IGNOU MSCANCHEM MCH 14 SOLVED ASSIGNMENT

Included:

MCH 14 2025 - English

Tutor Marked Assignment MATHEMATICS FOR CHEMISTS (MCH-014)

Course Code: MCH-014

Assignment Code: MCH-014/TMA/2025

Maximum Marks: 100

Note: Attempt all questions. The marks for each question are indicated against it.

1. State whether the following statement are TRUE or FALSE. Give reason in support of

your answer.

a) Derivative of  with respect to x is 1.

b) If A is a matrix of order 2 by 3 and B is a matrix of order 3 by 2, then order of the matrix A + B is 2 by 3.

c) If and  they are perpendicular to each other.

d) If probability of an event E is 1/2 and probability of the event is 1/6, then probability of the event F is 1/3, where events E and F are independent.

e) If the first term of an AP is 5 and 101 term of the AP is 1005 then

common difference

of the AP will be 105.

2. Solve the following system of equations using Cramer's rule.

x + 3y + 2z = 6, -x + 4y + 5z = 8, 2x + 5y + 3z = 10

3. a) Prove that  is an orthogonal matrix.

4. a) Evaluate  .

b) Evaluate  .

5. a) Solve the differential equation  .

b) If and then find  .

c) In an iron determination (taking 1 g sample every time) the following four replicate results were obtained: 24.8, 25.2, 23.6 and 24.7 mg iron. Calculate the coefficient of variation and relative standard deviation in ppm of the given data.

6. a) In a factory there are three machines A, B, C which produce 10%, 40% and 50% items respectively. Past experience shows that percentage of defective items produced by machines A, B, C are 5%, 4%, 2% respectively. An item from the production of these machines is selected at random and it is found defective. What is the probability that it is produced by machine A?

b) Assume that in a population each person is equally likely to have a particular disease and disease status of each individual is independent of each other, then find the probability that out of the 5 randomly selected individuals who are tested for this particular disease exactly 3 have this disease.

c) A hospital specialising in heart surgery. In 2023 total of 1000 patients were admitted for treatment. The average payment made by a patient was Rs 1,00,000 with a standard deviation of Rs 20000. Under the assumption that payments follow a normal distribution, find the number of patients who paid between Rs 90,000 and Rs 1,10,000.

 

MCH 014 (January - 2025) - ENGLISH

Tutor Marked Assignment

MTMATHEMATICS FOR CHEMISTS (MCH-014)

Course Code: MCH-014

Assignment Code: MCH-014/TMA/2026

Maximum Marks: 100

Note: Attempt all questions. The marks for each question are indicated against it.

1. (a) Which of the following sets are finite, and which are infinite? 

(i) The set of points on the circumference of a circle.

(ii) ]0, 1[

(iii) [-1, 1]

(iv) {1, 2, ..., 100}

(b) If A = {1, 2, 3}, B = {2, 3, 4, 5}, and C = {1}, determine A ∪ B ∪ C and also verify

A ∪ B ∪ C = (A ∪ B) ∪ C = A ∪ (B ∪ C) 

(c) Define subjective, injective, and bijective functions with the examples. 

(d) 1.50 mol of PCl₅(g) is decomposes at room temperature to form PCl₃(g) and Cl₂(g). Determine their concentration at equilibrium, when K_c = 1.80. 

2. (a) Show that the set of following vectors form the sides of a right-angled triangle. 

2î - ĵ + k̂

î - 3ĵ - 5k̂

3î - 4ĵ - 4k̂

(b) Find the work done by the force, F = 5î + 2ĵ + 3k̂ when its point of application moves from A(1, -2, -2) to B(3, 1, 1).

(c) Prove, with the help of vectors, that the diagonals of a parallelogram bisect each other. 

3. (a) Evaluate the following limit. 

(b) If the law of motion of a particle is given as: s = -t³ + 3t² + 25, then (2+1)

i) find its velocity and acceleration.

ii) find the distance covered by the particle in time t = 5 units

(c) Find the derivative of the following functions with respect to x: (2+2)

(i) (x⁻¹ᐟ² - x¹ᐟ²)/(x⁻¹ᐟ² + x¹ᐟ²)

(ii) 3x/√(5+2x²)

4. (a) Find all the second order partial derivatives of the following function. 

f(x, y) = x² - 8xy + y²

(b) Find the equation of tangent and normal to the curve f(x) = x³ - 3x² + 6x - 1 at x = 2. 

(c) Find the asymptotes of the following functions: 

(i) (3x-4)/(2x+6)

(ii) (x²-2x-8)/(x-1)

5. (a) State the order and the degree of the following differential equations: 

(i) (dy/dx)² = (7x)/(4y²)

(ii) √(d³y/dx³) = dy/dx + x⁴

(iii) (dy/dx)³ = √(1+(dy/dx)²)

(iv) (d²y/dx²)¹ᐟ⁵ = k[1+(dy/dx)²]⁵ᐟ²

(b) Evaluate the following integrals: 

(i) ∫(2eˣ - 3√x)dx

(ii) ∫((1+ln x)³)/x dx

(iii) ∫₁³ x²eˣ³ dx

6. (a) Find the differential equation whose solution is given by 

y = eˣ(A cos x + B sin x)

where, A and B are arbitrary constants.

(d) Using the ideal gas equation, estimate the change in the pressure of 1.0 mol of an ideal gas at 0°C when its volume is changed from 22.414 L to 21.414 L. 

