Sketch: f= (X -2(4x21xtle) 60 16 (8x2TIOx13) X- intercept: Domain Y-intenept Vertical Asymptote Sant Asymptote Honzontal Asymptote: 10 10

Q: Find the local maximum of f(x) = -sin2x – x defined on 2'2

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Q: determine the value of "a" so that f(x) (image) have the line y=x+5 as an asymptote

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Q: 4) lim 2Sinx – /3 = ? 2л - 3х 3

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Q: A rectangular sheet of metal 360mm by 240mm has four equal squares cut out at the corners. The sides…

A: Volume of the rectangular box= (Length)*(Breadth)*(Height)

Q: Find local maximum or local minimum of f(x)= -sin 2x -x defined on 22

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Q: Find the points of discontinuity of the function f(x)=arctan1x if they exist.

A: The given function is not defined at x = 0. Now the left hand limit at x = 0 is, And the right hand…

Q: Find the maximum value of f(x) = 6x +1 - x on the horizontal span of 0 to 6. (Round your answer to…

A: Just use second derivative test.

Q: Find the derivative of the function by the limit process. f(x) = x² + x - 5 f'(x) =| 4x – 8

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Q: Find the absolute maximum value of y=sqrt(16-x2) on the interval [-6,6]

A: y=16-x2         -6,6y=16-x212ddxy=1216-x212-1.0-2xdydx=12-2x16-x212dydx=-xx116-x2Now , dydx=0…

Q: 1. Determine where f(x) = arcsin (x² – 2x) is increasing. %3D

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Q: Use the alternate definition, lim Ax)-Aa) to determine the instantaneous rate of X- a change of Ax)…

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Q: aresin (2x-1) = 1-x 2 arctan

A: Substitute x = cos^2(theta) and simplify the equation.

Q: Determine intervals of convexity and inflection points of the function: f(x) = 2 * arctanx + In(1 +…

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Q: differentiate the follouwing 243 a) f(x)=2x°-in/x|+3 arccos (X)

A: Since you have asked multiple questions in the same request, as per the policy, only the first…

Q: When does f(x) = ln(x + sin2x), 0 < x < 2π have a local minimum?

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Q: An object hangs from a string in a stable position and is represented by the function y = 4 sin (3x)…

A: NOTE:Use the form y= asin(bx−c)+d to find the variables used to find the amplitude, period, phase…

Q: Find an equation of the tangent line to the graph of the function at a given point. Do not use the…

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Q: Use secant method to estimate a root for function f(x)= x3 + 2.7x+ 2.6 = 0, starting for interval…

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Q: Use a table of values to estimate the value of the limit. If you have a graphing device, use it to…

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Q: In order to graph y = 3 cotx, an interval 2 containing one period is found by solving 0 < x< T. An…

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Q: Find local maximum or local minimum of f(x) = - sin 2x -x defined on 2'2

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Q: What is the isogonal trajectories family of curves x² - y² = a which intersects at an angle of ∅ =…

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Q: For the function f(x) = 2x4 - 16x2 , find and identify any extrema (maximum/minimum) using the…

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Q: Q.5 (a) Find radius and height of right circular cylinder of largest volume that can be inscribed in…

A: (a) First draw the figure,   Let r, h, V be the radius of base, height and volume of the cylinder…

Q: Standing on a vast flat plain, an archer shoots an arrow into the air, at a speed of 50 ft/sec, and…

A: First draw the diagram . Then use the. Formula as v=u+at   Then find the time period .. Then  use…

Q: Vhat is the largest output value of the function z = 2x + 2y that can be obtained by plugging in…

A: In this question, the value of the function is checked at the corner point. The maximum value of the…

Q: What is the length of the arc y = (x6/6) + (1/16x4) on the interval [1,2]?

A: Given, function and interval

Q: Give the formula for a function which has vertical asymptotes at x=7 and x = -6 but is otherwise…

A: A function has vertical asymptotes at x=7 and x=-6 but is otherwise continuous.

Q: find of the inflection neacity point of ) where is 814 Also explain it gomdhically cometicall

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Q: Find the value of xg in 3 decimal places (positive root) using Secant Method (8th Iteration) f(x)…

A: Let's find.

Q: Explain why functions with cusps are not differentiable even though they are continuous.

A: Derivative is a slope, defined by a limit.   In order for a derivative to exist, it needs to be…

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

Q: Evaluate exactly lim(1 + sinx)2cot: x→0

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Q: Find a formula for a function that has vertical asymptotes x = 3 and x = 9 and horizontal asymptote…

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Q: Which of the following functions has a horizontal asymptote at y =-?

A: Here, the objective is to find the horizontal asymptote of the function.

Q: What are the asymptotes for tangent, contingent, secant and cosecant?

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Q: Graph the function y =x + 1                                      x2+1 by applying the first and…

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Q: Find all possible oblique asymptotes . y = x+x sin(1/x)

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Q: Find a formula for a function that has vertical asymptotes x = 6 and x = 8 and horizontal asymptote…

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Q: What is the equation of the vertical asymptote of f(x) = tan x where 0 < x < n

A: First draw the graph and get the vertical asymptot.

Q: Explain Why functions with cusps are not differentiable even though they are continuous.

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Q: Find the limits. If you use L'Hopitals Rule, make sure to justify why you can use it. 1- cos(2r) lim

A: To find the limit- limx→01-cos(2x)x2

Q: Q/Calculate limit statement lim sinx-cost XT 4 1-4

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Q: Determine whether f(x) approaches ∞ or –∞ as x approaches 2 from the left and from the right. TX…

A: Given function is : fx=secπx4 From graph its clear that as limit x→2- the value of fx→+∞   Thus ,…

Q: Use the second derivative test to locate all local extrema for the function f(x)=x3−32x2−18x. At…

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Q: Using Secant method, the approximation of the root of the function f(x) = xe*-x - 1 %3D accurate to…

A: The given function is f(x)=xex-x-1 And x0=0.7   &amp;  x1=0.76

Q: show that the function has neither an absolute minimumnor an absolute maximum on its natural domain.…

A: y=2x-sin2x The domain of given function is -∞, ∞. The range of sin2x is -1, 1.

Q: List all the vertical asymptote(s) for the function y=tanx for 0≤x≤2л

A: Application of Calculus.