Math Answers

Sketch the graph of the function, f defined by

f(x)= |x-3| +[x], x ∈ [2,4] where [x] is greater integer function

Suppose f(x)=x^2 -1 for x belongs to [-1,1] find the upper and lower darboux sum of

(i) four equally space interval

(ii) Ten equally space interval

(iii) n equally space interval

ABC company manufactures and sells two products P1 and P2. Each unit of P1 requires two hours of machining and one hour of skilled labour. Each unit of P2 requires one hour of machining and two hours of labour. The machine capacity is limited to 650 man hours. Only 300 unit's of product P1 can be sold in the market. The per unit contribution from product P1 is Ksh. 80 and product P2 is Ksh. 120 . Formulate a linear programming model

To compare the results of boys and girls in a class, a special test was given to 50 boys who average 67.4 with standard dedication of 5.0 and 50 girls averaged 62.8 with standard deviation of 4.6

• a. Test at 0.05 level of significance, whether the difference is significant or not
• b. Test if the difference is 3.0

Find A if (A^-1-3I)^T= 2 [-1 2

5 4]

The net weight of sample of bottles filled by two different machines produced by two different 

manufactures, are (in grams) Machine 1-5, 8, 7, 6, 9, 7 Machines 2-8, 10, 11, 9, 12, 14, 9 

At the 0.05 level is the mean might of the bottled filed by machine 2 are greater than the mean weight of 

the bottles filled by machine 1?

Accounting equation

Debit/credit

Effects on accounting equation

Assets

Owners equity

Liability

1. Owners contributed cash R50 000 and personal computer R9000 to the business as capital.

2. Business sold goods on credit to a customer Total sales value R15 000

3. The business had not paid rent yet at month end R10 000

4. The owner borrowed a loan from bank R25 000

Find a power series solution of xy'=y

find the curvature and torsion of the curve z=u,y=1+u/u,z=1-u^2/u

find the curvature and torsion of the curve z=u,y=1+u/u,z=1-u^2/u