Suppose that Newton's method is used to find the point on the graph of y =...
Can someone help me? I am not very familiar with the Newton method. The figure shows the graph of a function f. Suppose that Newton's method is used to approximate the root s of the equation f(x)- 0 with initial approximationx-6. 이 (a) Draw the tangent lines that are used to find x2 and x3, and estimate the numerical values of x2 and x3. (Round your answers to one decimal place.) x2 = x3 = The figure shows the graph...
O and the initial approximation is X1 2, find the second Suppose the line y = 2x – 1 is tangent to the curve y = f(x) when x = 2. If Newton's method is used to locate a root of the equation f(x) approximation x2: X2 =
2. The Good, the Bad, and the Ugly Initial Approximations The x-intercept of x) 6r-28r+16r 2 is shown in the graph below a) Find and simplify the formula from Newton's Method for calculating b) Use the formula you found above and the initial approximation -0.4 to approximate the value of the x-intercept, correct to five decimal places c) Repeat using the initial approximation x-05. What happens? d) Repeat using the initial approximation x-0.6. What happens? Other Applications of Newton's Method...
Find the equation of the tangent line to the graph y=x√ at x=4. y = On graph paper, sketch the graph and the tangent line using the x-values 3.5,4,4.5. The tangent line provides a linear approximation to x√ near x=4. Use this approximation to find approximate values for 4.5‾‾‾√ and 5√
(1 point) The graph of the equation 2? + ry + y2 = 3 is an ellipse lying obliquely in the plane, as illustrated in the figure below. a. Computer aligne = (-2x+y)(x+2y) . . b. The ellipse has two horizontal tangents. Find an equation of the upper one. The upper horizontal tangent line is defined by the equation y= c. The ellipse has two vertical tangents. Find an equation of the rightmost one. The rightmost vertical tangent line is...
Find an equation of the tangent line to the graph of the function at the given point. 1 s(x) = x² - 2x + 16' (2, 1) y = Use a graphing utility to graph the function and the tangent line in the same viewing window. y y 1.0 1.04 0.5 0.5 10 5 10 -0.51 -0.5
Consider the parabola y = 7x - x2. Find the slope m of the tangent line to the parabola at the point (1, 6). using this definition: The tangent line to the curve y = f(x) at the point P(a, f(a)) is the line through P with slope m=lim x rightarrow a f(x)-f(a)/x-a provided that this limit exists. m = using this equation: m=lim h rightarrow 0 f(a+h)-f(a)/h m= Find an equation of the tangent line in part (a). y...
consider the curve described by the equation: 4x2 - 3xy + y2 = 14 at any given point on this curve, we have dy/dx = -8x + 3y / -3x + 2y your task is to find the points on the curve where the tangent line is parallel to the line y = x What is the y-coordinate of the leftmost point on the curve where the tangent line is parallel to the lone y=x
plz answer A graphing calculator is recommended. Use Newton's method to find all solutions of the equation correct to eight decimal places. Start by drawing a graph to find initial approximations. (Enter your answers as a comma-separated list.) -2x7 - 4x4 + 9x3 + 5 = 0 X =
plz answer A graphing calculator is recommended. Use Newton's method to find all solutions of the equation correct to eight decimal places. Start by drawing a graph to find initial approximations. (Enter your answers as a comma-separated list.) - 2x7 - 4x4 + 8x3 + 3 = 0 X