Math Final Notecard

Complete the Square: 1/2 of b, then square it

Functions: Leave the function alone, solve other side

Negative Exponents: Take reciprocal of the base and make the exponent positive

Interval Notation: They are the notation with the infinitys, should be in (-∞, x)U(y, ∞) form, bracket instead instead of parenthesis if filled in dot/≥ or ≤

Discriminant: b^2-4ac, if it is greater than 0, 2 answers, if exactly 0, 1 answer, if below 0, no answers

Inequalities: When multiply/dividing both sides by...

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Historia

Co bezpośrednio poprzedziło wybuch II wojny światowej?

Odpowiedź:Podpisanie paktu Ribbentrop-Mołotow oraz niemiecka prowokacja gliwicka.

Jak nazywał się niemiecki plan ataku na Polskę i jaką taktykę w nim zastosowano?

Odpowiedź:Plan nosił kryptonim „Fall Weiss”, a zastosowaną taktyką był *Blitzkrieg* (wojna błyskawiczna), opierający się na gwałtownym uderzeniu sił pancernych i lotnictwa.

Co uznaje się za symboliczny początek wojny?

Odpowiedź:Atak Niemiec na Westerplatte

...

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biology

  1. The conjugate acid of HAsO₄²⁻ is: Answer: C. H₂AsO₄ 

  2. Which of the following tests could be used to distinguish between 1.0 M HCl and 1.0 M NaOH?
    Answer: C. II and III only

  3. Consider the following Brønsted-Lowry equilibrium:
    C₆H₅NH₂(aq) + H₂O(l) ⇌ C₆H₅NH₃⁺(aq) + OH⁻(aq)
    The substances acting as acids and bases from left to right are:
    Answer: C. Base, acid, acid, base

  4. Which of the following are amphiprotic?
    I. H₂O                  I. NH₄⁺       

...

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8. Compare GPS, GLONASS, Galileo, BeiDou, NavIC.

System Country Coverage Key Feature Application
GPS USA Global 31 sats, L1/L2/L5 Military, civilian
GLONASS Russia Global 24 sats, high latitude Arctic regions
Galileo Europe Global Civilian controlled SAR, timing
BeiDou China Global 35+ sats, messaging Asia transport
NavIC India Regional 7 sats, L5 & S band Disaster, military

Compare Static, Rapid Static, and Kinematic GPS surveying.

Feature Static Rapid Static Kinematic
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Unit – I

1. Electronic Commerce

Electronic Commerce or E-Commerce refers to buying and selling goods and services through electronic networks, mainly the internet. It includes online shopping, online banking, electronic payments, ticket booking, and digital communication between businesses and customers. E-Commerce helps businesses reach customers worldwide without physical boundaries. It reduces paperwork, saves time, and improves efficiency. Companies use websites and mobile applications to

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Discuss the role of detector arrays and sensor calibration in scanning systems.

1. Pushbroom Architecture Pushbroom scanners use CCD or CMOS arrays consisting of thousands of detectors aligned perpendicular to flight direction. Each detector continuously images a specific ground pixel line as satellite moves forward.

2. Detector Material Types Silicon CCD is used for visible/NIR (0.4–1.1 µm), InGaAs for SWIR (1–1.7 µm), and Mercury Cadmium Telluride (MCT) for thermal infrared. Each

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Bio Evo

Divergent evolution occurs when two or more related species become more different from each other over time, usually due to different environmental pressures. This results in the development of different adaptations that suit their environments. Example: Darwin’s Finches on the Galápagos Islands are an example of divergent evolution. Although they all evolved from a common ancestor, the finches’ beaks became specialized for different food sources on each island, leading to the formation of

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Progam

1. n=(x) store something in something

2, Difedad= с()-c()

3. to change to character/n: c()=as.(what to change)(c())

4. rm(variable) remove from memory / rm(list=1s()) - delete everything - 1s() shows all variables

5. == Is sum equal to sum

6. NAN (not a number) - undefined mathematical operation

7. Z=NA missing a number

8. Vector: variable=c(...) DONT FORGET IF "" OR NO

9. Obtain single value from vector [x]

10. Obtaining range of elements: variable [x:y]

EXERCISE 1 MKT campaigns IF!

conversion=
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Q1. Define Income under the Income Tax Act. Explain the features of income with suitable examples.

Definition:

Under Section 2(24) of the Income Tax Act, 1961, income is defined inclusively. It includes salary, business profits, dividends, capital gains, lottery winnings, perquisites, gifts, and other monetary benefits.

Features of Income:

1. Periodicity: Income may be regular or occasional.

Example: Monthly salary or lottery winnings.

2. Definite Source: Income must arise from a source such

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