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(a) Use MATLAB or Mathcad to
(b) Use MATLAB or Mathcad to determine the inflection points of this function.
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- 3. List the truth table of the function F = xy + xy' + y'zarrow_forwardFrom the following graph identify the steady-state maximum force. 1.2 1 0.8 0.6 0.4 0.2 0 Electical Power 1 Force vs. Time 2 Time (s) m 4 5arrow_forwardExample: Sketch the graphs of the following functions. 1. y=sin2x So w nY oy shrin ILYarrow_forward
- Convert the following 4th order ODE into a system of four first order ODES of the form dy/dt f(t,y). Remember to account for initial conditions in the system you create. 4y"'(t) – 8y"' (t) + 2y"(t) + 16y'(t) – 4y(t) = 20e2t y(0) = 3, y'(0) = 4, y"(0) = 7 and y"'(0) = = 13 2:36 PM 73°F Mostly cloudy 3/4/2022arrow_forwardFind a vector equation and parametric equations for the line segment that joins P to Q. P(3.5, −2.4, 2.1), Q(1.8, 0.3, 2.1) vector equationr(t)= parametric equations (x(t), y(t), z(t)) =arrow_forwardVerify if the following functions are Linear or not. Support your conclusion with appropriate reason. a) F(x) = b) f(x) =rcos wtarrow_forward
- An object attached to a spring undergoes simple harmonic motion modeled by the differential equation d²x = 0 where x (t) is the displacement of the mass (relative to equilibrium) at time t, m is the mass of the object, and k is the spring constant. A mass of 3 kilograms stretches the spring 0.2 meters. dt² Use this information to find the spring constant. (Use g = 9.8 meters/second²) m k = + kx The previous mass is detached from the spring and a mass of 17 kilograms is attached. This mass is displaced 0.45 meters below equilibrium and then launched with an initial velocity of 2 meters/second. Write the equation of motion in the form x(t) = c₁ cos(wt) + c₂ sin(wt). Do not leave unknown constants in your equation. x(t) = Rewrite the equation of motion in the form ä(t) = A sin(wt + ), where 0 ≤ ¢ < 2π. Do not leave unknown constants in your equation. x(t) =arrow_forwardConvert the following boundary value problem into a system of linear equation [A]{y} = {b}(without coding), with the following boundary conditions: y” +5y' = x, y(0) = 1, y(10) = 7 with n = 5 2hf'(x) h²f"(x) 2h³ f(x) f(x-2h) -1 1 f(x) f(x+h) f(x+2) 0 1 -2 0 6 flx-h) -1 2 -4 1 1 -2 -4 1 1 Table 5.1. Coefficients of central finite difference approximations of 0(h)arrow_forwardUsing MATLAB to find the maximum.arrow_forward
- * :Q4/B/ the value of X-bar is 0.987 1.5 2 2.5 2.5 O 2.5 X 0.398 O 2.5 2.5 0.857 0.55 0.254 0.5 0.487 1.06 0.65arrow_forward11. g(x) = 2 In x- 6x - 4x 12. h(x) = e* Inx 13. y = Inx 14. f(x) = -4x log3 X 15. f(x) = e" log, xarrow_forwardFind the value of the variables a and b of the given linear equation below. a + b= 2 2a + b = 1 За + 2b %3D 3arrow_forward
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