Exercise2: Plot the following functions on the same graph for x values from -t to n, with selecting spacing 0.01: yl = sin (x) y2 = sin (2x) y3 = sin (3x)

Q: Q4: Find an equation for the line tangent to the curve 2y cos x = 4x sin y , at the point where x…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Q5: Find for the following functions: TTTTTT³ : (2) y tan³√cot(7x) : = (4) y = x sinh 2x-cosh 2x (3)…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Function y = y(x) is given implicitly by x2y + y4 + sin(1 - y) = 4 + 2x (i) Find y′. (ii) Find y…

A: The given function is x2y+y4+sin(1-y)=4+2x. We have to find: y' y'' at P(-1,1) The product rule of…

Q: Find for implicit function dx x² sin y + 3y3 = e5æ + 5

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Q: Find the length of the curve y = In sin x from t = -2 to t = 0.

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Q: Find an equation for the line tangent to the curve at the point defined by the given value of t 15)…

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: f(x) = sin(x2)                                       [0,4π]f'(x) = 12cos (x2)f"(x)  =-14sin…

Q: Use a computer algebra system to plot y2 = x 3 - 4x for x and y between -4 and 4. Show that if dx /…

A: y2=x3-4x

Q: express in the form y = f (x) by eliminating the parameter  x = cost, y = tan t

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Q: [8] Find y' of e'sinx=y/x

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Q: Q2-Use implicit differentiation to find y: a- tan xy = y b- tan?(y + 1) = 3sinx %3D

A: (a) Consider the given implicit function and use the chain rule to find the derivative.

Q: nd the equation of the tangent to the curve y = 2 sin x+ cos 2x at the point x= 7.

A: equation of line at point (a,b)  is given by    y-b = m (x-a)  Where m is the slope of tangent  As…

Q: B) Find for the Implicit function: dx x2 - sin(xy) + y² = 5xy

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Q: Assume that y = sin-1x is a differentiable function of x. By differentiating the equation x = sin y…

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Q: Find by implicit differentiation. 2+ 4.x = sin(ry²) dy Answer: dx

A: the given implicit function is: 2+4x=sinxy2

Q: Assume that y = sin-1 x is a differentiable function of x. By differentiating the equation x = sin y…

A: The given equation is

Q: Find the lengths of the curves x = ln (sec t + tan t) - sin ty = cos t, 0 ≤ t ≤ π/3

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Q: Find the deri vative. y= tanx sec x t CsC X

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Q: The derivative dy for the function %3D (1i) y= cot リーCof V-x

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Q: Q4: Find an equation for the line tangent to the curve 2y cos x = 4x sin y , at the point where x =…

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Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y =…

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Q: 1. b. Find the differentiation of the following functions: i. y = 2 tan(1 – 2x) + ex²+x -

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Q: find an equation for the line tangent to the curve at the point defined by the given value of t.…

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

Q: For the following functions, state the domain of y, find dy dx and its domain. 279. y=sin-¹(x²) 280.…

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Q: For the cardioid r  =1+ sin0 of Example 7, find the slope of the tangent line when  0=pi/ 3

A: Then plug this in the slope of the tangent formula

Q: Q:: Find for the following functions: - dx 1- y = tan/2\2x+ 7 (x²+x)(x²-x+1) 2- y =

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Q: The height of an arch above the ground is given by the function y = 11 sin x for 0sxSr. What is the…

A: This question can be solved by applying the formula of average height of an arch.

Q: For function y implicitly defined by the equation 3 cos(y) = x + 2y + 4, find its linear…

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Q: 1) Find the Linearization x of the function -V1+2x when x is near 0 Find the equation of the tangent…

A: As per Bartleby guideline if more than one question is asked only first question to be answered…

Q: 3n Find an equation of the tangent line to y = 7 sin(x) at x = .

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Q: Q3: Find lim,- (2 – sin –) إجابتك :Q4 For (3x³ – 5x) V2x+1 find dy/dx at x=0 إجابتك

A: Explanation of the solution is given below...

Q: Estimate s cose S cos(x) dx using the Trapezoidal Rule and the Midpoint Rule, each with n-4. (Round…

A: The trapezoid rule states the integral of a  function f(x)  over the interval [a,b] can  be…

Q: 1- find dy/dx as a function of x. y = sec (tan x)

A: As per bartleby guidelines for more than one questions asked only first should be answered. Please…

Q: Find the length of the curve  y = 4 ln(cos(x/4)) from x = pi/2 to pi

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Q: find an equation for the line tangent to the curve at the point defined by the given value of t.…

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Q: Q2- Find for the following functions :- dx 1- y = (Inx)/tnx 2- y = x cos-1 x - v1-x² +sin-1x

A: We have to find dydx for the following functions... 1. y=lnx1lnx2. y=xcos-1x-1-x2+sin-1x

Q: Find the slope of the tangent line to the path of a carnival ride x 7 cos() + sin(7t), y = 7 sin() +…

A: Given  x=7cos(t)+sin(7t) y=7sin(t)+cos(7t) We need to find the slope of tangent at t=0

Q: Use the trapezoidal rule withn= 4 to approximate cos(x) dx Keep at least 2 decimal places accuracy…

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Q: Find the maximum and minimum values of the function. (Round your answers to two decimal places.) y =…

A: Given query is to find the maximum and minimum value of the function for the interval.

Q: Find the smallest positive c for which (c,0) is an x-intercept for the function f(x) = tan(1.46x).…

A: The given function is: f(x)=tan(1.46x) To find the smallest positive c for which (c,0) is an…

Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x…

A: Product  Rule of differentiation: du.vdx = u.dvdx +dudx.v dcos(x)dx = -sin(x) dsin(x)dx = cos(x)…

Q: Given the function In (x +y)+ tan (2xy) y -3x4. Find dy using implicit differentiation. dx

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Q: Find the length of the curve y = ln (sin x), π/6 ≤ x ≤ π/2

A: Given y = ln (sin x), π6≤x≤π2

Q: At what value of x does the curve 1„2 sin y = 3y +x² + 4x have a horizontal tangent? (Supporting…

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Q: Find by implicit differentiation. dx xe = xY dy Submit Answer

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Q: Differentiate y = e® – x² arctan x.

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