Find the tangent line approximation 7 to the graph of f at the given point. Then complete the table. (Round your answers to four decimal places.)f(x) = csc(x), (6, csc 6)T(x) =||5.95.9966.016.1Xf(x)T(x)X미ㄷ15n!FunctionsSymbolsRelationsSetsVectorsTrigGreek→ Help

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Answered: Find the tangent line approximation to…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter58: Achievement Review—section Five

Section: Chapter Questions

Problem 30AR: Determine dimension x to 3 decimal places.

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Similar questions

What is the purpose of the Intermediate Value Theorem?
Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it continues on its course indefinitely. Let D(t) denote its distance from Earth after t years of travel. Do you expect that D has a limiting value?
Determine dimension x to 3 decimal places.
a. Find the function f given that the slope of the tangent line to the graph of f at any point (x,f(x)) is xe-2x and that the graph passes through the point (0,3). b. In keeping with the projected increase in worldwide demand for steam coal, the boilerfiring fuel used for generating electricity, the management of Consolidated Mining has decided to step up its mining operations. Plans call for increasing the yearly production of steam coal over its current level by: 2te-0.05t million metric tons/year for the next 20 years. The current yearly production is 20 million metric tons. Find a function that describes Consolidated’s total production of steam coal at the end of t years. How much coal will Consolidated have produced over the next 20 years if this plan is carried out?
Use linear approximation, i.e. the tangent line, to approximate 1/0.202 as follows: Let f(x)=1/x and find the equation of the tangent line to f(x) at a "nice" point near 0.202. Then use this to approximate 1/0.202
find a linearization at a suitably chosen integer neara at which the given function and its derivative are easy to evaluate. ƒ(x) = sin-1 x, a = π/12
Use linear approximation, i.e. the tangent line, to approximate 1/1.004 as follows: Let f(x) = 1/x and find the equation of the tangent line to f(x) at a "nice" point near 1.004. Then use this to approximate 1/1.004??
Use Richardson extrapolation to find an improved estimate for the first derivative of y = cos x at x =π/4 using step sizes of h1 = π/3 and h2 = π/6. Employ centered differences of O(h2) for the initial estimates. Discuss from your results the effect of using Richardson extrapolation on the error of using centered differences.
Find the differential eqn. of the ff. family of curves: a.) Straight lines with slope half the value of the x-intercept b.) Circles with center on the y-axis c.) Circles with center on the line y = x, and passing through the origin
Find the slope of the tangent line to the curve y=1+1x at x =2. Do not use the derivative but rather the slope of the secant line through the points (2,f(2)) and (2+h,f(2+h)), then take the limit as h→0. Sketch the graph of the curve, the secant line, and the tangent line on the same coordinate system.
As a particle moves through the first quadrant, itsxandycoordinates are functions oftimet, and its polar coordinateθis also a function of timet.(in function notation:x(t),y(t), andθ(t) ) Given the relationtanθ=yxtake the derivative of both sides of the equation with respect totto obtain a related ratesequation.
a. Find the derivative of f(x) = x2 - 5x at x. That is, find f′(x). b. Find the slope of the tangent line to the graph of f(x) = x2 - 5x at x = -1 and at x = 3.

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Find the tangent line approximation to the graph off at the given point. Then complete the table. (Round your answers to four decimal places.) f(x) csc(x), (6, csc 6) T(X) -1 5.9 5.99 6 6.01 6.1 X f(x) T(x)