R is defined by T (7) = AZ mation T: R3 4. [20 marks) A linear transformation T: R with A given as follows: A= [ 1 -2 1 3 0 -21 1 6 -2 -5 J (1). (8 marks) A vector in R is given as follows = -1 determine the image of 7 under T. 12 marks) Find a vector in Rwhose image under T is the following vector 6 -17 7 = 7 L -3 or demonstrate...
B. z 30° A 7 in. X 7 in. 3 in. y 150 lb Determine the minimum diameter of the crank shaft at C if the material chosen has an allowable shear stress of 20 ksi.
3 2 *** 1 -] -2 - 3 VI -7 -8 Based on the graph above, determine the amplitude, midline, and period of the function Amplitude: Period: Midline: y =
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vi. (8 mark) For an equation of the form TATity criterion is m,n m,n A 20 The equation 1 ar = azT+?T when discretized using explicit method, leads to T p l = Fo Tm +1 + 깎ǐ n + T pn+1 + T pn-l + (1 4 Fo) Tm, where Fo is the Fourier number. If the spatial step-size is Ax = 10-6 m , and the thermal diffusivity α-10-5 m2/s, what should be the maximum step size in...
Due Thu 06/06/2019 2:5 A force of 20 lb stretches a spring 2 ft. A 8-lb weight is attached to the spring and the system is immersed in a medium that imparts a damping force equal to its instantaneous velocity. (a) Find the equation of motion if the weight is released from rest 18 inches above equilibrium position. z(t) Preview (b) the weight is released 18 inches above the equilibrium position with an upward velocity of 3 ft/s. r(t) Preview...
KHw-set#7-chapter17-probs Problem 17.78 Two cylinders A and B, having a weight of 8 lb and 4 lb, respectively, are attached to the ends of a cord which passes over a 3-lb pulley (disk). The cylinders are released from rest. The cord does not slip on the pulley. Neglect the mass of the cord. Suggestion: Analyze the system consisting of both the cylinders and the pulley. (Figure 1) Part A Determine their speed in t 0.5. Express your answer to three...
set of linear equations are given as follows 10 x +20 y +9z 414 +7 x -14y +12z 363 -3x +12 y +11 z-475 If the above system of linear equations is represented by the matrix system where the unknown vector vI-x y z) A- coefficient of the linear systems, and b-right-hand side vector 1) Write the matrix A 2) Using a for-loop, write a Matiab-code to compute matros-matrix product Le., C A'A 3) Select the correct value of C'b...
In Problems 7 and 8 find the general solution of the given differential equation. 8. y′′ + 2y′ + 5y = g(t), (a) g(t) = −2t + 4t2; (b) g(t) = t3;
Consider the initial value problem for function y, y" – ' - 20 y=0, y(0) = 2, 7(0) = -4. a. (4/10) Find the Laplace Transform of the solution, Y(8) = L[y(t)]. Y(8) = M b. (6/10) Find the function y solution of the initial value problem above, g(t) = M Consider the initial value problem for function y, Y" – 8y' + 25 y=0, y(0) = 5, y(0) 3. a. (4/10) Find the Laplace Transform of the solution. Y(s)...