Use tangent line approximation to estimate 2390 (to seven decimal places), recognizing that 7* = 2401. Show all your work.

Q: What is the slope of the the tangent line to y=1/x^5+−1/x^3 at x=1?

A: Given y=1x5+-1x3 and x=1

Q: Use Newton method to calculate correct to three decimal points.

A: Let us take f(x) = 7, then x2 = 7, x2-7=0 f'(x) = 2x x 0 1 2 3 f(x) -7 -6 -3 2 So the root…

Q: 8. Informally explain how the length of a curve defined by a function be computed with an integral.

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Q: Find the most general anti-derivative or indefinite integral and check the answer by differentiation…

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Q: Explain how limits arise when finding the instantaneous rate of change of afunction or the tangent…

A: The average rate of change of f(x) with respect to x as x changes from…

Q: Use a tangent line approximation to estimate the value of V9.2. Enter the answer in the box. Round…

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Q: find the slope of the tangent line to the graph of flx)= 2x at (5,3).

A: NOTE: Refresh your page if you can't see any equations. . to find the slope of the line, take the…

Q: as y y = f(x) (10, 4) Tangent line (4, 2) ive your answer to three decimal places.)

A: G

Q: Use differential to estimate the value of 124 and give your answer correct to 3 decimal places.

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Q: Estimate the slope of the tangent line at the point x = 3, for f(x) = In(x). (Use decimal notation.…

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Q: What is the slope of the tangent line to y = 4x at x = 0?

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Q: The slope of the tangent line y = esec²x at ( 0 , e) is

A: The given curve is  y = exp(sec2x) GGiven point is (0, e)

Q: How do you use a Maclaurin serieis aproximation to estimate (Provided picture). Thanks!

A: First find the Maclaurin series for e^(x^2) using the Maclaurin series of e^xPlug x^2 in place of x.

Q: Use linear approximation to approximate the value of In(20) without the need for a calculator. Up to…

A: Given:      Linear approximation of ln (20)

Q: Use differentials to estimate the amount of tin in a closed tin can with diameter 8 cmand height 12…

A: Given : Diameter of tin = 8 cm. Height of tin = 12 cm. Thickness of tin = 0.04 cm.   To estimate…

Q: 2. Use local linear approximation to estimate (31.62). Th

A: Given- (31.62)45 To use local linear approximation to estimate (31.62)45. Linear approximation is…

Q: The accompanying table shows the velocity of a model train engine moving along a track for 10…

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Q: Find the slope of the tangent line to y=3x at x=0.   Show all work please

A: The given equation is y = 3x.Differentiate with respect to x on both sides,(dy/dx) = 3x ln(3).

Q: find the sLope Of a tangent line hCx) = x +44 iz

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Q: The tangent lines to the graph of f(x) =x² grow steeper as x in- creases. At what rate do the slopes…

A: Given function is, f(x)=x2

Q: Estimate the slope of the tangent line at the point indicated f(x) = ex :   x=0

A: Find out the slope of the tangent line at the point indicated f(x)=ex : x=0. Slope of the tangent is…

Q: Find the equation of the tangent line to the graph of f(x) = sin (- -) at the point x = 1. 6

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Q: Locate the point where the slope of tangent line to y=In 2x2 IS-1- O (-1, In 2) O (-2, In 8) 3 In 4…

A: Given; y= ln 2x2.

Q: (Use Simpson's Rule with n=4 to approximate 5x* dx

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Q: Find the slope of the tangent line drawn to the graph of −4x^2−xy+3y^3=−200 at the point (−1,−4).…

A: Given function is : -4x2-xy+3y3=-200 To find out slope of tangent dydx at -1,-4 Differentiating…

Q: Use Simpson's Rule with n = 4 to approximate 5x* dx.

A: The solution is given as

Q: se Newton's Method to approximate 76 correct to six decimal places.

A: Given: 764 Formula used: xn+1=xn-fxnf'xn

Q: Use a tangent line approximation to estimate the value of V3.9 O 2 O 1.998 O 1.975 O 1.95

A: Known fact: The tangent line approximation formula is fx+∆x≈fx+f'x ∆x. Given that 3.9. Consider the…

Q: Use Newton’s Method to estimate 3√25 to four decimal places.

A: We have to find: So we consider a function We know that: 27 is close to 25, so cuberoot(25) will…

Q: Find the slope of the tangent line to the graph at the given point. 4xcosy +1 = 5 at the point (2,)

A: Solve, as follows: 4xcosy+1=541cosy+x-sinydydx=0dydx=cosyxsiny

Q: The measurment of the radius of the end of a log is found to be 28 inches, with a possible error of…

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Q: f'(x) at x if f(x) = csc³(x).

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Q: Estimate the slope of the tangent line at the point indicated.

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Q: .Find an equation for the curve that passes through the labeled int.

A: We are aske dto find the equation of the curve.

Q: Use Trapezoidal rule with 5 subintervals and 8 subintervals to find an approximation of x3V-2x4 +…

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Q: Find the point in the first quadrant where the line y=2x intersects a circle of radius 3 centered at…

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Q: Find the equation of the tangent line on 3xe™v² - ez 2ye at (1,1)

A: Given  3xexy2-ex3=2yex2first we find dydx at point (1,1)

Q: Approximate the sol of x = sinx upto 4 decimal places by using Newtons method.

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Q: Estimate the value of V83251.69 in three decimal places by linear approximation.

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

Q: Find the points on the graph of f where the tangent line is horizontal. f(x) = x3 - 18x2 (x, y) = (…

A: As we know that the slope of the tangent on a graph represents by f '(x) and it is parallel to the…

Q: Use a linear approximation to estimate /26. 26 Your answer should be rounded to four decimal places…

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Q: Use a tangent line approximation to estimate the value of /4.2. Enter the answer in the box. Round…

A: Consider the given function 4.2

Q: 3 Find approximation a5 costect to an three decimal places.

A: We approximate the value by using differential. The answer is given as follows

Q: FIND THE SLOPE OF THE TANGENT LINE TO THE GRAPH OF THE FUNCTION f(x) = 5- x2 AT (3,–4). %3D

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Q: Find the tangent line approximation for /13+x near x = 0. %3D NOTE: Enter exact values, or round…

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Q: Use a tangent line approximation to estimate the value of /9.2. Enter the answer in the box. Round…

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Q: Find the instantaneous rate of change cope of the tangent line to 2 (3,-2) 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 13) Estimate tan(44°) using linear approximation.

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Q: Find all points on the curv of the tangent line is -1.

A: