1Seaweeds: Seawoods are commonly eaten in Asia but are still underused in Westem countries. Interest in seaweed is increasing, and they may become important ingredients in Europe because they are nutritious and sustainable. 2.The Domesday Book: The Domesday Book was written in 1088 for William the Conqueror. It recorded who owned land in England and how much it was worth, so the king could calculate taxes. It is extremely important because it gives detailed information about medieval society. Its
Price Discrimination under Monopolistic Competition
Price discrimination means selling the same product at different prices to different buyers at the same time, even though the cost of production is the same.
Example:
A salon charging different prices for the same haircut for men, women, or children.
Why Price Discrimination Can Occur Under Monopolistic Competition
Although perfect monopolists generally practise price discrimination, monopolistic competitors can also do
lim x->0 sinx/x = 1 | H.A.: compare degrees | V.A.: denom = 0 | Continuous if: f(a), lim, equal
DERIVATIVES: (x^n)'=nx^(n-1), (e^x)'=e^x, (a^x)'=a^x ln a, (lnx)'=1/x | (uv)'=u'v+uv', (u/v)'=(u'v-uv')/v^2 |chain: (f(g(x)))'=f'(g(x))g'(x)
TRIG DERIVATIVES: (sin)'=cos, (cos)'=-sin, (tan)'=sec^2 | (sec)'=sec·tan, (csc)'=-csc·cot, (cot)'=-csc^2
CRITICAL POINTS:f'=0 or DNE ⇒ crit pt | f'>0 inc | f'<0 dec | f''>0 conc up | f''<0 conc down | inflec = f'' signchange
INTEGRATION: ∫x^
Shows concepts only: classes, attributes, associations, multiplicities.
No methods, no UI, no controllers.
Purpose: understand the real-world objects.
Actor ↔ System interaction.
Verb+noun name.
Format: Actor step vs System step.
Use cases → sequence diagrams → class diagrams.
🔵 UML CLASS DIAGRAM (Module 7)
Class: name, attributes, methods.
Association: line with multiplicity (1, 0..1, , 1..).
Inheritance: open triangle
१) वर्ण का मतलब बताकर उसका वर्गीकरण स्पष्ट कीजिए।
उत्तर:
वर्ण का अर्थ : वर्ण उस मूल ध्वनि को कहते हैं, जिसके और टुकड़े या खंड नहीं किए जा सकते। यह भाषा की सबसे छोटी इकाई है। उदाहरण के लिए— 'अ', 'क', 'ख',
Q1. Differentiate visual and non-visual programming language.
Visual programming languages allow developers to create programs using graphical elements like forms, buttons, and drag-and-drop tools. In a visual environment, the programmer focuses more on designing the interface and linking events rather than writing complex lines of code. Visual Basic (VB) is a good example, where you can create applications by placing controls on a form. These languages make development faster, easier, and more
1. If reflected/refracted rays never meet, the image is virtual because the rays only appear to meet when extended backward. This happens in plane & convex mirrors and in diverging lenses, or in converging lenses when the object is inside F.
2a. Refraction is the bending of light as it changes speed moving between media. 2b. Rules: (1) Low→high density = toward normal. (2) High→low density = away from normal. 2c. Higher optical density = higher refractive index. 2d. Symbol = n.
3a. Critical