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- 19-While calculating the approximate solutions of the equation f (x) = 0 using the initial value of x using the Newton-Raphson method, which of the following is taken as the solution? a) The point where the normal of the function graph at x0 intersects the x-axis. B) The point where the tangent of the function graph at x0 intersects the y-axis. NS) The point where the tangent of the function graph at x0 intersects the x-axis. D) The point where the normal of the function graph at x0 intersects the y-axis. TO) The point of the function graph where the line connecting the point f(x0) to the origin intersects the x-axis.In an effort to make the distribution of income more nearly equal, the government of a country passes a tax law that changes the Lorenz curve from y = 0.98x2.1for one year to y = 0.32x2 + 0.68x for the next year. Find the Gini coefficient of income for both years. (Round your answers to three decimal places.) after beforePlot f (x) = ln x − 5 sin x on [0.1, 2] and approximate both the critical points and the extreme values.
- A) for beta less than 1 B) for beta great than or equal 1 C) for beta less than or equal 1 D) for beta great than 1 E) for beta less equal 0 Please explaindf between = df within = F Critical = SS Between = SS within = MS between = MS within = F = R^2= Fail to reject the null or reject the null hypothesis?A hand-held calculator will suffice for the Problem. The problem an initial value problem and its exact solution are given. Approximate the values of x(0.2) and y(0.2)in three ways: (a) by the Euler method with two steps of size h = 0.1; (b) by the improved Euler method with a single step of size h = 0.2; and (c) by the Runge–Kutta method with a single step of size h = 0.2. Compare the approximate values with the actual values x(0.2) and y(0.2). x' = 2x - 5y, x(0) = 2, y' = 4x - 2y, y(0) = 3; x(t) = 2cos 4t -11/4 sin 4t, y(t) = 3cos 4t + 1/2sin 4t
- A hand-held calculator will suffice for the Problem. The problem an initial value problem and its exact solution are given. Approximate the values of x(0.2) and y(0.2)in three ways: (a) by the Euler method with two steps of size h = 0.1; (b) by the improved Euler method with a single step of size h = 0.2; and (c) by the Runge–Kutta method with a single step of size h = 0.2. Compare the approximate values with the actual values x(0.2) and y(0.2). x' = x + 2y, x(0) = 0,y' = 2x + y, y(0) = 2;x(t) = e3t - e-t , y(t) = e3t + e-tA hand-held calculator will suffice for the Problem. The problem an initial value problem and its exact solution are given. Approximate the values of x(0.2) and y(0.2)in three ways: (a) by the Euler method with two steps of size h = 0.1; (b) by the improved Euler method with a single step of size h = 0.2; and (c) by the Runge–Kutta method with a single step of size h = 0.2. Compare the approximate values with the actual values x(0.2) and y(0.2). x' = 3x + 4y, x(0) = 1, y' = 3x + 2y, y(0) = 1; x(t) = 1/7 (8e6t - e-t), y(t) =1/7(6e6t + e-t)A hand-held calculator will suffice for the Problem. The problem an initial value problem and its exact solution are given. Approximate the values of x(0.2) and y(0.2)in three ways: (a) by the Euler method with two steps of size h = 0.1; (b) by the improved Euler method with a single step of size h = 0.2; and (c) by the Runge–Kutta method with a single step of size h = 0.2. Compare the approximate values with the actual values x(0.2) and y(0.2). x' = x -2y, x(0) = 0, y' = 2x + y, y(0) = 4; x(t) = -4et sin 2t, y(t) = 4et cos 2t
- A hand-held calculator will suffice for the Problem. The problem an initial value problem and its exact solution are given. Approximate the values of x(0.2) and y(0.2)in three ways: (a) by the Euler method with two steps of size h = 0.1; (b) by the improved Euler method with a single step of size h = 0.2; and (c) by the Runge–Kutta method with a single step of size h = 0.2. Compare the approximate values with the actual values x(0.2) and y(0.2). x' = 5x - 9y, x(0) = 0, y' = 2x - y, y(0) = -1; x(t) = 3e2t sin 3t, y(t) = e2t(sin 3t - cos 3t)A hand-held calculator will suffice for the Problem. The problem an initial value problem and its exact solution are given. Approximate the values of x(0.2) and y(0.2)in three ways: (a) by the Euler method with two steps of size h = 0.1; (b) by the improved Euler method with a single step of size h = 0.2; and (c) by the Runge–Kutta method with a single step of size h = 0.2. Compare the approximate values with the actual values x(0.2) and y(0.2). x' = 3x - y, x(0) = 2, y' = x + y, y(0) = 1; x(t) = (t+2) e2t, y(t) = (t+1) e2tA hand-held calculator will suffice for the Problem. The problem an initial value problem and its exact solution are given. Approximate the values of x(0.2) and y(0.2)in three ways: (a) by the Euler method with two steps of size h = 0.1; (b) by the improved Euler method with a single step of size h = 0.2; and (c) by the Runge–Kutta method with a single step of size h = 0.2. Compare the approximate values with the actual values x(0.2) and y(0.2). x' = 9x + 5y, x(0) = 1, y' = -6x - 2y, y(0) = 0; x(t) = -5e3t + 6e4t, y(t) = 6e3t + 6e4t