MTH631 Quiz 2 Set 2

Q1. Why is ERP important in operations?

1. Improves UI design
2. Creates marketing campaigns
3. Manages social media
4. Integrates data and processes across departments

Correct answer: Integrates data and processes across departments

Q2. Which of the following companies uses robotic assembly lines?

1. Tesla
2. Nestlé
3. McDonald’s

Correct answer: Tesla

Q3. How does price skimming work?

1. Prices are never changed
2. Prices increase over time
3. High price is set first, then gradually lowered
4. Low prices are set initially

Correct answer: High price is set first, then gradually lowered

Q4. Which pricing model adjusts prices in real-time based on demand?

1. Psychological pricing
2. Bundle pricing
3. Dynamic pricing
4. Skimming

Correct answer: Dynamic pricing

Q5. A fitness app targets senior citizens with low-impact workouts. This is an example of:

1. Undifferentiated marketing
2. Behavioral segmentation
3. Niche positioning
4. Geographic segmentation

Correct answer: Niche positioning

Q6. What is a key benefit of Just-in-Time (JIT) inventory?

1. Long-term warranties
2. Reduced inventory holding costs
3. Higher storage costs
4. Early product launch

Correct answer: Reduced inventory holding costs

Q7. Which type of pricing is often used by tech companies launching innovative products?

1. Price skimming
2. Cost-based pricing
3. Penetration pricing
4. Bundle pricing

Correct answer: Price skimming

Q8. What does the “positioning” process aim to do?

1. Launch a new product
2. Determine pricing
3. Create a unique image in consumers’ minds
4. Build distribution channels

Correct answer: Create a unique image in consumers’ minds

Q9. What is the role of feedback in the production process?

1. Increase output
2. Replace machines
3. Ensure more labor
4. Improve efficiency and quality

Correct answer: Improve efficiency and quality

Q10. The marketing strategy that addresses societal issues along with profit is called:

1. Societal marketing
2. Environmental marketing
3. Ethical marketing
4. Public relations

Correct answer: Societal marketing

Q11. A set of functions \left\{ {{f_1}(x),{f_2}(x),{f_3}(x),.......,{f_n}(x)} \right\} is said to be _________ on an interval I if there exist constants {c_1},{c_2},{c_3},.....,{c_n} not all zero, such that {c_1}{f_1}(x) + {c_2}{f_2}(x),.......,{c_n}{f_n}(x) = 0,\;\;\forall x \in I

1. linear independent
2. linear dependent

Correct answer: linear dependent

{\text{The}}\,\,{\text{input}}\,\,{\text{function}}\,\,g(x)\,\,{\text{can}}\,\,{\text{have}}\,\,{\text{one}}\,\,{\text{of} function}}\,\,k;\,\,{\text{A}}\,\,{\text{polynomial}}\,\,{\text{function;}}\,\,\,\_\_\_\_\_\_\_\_\_. A. {{(I)}}\,\,\,\,\,\,\,\,\,\,{{An}}\,\,{{exponential}}\,\,{{function}}\,\,{e^{ x}} B. {{(II)}}\,\,\,\,\,\,\,\,\,\,{{The}}\,\,{{trignometric}}\,\,{{functions}}\,\, x,\,\, x

C. {{(IV)}}\,\,\,\,\,\,\,\,\,{{All}}\,\,{{(I),}}\,\,{{(II)}}\,\,{{and}}\,\,{{(III)}}{{.}}

D. {{(III)}}\,\,\,\,\,\,\,\,\,\,{{Finite}}\,\,{{sums}}\,\,{{and}}\,\,{{products}}\,\,{{of}}\,\,{{these}}\,\,{{functions}}

Q13. \begin{gathered} {\text{Consider}}\,\,{\text{the}}\,\,{\text{non -

If\,\,{\text{the}}\,\,{\text{input}}\,\,{\text{function,}}\,\,g(x) = {e^{5x}},\,\,{\text{then}}\,\,{\text{the}}\,\,{\text{assumed}}\,\,{\text{particular}}\,\,{\text{solution}}\,\,{y_p}\,\,{\te

A. A{e^{5x}} 5x + B{e^{5x}} 5x B. (Ax + B){e^{5x}} C. (A{x^2} + Bx + C){e^{5x}}

D. A{e^{5x}}

Q14. The differential operator L is called an annihilator operator of the function f if: _________.

1. (iv) All (i), (ii) and (iii).
2. (ii) y = f(x) defines a sufficiently differentiable function.
3. (i) L is a linear differential operator with constant coefficients.
4. (iii) The function f is such that L(y)=0.

Correct answer: (iv) All (i), (ii) and (iii).

{\text{If}}\,X\,{\text{is}}\,\,{\text{the}}\,\,{\text{remaining}}\,\,{\text{amount}}\,\,{\text{of}}\,{\text{the}}\,\,{\tex = kX,\,{\text{where}}\,\,k < 0\,\,{\text{because}}\,X\,\,{\text{is}}\,\_\_\_\_\_.

A. {{decreasing}}

B. {{increasing}}

Q16. \begin{gathered} {\text{Consider}}\,\,{\text{the}}\,\,{\text{non -

If\,\,{\text{the}}\,\,{\text{input}}\,\,{\text{function,}}\,\,g(x) = (9x -

Q2. {e^{5x}},\,\,{\text{then}}\,\,{\text{the}}\,\,{\text{assumed}}\,\,{\text{particular}}\,\,{\text{solution}}\,\,{y_p}\,\,{\

1. (Ax + B){e^{5x}}
2. A{e^{5x}}
3. (A{x^2} + Bx + C){e^{5x}}
4. A{e^{5x}} 5x + B{e^{5x}} 5x

Correct answer: (Ax + B){e^{5x}}

Q17. The homogeneous linear differential equations always possess the _________ solution.

1. trivial
2. non-trivial

Correct answer: trivial

Q18. In differential equations, the symbol D is known as _________ operator.

1. relational
2. differential
3. arithmetic
4. integral

Correct answer: differential

Q19. The polynomial linear differential operators with constant coefficients _________.

1. identical
2. distributive
3. commute
4. inverse

Correct answer: commute

Q20. \begin{gathered} {\text{A}}\,\,{\text{function}}\,\,{\text{satisfying}}\,\,{\text{the}}\,\,{\text{differential}}\,\,{\text{equation}}\,\,{\te \hfill \\ {\text{that}}\,\,{\text{the}}\,\,{\text{slope}}\,\,{\text{of}}\,\,{\text{the}}\,\,{\text{curve}}\,\,{\text{at}}\,\,{\text{th

1. {{boundary}}
2. {{initial}}

Correct answer: {{initial}}

Q21. The simplest examples of periodic functions from \mathbb{R} into \mathbb{R} included the well-known Sine and Cosine functions, since for each k \in \mathbb{Z}

1. False
2. True

Correct answer: True

Q22. A Fourier series expansion of a function is a representation of the function as a linear combination of sines and cosines as _______________

1. \{ 1, nx, nx\} _{n = 0}^
2. \{ 1, nx, nx\} _{n = 1}^
3. \{ 1, nx, nx\} _{n = - }^
4. \{ 1, nx, nx\} _{n = 0}^{ - }

Correct answer: \{ 1, nx, nx\} _{n = 1}^