (-2, 0) U (2, ∞)14. Concave downward: (-∞, -2) U (0, 2) A sketch of the graph (by hand) - Labeling of vertical asymptotes on the sketch - Labeling of horizontal asymptotes on the sketch - Labeling of x and y intercepts on the sketch - Labeling of maximum and minimum points on the sketch - Labeling of points of inflection on the sketch A sketch of the graph on Desmos with all key…Find the third iteration value in finding an extremum (maximum/minimum) value of f(x) = 5sin2x - 4x using Newton's Method with an initial guess value of x = 1.9. Round off your final answer to eight decimal places but do not round off on preliminary calculations.supposed that a drop of mist is a perfect sphere and that, through condensation, the drop picks up moisture at a rate proportional to its surface area. Show that under these circumstances the radius of the drop increases at a constant rate. dv/dt=1 the radius increases at a constant rate because the equation simplifies to dr/dt= ____, a constant K x S S+k S-k