Solve the equation by graphing two points

Use your result in (a) to solve the system: ■(x&+2y&+z&=1@x&y&+2z&=2@x&+y&+2z&=3) Question#2 (5) (modified from #13 p. 102 in your book) Solve the matrix equation for X X[■(1&1&1@1&2&0)]=[■(1&1&1@3&4&2)] Question#3 (5) (modified from #9 p. 102 in your book) Let [■(a&0&b&2@0&a&3&6@0&a&b&c+2)] be the augmented matrix of a linear system. Find for what values of a,b,c the system has: (i) a unique solution (ii) a one-parameter solution (iii) a two-parameter solution iv) no solution Question#4 (7) Write the matrix A=[■(-1&1&-1@1&1&-1@1&-1&2)] as a product of elementary matrices Question#5 (3) Find the determinant by any method: |■(0&-1&0&0&1@1&1&1&3&1@1&2&3&1&2@1&-1&0&3&1@1&-1&1&0&1)| Question#6 (3-2)Given thissystem: ■(x_1&+2x_2&+x_3&=1@x_1&-〖3x〗_2&+0x_3&=2@x_1&+0x_2&+2x_3&=3) a) Use Cramer’s method to solve for x_1 only b) Solve for the other variables by any method.

iven by a=x0= 0m x1=1m x3=2m b=x3=3m The equation for the 1d bar bending is given by : Data : P=20.Pa, T=10000.N/m a=0., b=5. et The bar is discretized into n=4 points with a constant spacing . 1) Considering the Taylor expansion of and 2) Replacing the approximation in the bending equation, show that we have the following Discrete approximate problem where , , 3) Solve the linear system using both direct Gauss and Gauss-Jordan methods and plot the curve 4) Using numerical integration, compute the approximate

such that when R is revolved about the line y=k, the resulting solid has the same volume as the solid resulting when R is rotated about the x-axis. Write an equation involving integral expressions that can be used to find the value of k, and then solve for k.