3. Consider a system with the governing equation of motion: 4 0 0 0201 +1-1 2-1 |x=0 4- 0 L0 0 0 -1 Obtain the characteristic equation. Explain how to obtain the mode shapes. You do not need to actually compute the mode shapes
3. Consider a system with the governing equation of motion: 4 0 0 0201 +1-1 2-1 |x=0 4- 0 L0 0 0 -1 Obtain the characteristic equation. Explain how to obtain the mode shapes. You do...
l0 0 1 2 3 4 5 6 7 8 9 10 time (s) The graph above gives the velocity versus time for some object. Which of the graphs below, of position versus time, is consistent with this graph? 01 2345678 9 10 012345678 910 time (s) E 45.0 5.0 15.0 0123 4567 8 910 0123456789 10 time (s) 30 01 23 45678910 time (s)
0 5 5 Find the inverse of A- 3 0 8 by computing its adjoint. L0 6 0
how did he go from step 1 to step 2 and 3
fesxCx- steps (x-2) -3) 12 l0 Step1 -fy X-3 X-2 X-1 2 x-15x +9 4 ) xCx- (x-L) x -3) 4 x (x-1 2x -15x+9) Step2 C tep 3 (x -2)x-3)'
fesxCx- steps (x-2) -3) 12 l0 Step1 -fy X-3 X-2 X-1 2 x-15x +9 4 ) xCx- (x-L) x -3) 4 x (x-1 2x -15x+9) Step2 C tep 3 (x -2)x-3)'
-l0 1- e-2x x MO 2) The distribution function for a random variable X is f(x) x <0 Find a) the density function 2 b) the probability that X 4 c) the probability that -3 <x 6inotion
show complete solutions
4. 4 l А 1 2 3 3 8 0 BE -1 sowe For AB
(3) for 0 <2<1 u(0,t) = 4,(2, t) = 0; u(,0) = { " 1 for 1 <<< 2 Solve the heat equation and write down the complete solution. You can skip the nonessential steps, but please show the integration.
0, P - 0 2 ) - 1. 3. Let (X, A,) be a complete measure space. Assume that A, B E A with (A) = (B) < . Show that if A CCCB, then CE A. 4 Let A and Rhe two collections of euheete of Y Aceume that any cot in 4 halanes
4. Complete the following reactions with the major products Include stereochemistry where it applies (30pts) 1) LDA 2) Me-Br heat H3 Ha 1)xs Mg, ether 2) xs CO2 3) H,0
Score: 0 of 1 pt 2 of 3 (0 complete 5.1.24 Use the figures to calculate the left and right Riemann sums for on the given interval and the given value of n. X2 4- 4- 0 1 2 3 4 0 1 2 3 5 The left Riemann sum for fis (Round to two decimal places as needed.)