Math Is Fun Forum

Q.1 Given are five observations for two variables, x and y.
Xi 3 12 6 20 14
yi 55 40 55 10 15
a. Develop a scatter diagram for these data.
b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?
c. Try to approximate the relationship between x and y by drawing a straight line through the data.
d. Develop the estimated regression equation by computing the values of b0 and b1.
e. Use the estimated regression equation to predict the value of y when x = 10.

Q.2 The following data give the percentage of women working in five companies in the retail and trade industry. The percentage of management jobs held by women in each company is also shown.
%Working 67 45 73 54 61
% Management 49 21 65 47 33
a. Develop a scatter diagram for these data with the percentage of women working in the company as the independent variable.
b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?
c. Try to approximate the relationship between the percentage of women working in the company and the percentage of management jobs held by women in that company.
d. Develop the estimated regression equation by computing the values of b0 and b1.
e. Predict the percentage of management jobs held by women in a company that has 60% women employees.

Proof that  integration of y with respect to x is .

Answer These questions

Question1 : if the function fxx(x0,y0)>0 then f has a ------ at (x0,y0)

         a) Relative minima     b) relative maxima  c) saddle point    d) none

Question2 : if phi=2xz^4-  (x^2y) , the |delta phi | at point (2,2,-1) is

         a) 2sqrt93     b) sqrt 372  c) 2sqrt91    d) both a and b

Question 3 : if y=f(x) has continuous derivatives on [a,b] and s denotes the length of arc between the lines x a and x  b then

Question 4 :  arc length s=integral a to b   sqrt(r^2+(dr/d thetha)^2 ) d thetha is called
               
                    a) Rectangular Coordinates   b)  polar coordinates   c ) spherical coordinates   d) none

Question 5 : if the two vectors are A=3i+4j+k   and B=i-j+k then
                     
                    a)They are orthogonal   b) orthonormal   c) antiparallel   d) none

Different Type of Problem

Write a program that compose message in the same fashion as using mobile keypad. The program must receive integer input. When use enter 2 the program outputs letter ‘A’ and if 2 is pressed twice, the letter ‘A’ will disappear from screen and character ‘B’ will appear and if 2 is pressed thrice the letter ‘B’ will disappear and Letter C will appear. To enter ‘AA’ you have to enter number ‘2’ twice with delay. Delay must be as smaller as it is usually in the mobile.

To check a delay between two key press use the following library

#include <time.h>

To get the current time use following function

time(0)

This function will return numeric value of time. You can compute the time difference by getting time at both key press events and test for a fixed time delay to check whether the key press are consecutive or not.

If you want to clear screen use following statement

System(“CLS”);

Similarly find the associated letters with numbers

Requirement.
You cannot use string and character array. Only primitive data types are allowed. You are allowed to use header files that is mentioned or may use other libraries.

Finding point of inflection
Fx= 2/x-4/x^2
I take second derivative tesr that is
4(x-6)/x^4
And point of inflection is 6 but in book there is two point of inflection 2/9 ,6

Solved