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Solve the following differential equation.
x2y dx − (x3 + y3) dy = 0
Concept: Basic Concepts of Differential Equations
The integrating factor of the differential equation `dy/dx - y = x` is e−x.
Concept: Basic Concepts of Differential Equations
State whether the following statement is true or false:
Order and degree of a differential equation are always positive integers.
Concept: Order and Degree of a Differential Equation
For the differential equation, find the particular solution (x – y2x) dx – (y + x2y) dy = 0 when x = 2, y = 0
Concept: Basic Concepts of Differential Equations
Deepak’s salary was increased from ₹ 4,000 to ₹ 5,000. The sales being the same, due to reduction in the rate of commission from 3% to 2%, his income remained unchanged. Find his sales.
Concept: Commission and Brokerage Agent
The payment date after adding 3 days of grace period is known as ______.
Concept: Commission and Brokerage Agent
Broker is an agent who gives a guarantee to seller that the buyer will pay the sale price of goods.
Concept: Commission and Brokerage Agent
In an ordinary annuity, payments or receipts occur at ______.
Concept: Annuity
The equations given of the two regression lines are 2x + 3y - 6 = 0 and 5x + 7y - 12 = 0.
Find:
(a) Correlation coefficient
(b) `sigma_x/sigma_y`
Concept: Lines of Regression of X on Y and Y on X Or Equation of Line of Regression
For 50 students of a class, the regression equation of marks in statistics (X) on the marks in accountancy (Y) is 3y − 5x + 180 = 0. The variance of marks in statistics is `(9/16)^"th"` of the variance of marks in accountancy. Find the correlation coefficient between marks in two subjects.
Concept: Properties of Regression Coefficients
State whether the following statement is True or False:
If byx = 1.5 and bxy = `1/3` then r = `1/2`, the given data is consistent
Concept: Properties of Regression Coefficients
bXY . bYX = ______.
Concept: Properties of Regression Coefficients
In an assignment problem, if number of column is greater than number of rows, then a dummy column is added.
Concept: Assignment Problem
A toy manufacturing company produces five types of toys. Each toy has to go through three machines A, B, C in the order ABC. The time required in hours for each process is given in the following table.
| Type | 1 | 2 | 3 | 4 | 5 |
| Machine A | 16 | 20 | 12 | 14 | 22 |
| Machine B | 10 | 12 | 4 | 6 | 8 |
| Machine C | 8 | 18 | 16 | 12 | 10 |
Solve the problem for minimizing the total elapsed time.
Concept: Types of Sequencing Problem
State the importance of principles of management.
Concept: Significance of Management Principles
State with reasons, whether the following statement is True or False:
Principles of management improve the efficiency of employees.
Concept: Concept of Management Principles
State with reasons whether the following statements are True or False
Principles of management are rigid.
Concept: Concept of Management Principles
______ was regarded as the Father of Scientific Management.
Concept: Taylor's Scientific Management Theory
Scalar chain means the hierarchy of ______ from the top level to the lower level for the purpose of communication.
Concept: Henry Fayol's Administrative Theory of Management
Study the following case/situation and express your opinion.
| Mr. Harshad is an entrepreneur and is engaged in the production of eco-friendly utensils. Both male and female workers are working in his factory. All male employees are directly working on machines whereas female employees are working in Packaging Department. Mr. Sharath is working as Finance Manager while Mrs. Naina is working as HR Manager who is responsible for recruiting employees in the factory. On this basis: |
- Identify any one principle of management in the above case.
- What is the designation of Mrs. Naina in this organization
- Who is responsible for the overall planning of the organization?
Concept: Henry Fayol's Administrative Theory of Management