(b) Solve the following differential equation: 

(1/y²) (dy/dt) = 1 - e⁻³ᵗ

(c) Show that the equation 

(y - 2x³)dx = x(1 - xy)dy

becomes exact on multiplication by x⁻² and solve it.

7. (a) If A =  then show that 

(i) 1/2 (A + A') is symmetric, and

(ii) 1/2 (A - A') is skew symmetric.

(b) Verify that the following matrix A is orthogonal 

(c) Solve the following system of equations using Cramer's rule. 

x + y - z = 6

3x - 2y + z = -5

x + 3y - 2z = 14

8. (a) Find eigenvectors for the matrix 

(b) Find A⁻¹, where 

9. (a) Two coins are tossed simultaneously then find probability of getting at least one head.

(b) A number is chosen at random from the first 40 natural numbers. Calculate the probability that the selected is divisible by 5 or 7. 

(c) A bag contains 8 red balls and 5 black balls. Two balls are drawn one by one without replacement. Find the probability that both balls are red. 

(d) Define Binomial, Poisson and Normal distribution with appropriate equation and name their terms. 

10. (a) Define Error and their types in quantitative chemical analysis. 

(b) In an iron determination from the same amount of sample, the five replicate results were obtained: 20.1, 19.6, 20.0 and 19.9 and 20.4 mg iron.

Calculate the standard deviation, variance, standard deviation of mean, coefficient of variation and relative standard deviation in ppm of the given data. 

Q: How will I receive the PDF?
A: Immediately after payment, the download link will appear.

Q: Is this hand-written or typed?
A: This is a professional typed computer PDF. You can use it as a reference for your handwritten submission.

Details

• Latest IGNOU Solved Assignment
• IGNOU MCH 14 2025 2026 Solved Assignment
• IGNOU 2025 2026 Solved Assignment
• IGNOU MSCANCHEM Master of Science (Analytical Chemistry) 2025 2026 Solved Assignment
• IGNOU MCH 14 MATHEMATICS FOR CHEMISTS 2025 2026 Solved Assignment

Looking for IGNOU MCH 14 Solved Assignment 2025 2026. You are on the Right Website. We provide Help book of Solved Assignment of MSCANCHEM MCH 14 - MATHEMATICS FOR CHEMISTSof year 2025 2026 of very low price.
If you want this Help Book of IGNOU MCH 14 2025 2026 Simply Call Us @ 9199852182 / 9852900088 or you can whatsApp Us @ 9199852182
 

IGNOU MSCANCHEM Assignments Jan - July 2026 - IGNOU University has uploaded its current session Assignment of the MSCANCHEM Programme for the session year 2025 2026. Students of the MSCANCHEM Programme can now download Assignment questions from this page. Candidates have to compulsory download those assignments to get a permit of attending the Term End Exam of the IGNOU MSCANCHEM Programme.

Download a PDF soft copy of IGNOU MCH 14 MATHEMATICS FOR CHEMISTS MSCANCHEM Latest Solved Assignment for Session January 2026 - December 2026 in English Language.

If you are searching out Ignou MSCANCHEM  MCH 14 solved assignment? So this platform is the high-quality platform for Ignou MSCANCHEM  MCH 14 solved assignment. Solved Assignment Soft Copy & Hard Copy. We will try to solve all the problems related to your Assignment. All the questions were answered as per the guidelines. The goal of IGNOU Solution is democratizing higher education by taking education to the doorsteps of the learners and providing access to high quality material. Get the solved assignment for MCH 14 MATHEMATICS FOR CHEMISTS course offered by IGNOU for the year 2025 2026.Are you a student of high IGNOU looking for high quality and accurate IGNOU MCH 14 Solved Assignment 2025 2026 English Medium? 

Students who are searching for IGNOU Master of Science (Analytical Chemistry) (MSCANCHEM) Solved Assignments 2025 2026 at low cost. We provide all Solved Assignments, Project reports for Masters & Bachelor students for IGNOU. Get better grades with our assignments! ensuring that our IGNOU Master of Science (Analytical Chemistry) Solved Assignment meet the highest standards of quality and accuracy.Here you will find some assignment solutions for IGNOU MSCANCHEM Courses that you can download and look at. All assignments provided here have been solved.IGNOU MCH 14 SOLVED ASSIGNMENT 2025 2026. Title Name MCH 14 English Solved Assignment 2025 2026. Service Type Solved Assignment (Soft copy/PDF).

Are you an IGNOU student who wants to download IGNOU Solved Assignment 2024? IGNOU  Solved Assignment 2023-24 Session. IGNOU Solved Assignment and In this post, we will provide you with all solved assignments.

If you’ve arrived at this page, you’re looking for a free PDF download of the IGNOU MSCANCHEM Solved Assignment 2025 2026. MSCANCHEM is for Master of Science (Analytical Chemistry).

IGNOU solved assignments are a set of questions or tasks that students must complete and submit to their respective study centers. The solved assignments are provided by IGNOU Academy and must be completed by the students themselves.

Course Name	Master of Science (Analytical Chemistry)
Course Code	MSCANCHEM
Programm	Courses
Language	English

 

 

 

IGNOU MCH 14 Solved Assignment	ignou assignment 2025 2026,   2025 2026 MCH 14
IGNOU MCH 14 Assignment	ignou solved assignment MCH 14
MCH 14 Assignment 2025 2026	solved assignment MCH 14
MCH 14 Assignment 2025 2026	assignment of ignou MCH 14
Download IGNOU MCH 14 Solved Assignment 2025 2026	ignou assignments MCH 14
Ignou result MCH 14	Ignou Assignment Solution MCH 14