Use linear approximation, i.e. the tangent line, to approximate 5.855 as follows: Let f(x) = x°. The equation of the tangent line to f(x) at æ = 6 can be written in the form y = mx + b where: %3D m = and

Q: If the tangent line to the function   f(x)=(√x  )+a                     at x=4 has equation…

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Q: Use linear approximation, i.e. the tangent line, to approximate 5.85° as follows: Let f(x) = x°. The…

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Q: Given f(x) =x(4/x), find its tangent line at (1,1).

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Q: Find the equation of the tangent line of the given funtion at the indicated value of x.…

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Q: 2. Find the slope of the tangent line to rJī+ yJF = 10 at (1,8).

A: We use implicit differentiation with product rule

Q: Use linear approximationn to approximate /81.1 as follows: Let f(x) = Vx. Find the equation of the…

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Q: If f(x) = 3x? - x', find f'(1) and use it to find an equa- tion of the tangent line to the curve y =…

A: f(x)= 3x2-1f'(x)=3 (2x)-0        = 6xf'(1)=6 (1 )= 6

Q: Use linear approximation, i.e. the tangent line, to approximate 64.4 as follows: Let f(x) = V. The…

A: Given: The number in exact form 64.43, To find: Approximate form of number using linear…

Q: Use linear approximation, i.e. the tangent line, to approximate 2.7^6 as follows: Let f(x)=x^6. The…

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Q: ind the equation of the tangent line to the graph of f(x)= 3e* +1 where x, = In 2.

A: Slope of tangent line is (m) given by derivative of curve at given point. Let the curve be f(x) and…

Q: Find the slope of the tangent line to the curve below at the point (4, 7). 2x + 3y + /2xy =…

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Q: Find the slope of the tangent line to the curve below at the point (3, 5). 4x + 4y + 3ry =…

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Q: d. To simplify calculations, a student uses a tangent line approximation to P(t) at 1=0 as a model…

A: (d)

Q: find the value of tangent LA. C 12

A: we know that tangent A =tan Afrom ∆ABCtan A=BCAC

Q: written

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Q: The tangent line to the graph of y = In(2x) is perpendicular to x + 4y = 1 at the point where…

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Q: Folium of Descartes: x3 + y3- 6xy 0

A: It can be done by doing differentiating both sides with respect to x.

Q: Given x = y1/y , find its tangent line at (1, 1)

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Q: Use linear approximation, i.e. the tangent line, to approximate 2.8' as follows: Let f(x) = x". The…

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Q: Use linear approximation, i.e. the tangent line, to approximate 3.9³ as follows: Let f(x) = x³. The…

A: We have to approximate 3.93 using linear approximation, i.e. the tangent line. Given fx=x3. The…

Q: The equation of the tangent line to Y f(x) at a can be written in the form y 3 = mx + 6 where m =…

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

Q: Find the point-slope equation for the tangent line to the following functions at the given points:…

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Q: Given that f(10)=10 and f′(10)=4, find an equation for the tangent line to the graph of y=f(x) at…

A: topic - equation of a tangent line

Q: The tangent line to the graph of y = In(2x) is perpendicular to x + 4y = 1 at the point where…

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Q: Use linear approximation, i.e. the tangent line, to approximate √49.1 as follows: Let f(x)=√x. Find…

A: Please refer to the image below

Q: Find the slope of the tangent line to the graph of yx = xy at each of the following points.    (i)…

A: The given equation is, yx=xy   Take natural log on both sides. lnyx=lnxyxlny=ylnx   Differentiate…

Q: 140 W

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Q: ind the tangent line for the following 3. x3 + y3 – 6xy = 1 at (2, 3) 4. (x² + y²)? = 4x²y at (1, 1)

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Q: Use the tangent line approximation to approximate the quantity below. -2 In(1.03) + 4

A: Given -2ln(1.03)+4  Let the equation be  f(x)=-2ln(x)+4 Differentiate with respect to x  f'(x)=-2/x…

Q: Use linear approximation, i.e. the tangent line, to approximate 8.42 as follows: Let f(x) = x² and…

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Q: Use linear approximation to approximate √36.3 as follows Let ?(?) = √x. The equation of the tangent…

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Q: Use linear approximation, i.e. the tangent line, to approximate 1.9² as follows: Let f(x) = x². The…

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Q: Given that the graph of f(x) passes through the point (5, 8) and that the slope of its tangent line…

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Q: Given that f(−6)=−6 and f′(−6)=−6, find an equation for the tangent line to the graph of y=f(x) at…

A: We know that slope of tangent line to the graph of y=f(x) at x=a is f'(a) Therefore, slope of…

Q: Find the slope of the tangent line to the graph at the given point. x3 + y3 - 6xy = 0, (4/3, 8/3)…

A: Given x3+y3-6xy=0 We have to find slope of tangent line at 43,83

Q: Use linear approximation, i.e. the tangent line, to approximate 8.4 as follows: Let f(x)= V. The…

A: slope at a point is given by its derivative at that point.Equation of line can be found by slope and…

Q: Use linear approximation, i.e. the tangent line, to approximate 27.1 as follows: Let f(x)=x. The…

A: Our Aim is to find the approximation for 27.13 using linear approximationgiven that f(x)=x3.

Q: Given f(x) = 6xeª csc(x), answer the following: a) f'(x) = b) The equation of the tangent line to…

A: fx=6xexcscx a). Differentiating with respect to x, we get…

Q: Use linear approximation, i.e. the tangent line, to approximate 27.1 as follows: Let f(x)=√x. The…

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Q: If the tangent line to the function f(x) = /ã + a at x = 9 has equation y = mx + 3, find a and m. a…

A: In this question we have to find the value of a and m.m

Q: For what values of x is the tangent line of the graph of f(x) = 6x + 18x? – 144x – 36 parallel to…

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Q: Use linear approximation, i.e. the tangent line, to approximate v81.1 as follows: Let f(x) = Vx.…

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Q: Find the equation of the tangent line to the graph of y=(x² – 2)* at x=2. Write your final answer in…

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Q: Consider the function y = f (x) = x² + 17x + 72 and the x-value xo = 2 (a) Find a formula for the…

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Q: ) Given that f(8) = 5 and f'(8) = 7 , find an equation for the tangent line to the graph of y = f(x)…

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Q: Given that the graph of f(x) passes through the point (6, 10) and that the slope of its tangent line…

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Q: Which of the following is the slope of the tangent line to f(x) = cos(ax), a E R at x = T? 1 а 1 а

A: Given equation is f(x)=cos(ax) at x=π Find the slope of the tangent line

Q: Use linear approximation, i.e. the tangent line, to approximate 5.85° as follows: Let f(x) = x°. The…

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Q: Use linear approximation, i.e. the tangent line, to approximate 2.86³ as follows: Let f(æ) = x³. The…

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Q: Eind the tangent line to m(x) = 16-X at x=2

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: