5) What are the asymptotes of y = 3 Sec x Function Vertical asymptotes. Where (x-intercepts of Cosx =0)

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A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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A: We have to evaluate the limit limx→0 2 cos(4x) - 4x2 - 2sin(2x) - x2 - 2x

Q: 1-cos (x-7) lim ثم اختر الاجابة الصحيحة؟ أحسب الغاية التالية xt (x-n)sin (x-7)

A: We will use the limit theorems to evaluate the limit as x tends to π.

Q: - i) By using L'Hopital Rule, find sinx lim x-0 e3x 1 ii) Given that a = sin V3 2, find, csca -1

A: In L Hopital's rule take the derivative of numerator and denominator separately and than put the…

Q: 6- The functhions cosine and Sine hyper boli Cus are defined as ー× e^+é^ and cosh x 2. Sinhx= 2.…

A: We will prove the given result.

Q: Make a table using multiples of p/2 for x between 0 and 4p to help sketch the graphof y = x sin x.

A: given: y=xsinx use the fact that  sinπ-θ=sinθsinπ+θ=-sinθsin2π-θ=-sinθ

Q: 5. y = 4 tan -(x-x) Amplitude Period Phase shift Vertical shift_ Equations for all asymptotes_…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

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A: Topic:- limits calculus

Q: 10) lim TT X-- sinx-cosx - TT X- 4

A:

Q: (a) Find the equation of the tangent line to the curve 4x y-3x2 +5y = 10, at the point (1,-1).…

A: a)

Q: エ→2 x² -4 1- cos 2x 7) lim X sin x エ→0

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the area bounded by the trigonometric curves 5ñ to - 4 3.667 square units 3.459 square units…

A: topic- area bounded by curves

Q: 3) Use L'Hopital's Rule to evaluate and check your answers numerically: 1 (b) lim x →0 sin² x 12/200…

A:

Q: For question 17 –18, find the limit. sin 4x lim x>0 x 17. sec x-1 lim 18.

A: Solve for the limit

Q: by L'Hopital's rule 1-cos(x) lim x2

A:

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A:

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A: the given function is: y=4tan14x-π   as we know that if we have a function y=f(x) having period 'c'…

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A: We have function y=tanx which can be written as  y=sinxcosx

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A: limx→∞2x53-x13+7x85+3x+x

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Q: cos x D. Explain why we cannot apply L'Hôspital's rule to evaluate lim x-0

A: Given query is to find why L'hospital can not be used.

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Q: lim (x approaches 0) of [sin(5x)cos(6x)]/(x)

A:

Q: Find the absolute extrema of the function on the closed interval.

A: The given function is y=tanπx8    on  0, 2. Compute the critical points as follows.…

Q: 11) To Graph of y = 2 cosx %D a = 2R Period = Period = Find the intervals below 2- 1- 0. -1- -2-

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A: To find the period and asymptotes of the function

Q: Q3 :(A): By using " L' Hopital rules "; Find the limits of : 2 (1) lim,-ol; (2) lim 0 x ³ (tan-¹x-x)…

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Q: Graph the function y = tan()+1 to the right on the interval (–2,2). In the space below, list all…

A: Given: y=tanπ2x+1; x∈-2,2

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A: h(θ) = sin2(θ)  [ -π/2, π ]

Q: 1- cos 2x 5. Calculate the limit lim using a) l'Hopital's rule b) vanishing functions x sin 3.x

A: For the solution follow the next steps.

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Q: lim as x approaches 0   x sin(x)/1-cos(x)

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Q: 1-cos (x-T) lim x→T(x-T)sin (x-π)

A: Given limit, limx→π1-cosx-πx-πsinx-π

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Q: the slope of the tangent. line to: the graph of y=XT COSXY the point (0,1)? What is of: 4=XT COSメ

A: Given: y=x+cosxy

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A: given

Q: 6. Sketch the graph of the function over one period y=2+ sin(4x). Plot at least three points…

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Q: 5. Find the slope of the graph of cos(x + y) = 2x at the point ( 0, n/2 ). Hint: Differentiate…

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: The function tan x is undefined at x =±p>2. How does this fact appear in the graph of y = tan-1…

A: The graph of the equation y = tan-1 x is as follows:

Q: 7x( cos (4x) – 1) Use l'Hôpital's Rule to evaluate lim sin (5x) – 5x

A:

Q: 3. f(x) = tan + 1 Period: 3 Positive Asymptote: Negative Asymptote: y-intercept: 1

A: Consider the function  f(x)=tan32x+1

Q: 3 Find the maximum and minimum values for f(x) = - 4-(/2 cos x - V2 sin x)

A: Topic = Functions Maximum value of f(x)=1.5 Minimum value of f(x)=0.5

Q: 3. Show that the function | sin(2.x)| is not differentiable at r = 0 but the function | sin(2x)|1+T…

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