# Other Math

## A force F of magnitude 79 N is applied to the gear. Determine the moment (positive if clockwise, negative if counterclockwise) of F about point O.

EXPERT ANSWER M = Fy*Cosθ*r = 79Cos12o*0.11 = 8.5 Nm

## An economy consists of coal, electric, and steel industries. For each \$1.00 of output, the coal industry needs \$0.04 worth of coal, S0.10 worth of electricity, and \$0.30 worth of steel, the electric industry needs \$0.03 worth of coal, \$0.04 worth of electricity, and S0.04 worth of steel; and the steel industry needs S0.20 worth of coal and \$0.02 worth of steel. The sales demand is estimated to be S4 billion for coal, \$4 billion for electricity, and \$2 billion for steel. Suppose that the demand for electricity triples and the demand for coal doubles, whereas the demand for steel increases by only 50%. At what levels should the various industries produce in order to satisfy the new dermand? Set up the input-output matrix. Coa Electric Steel Coal Electric Steel

EXPERT ANSWER Form 3*3 matrix from the given data.form demand matrix.change the values of demand matrix according to the changes in the problem.X=[(I-A)^-1]*D.

## Two lines L1 having end points (3,4,7), (5,6,1) and L2 having end points (1,5,- 2), (2,9,0). Determine either the lines are perpendicular to each other or not. Find out the intersection points.Draw the curve too

Two lines L1 having end points (3,4,7), (5,6,1) and L2 having end points (1,5,-2), (2,9,0). Determine either the lines are perpendicular to each other or not. Find out theintersection points.Draw the curve too EXPERT ANSWER

## SHOW BOTH GRAPHICALLY AND ANALYTICALLY.1) | z-1 | = | z(conjugate) – 1 |. 2) z= 2( z-1 )

SHOW BOTH GRAPHICALLY AND ANALYTICALLY 1) | z-1 | = | z(conjugate) – 1 | 2) z= 2( z-1 ) ignore the second one EXPERT ANSWER

## Calculate the most probable values for A and B in the equations below by method of least squares. Consider the observations to be of equal weight. Solve the problem using both algebraic approach and matrices and compare your results. (10pts)

Calculate The Most Probable Values For A And B In The Equations Below By Method Of Least Squares. Consider The Observations To Be Of Equal Weight. Solve The Problem Using Both Algebraic Approach And Matrices And Compare Your Results. (10pts) A + 2B = 10.50 + v1 2A – 3B = 5.55 + v2 2A …