a) Write the equation of the line that represents the linear approximation to the function f(x) = sec x at x = n/4. b) Use the linear approximation to estimate sec 50°. c) Compute the percent error in your approximation: Japproximation – exact| 100% |exact| where the exact value is given by a calculator.

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A: Given equation is Differentiating both sides with respect to x, we get.

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Q: b. If B(x) = /g(x), what is the equation of the tangent line drawn to B(x) when x = 1? %3D

A: b) if B(x)=g(x)we have to find the equation of tangent line drawn to B(x) when x=1   differentiate…

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A: We have to find t

Q: FIND THE LENGTH OF THE CURVE y = In sec X from X = 0 to X = - 4

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Q: Given: tan-1(e0.13-0.8) Get the local linear approximation to estimate the value of the given

A: According to question given that tan-1e0.13-0.8

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A: derivative

Q: Give estimates, using linear approximation, for v9.2 and sin ( +0.02).

A: 9.2 Now let, fx=x,  x=9  &  ∆x=0.2 Differentiating with respect to x, we get f'x=12x Now,…

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Q: a) Find an equation of the tangent line: x' +y' + 9xy = 27 at (x, y) = (1, 2)

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Q: 1) Given the curve 2x? + y3 = x3 + y? find the x-intercept of the tangent line at the point (2,1)

A: We find dy/dx using the implicit differentiation and we plug x=2 and y=1

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Q: b) Show that the equation of the tangent line to the x², y? Xox at (xo, Yo) is Yo.y + a² ellipse 31.…

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A:

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A: Given figure is  where suppose that the coordinate of point P is P=a,b

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A: 5x2y-πcosy=6π=ddx(5x2y-πcosy)=ddx(6π)=10xy+5x2y'+πy'siny=0=(5x2+πsiny)y'=-10xy y'=-10xy5x2+πsiny…

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A: Given Data: Function: fx=6sinx6sinx+4cosx   Differentiate the function with respect x is,…

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A:

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A: Here we have to find the slope of the tangent line.

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Q: Given that x² + y? = (2x² + 2y² – x²)? Find an equation of tangent line to the curve at point (0,…

A: The formula to differentiate the product of two functions, f(x) and g(x) with a common variable is…

Q: Let f(x)= sec(x), find the linear approximation at x= pi/4 and use it to estimate sec(pi/5)

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Q: Find the slope of the line tangent to y = 3x(cos x) at (7/2, 7/2). A) -3/2 B) 3x/2 C) /2 D) -x/2

A: Consider the function  y=3x(cosx) Point : π2,π2

Q: 1.) Given 4x?– y? = 36, find its tangent line equation that must be perpendicular to the line…

A: Given:- curve :- 4x2-y2=36 Line:- 5x-2y-4=0 To find:- Given 4x² - y² = 36, find its tangent line…

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Q: What is the equation of the line tangent to the curve e+ cos(x) =1 at the point .0)? A y=0 B y=x -…

A: Explained below

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