Use linear approximation, i.e. the tangent line, to approximate 64.4 as follows: Let f(x) = V. The equation of the tangent line to f(r) at r = 64 can be written in the form y = mx + b where m is: and where b is: Using this, we find our approximation for 64.4 is

Q: Use linear approximation, i.e. the tangent line, to approximate 1.8 to the 4th powet as follows: Let…

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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: Given that the graph of f(x) passes through the point (8, 10) and that the slope of its tangent line…

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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: Find the equations of the tangent line in the given plane. Given: v = (3t - x)e-2t

A: Given function - v = 3t-xe-2tWe need to find ∂2v∂t∂x,Concept - We need to partially differentiate v…

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

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Q: In z The tangent line to the graph of y is perpendicular to the line = 7 at the point where

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Q: Find the equation of the tangent line at the point 0, In 3 3 for f(x)=In 3 e²x² 2e +e²x

A: Topic:- application of derivatives

Q: The product of all the values of x for which the tangent lines to the graph of y= are parallel to…

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Q: If the tangent line to y = f(x) at (5, 2) passes through the point (0, 1), find f(5) and f'(5). f(5)…

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Q: Use linear approximation, i.e. the tangent line, to approximate 5.855 as follows: Let f(x) = x°. The…

A: Please rate and feel free to ask any query.

Q: Given that the graph of f(x)f(x) passes through the point (5,10)(5,10) and that the slope of its…

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Q: Use linear approximation, i.e. the tangent line, to approximate 3.6^7 as follows: Let f(x)=x^7. The…

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Q: Given that the graph of f(x) passes through the point (8, 2) and that the slope of its tangent line…

A: Slope of a function is the first derivative for the function f(x).So integrate the value of slope to…

Q: Given that the graph of f(x) passes through the point (5, 2) and that the slope of its tangent line…

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Q: Find the equation of the tangent line at (1, Tt) of 6x²y– ncos(y) = 71

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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: Use part I of the Fundamental Theorem of Calculus to find each derivative, given the following f(x):…

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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: Given that the graph of f(x) passes through the point (7, 6) and that the slope of its tangent line…

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Q: Given that the graph of f(x) passes through the point (5, 2) and that the slope of its tangent line…

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

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Q: Show that an equation of the tangent line to the graph of = 2 at the point (a, b) is given by a b.…

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Q: Given that the graph of f(x) passes through the point (4, 9) and that the slope of its tangent line…

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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: If the tangent line to y = f(x) at (4, 2) passes through the point (0, 1), find f(4) and f'(4). f(4)…

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

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

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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: Find all values of xx such that the tangent line to the graph of y=4x^2−7x+2 is steeper than the…

A: To determine the interval where the tangent line to curve  y=4x^2−7x+2 is steeper than the tangent…

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: If the tangent line to y = f(x) at (6, 5) passes through the point (0, 4), find f(6) and f'(6). f(6)…

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Q: If the tangent line to y = f(x) at (3, 2) passes through the point (0, 1), find (3) and r(3). (3) =…

A: In this question, we need to find f(3) and f'(3).

Q: Find an equation of the tangent line for the following functions at the given points x-2 a. y= at a…

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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: Given that the graph of f(x) passes through the point (4, 2) and that the slope of its tangent line…

A: Recall: The slope of the tangent line to the curve f(x) is f'(x).

Q: Given that the graph of f(x) passes through the point (8,9) and that the slope of its tangent line…

A: Given the slope of the tangent line of graph of y=f(x) at (x,f(x)) is 6x + 2, so dydx=6x+2 Now solve…

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: Determine the equation of the tangent line to x+1 22+1 at x = X= G

A: Given equation, y=x+1x2+1

Q: Use linear approximation, i.e. the tangent line, to approximate √16.4 as follows: Let f(x)=√x. Find…

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Q: Given that the graph of J (X) passes through the point and that the slope of its tangent line at +…

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Q: If the tangent line to y = f(x) at (6, 7) passes through the point (0, 5), find f(6) and f'(6)

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Q: Use linear approximation, i.e. the tangent line, to approximate 27.3 as follows: Let f(x) = Va. The…

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Q: Find an equation for the tangent line to the following curve, h(x) = 16x – 2 In x at the point where…

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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: The derivative of Q with respect to r for: Q=In (r+1)' is: 2)

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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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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: