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📝GNS101. GOAL SETTING

GOAL SETTING AND TIME MANAGEMENT  *What is Time?* *Time* is a *limited* , *non-renewable* resource.  ❗❗❗. Note:  those key words must be there *What is Management?*  *Management* is the skilful handling or use of resources such as people (human capital), money,  materials and time  *What is Time Management?* *Time management* is an essential skill in the modern world where several activities have to be crammed into each day.  *There are several time management tools you can use.*  They are cheap and easily available. 🔘 a. *TIMETABLE* :  this is a tabulated list of the times at which certain events or activities are required to occur.  🔘b. *ORGANIZER* : This is a small portable calendar and data book used for planning, or a handheld  computerized device with a simple database for managing appointments and other information.  🔘 c. *TIMEPIECE* : A timepiece is any instrument for recording or showing the time, especially one tha...

PRACTICE QUESTIONS

*TUESDAY SNAP QUESTIONS* All answers should be sent as comment as well as images if possible. Just to keep your brain active  *Course Code :* MTS101🧮📔📊  *Time frame:*  1HR  *Instructions:* Answer all questions correctly. Show only your final answer                     *QUESTIONS*   *1* .  To what sum does the following series converges 6/5 + 1/25, ... (a). 6/5.  (b) 1/5. (c). 5/6. (d). 4/5  *2* . Solve 2x³ - 3x² - 5x + 6= 0   *3.* Obtain the first four terms of the expansion of (1+3x)¹/³ in ascending power of x. Hence evaluate 3√1.03 (cube root) to 5.s.f  *4.* Expand (x + 2y)⁷  *5.* Find the quotient when 2x² - 5x + 7 is divided by 3x + 2.  *6* . When ax³ + bx² + cx + 6 is divided by (x - 1), the remainder is -8. It also has (x - 2) and (x + 3) as factors, find a, b and c.  *7.* The fourth term of an A.P is 14 and the 9th term is 34. Find the thirteenth term. ...

TECHNIQUES OF DIFFERENTIATION

🔳MTS201 *TECHNIQUES OF DIFFERENTIATION* sinx=cosx cosx=-sinx lnx=1/x secx=secxtanx tanx=sec²x cosecx=-cotxcosecx cotx=-cosecx  For example, let's take a look at this question.  *EXAMPLE*  1. If y= x²sinx, let's find dy/dx...    We should be familiar with this formula, _( *Udv/du +Vdu/dx)*_     *Solution* y=x²sinx dy/dx= x²cosx+sinx2x dy/dx=x²cosx+2xsinx✅    Let's take a look at this question.👇🏽  *Example 2.*  y=(x⁴+1)² Find dy/dx...    *Solution*  dy/dx=2(x⁴+1)(4x³) dy/dx=8x³(x⁴+1)✅    There's what we all know as  *IMPLICIT AND EXPLICIT DIFFERENTIATION*    *Example of Implicit differentiation* If y=x²+4xy⁴+7xy+8 dy/dx=....    *Solution* 2x+4y⁴+16xy³ *dy/dx*+7y+7x *dy/dx*=0. (16xy³+7x) *dy/dx*=-2x-4y⁴-7y  *dy/dx*=-(2x+4y⁴+7y)/16xy³+7x✅    *Example of Explicit Differentiation* y=x²+2x-1 dy/dx=...    *Solution*  *dy/dx*=2x+2 ...2(x+1)✅    ...

🌷BIO101

* BIOLOGY * This term is gotten from two Greek words, * bio * - life and * logos * - study Biology is the study of life. Also defined as the study of plants and animals * BRANCHES OF BIOLOGY * 1. Zoology 2. Ecology 3. Morphology 4. Anatomy 5. Genetics 6. Physiology * Morphology * involves the external features of plants and animals * Anatomy * involves the study of internal structures if plants and animals * Genetics * is the scientific study of heredity and variation in living things * Physiology * involves the study of how plants and animals function * CHARACTERISTICS OF LIVING THINGS * 1. Movement 2. Nutrition 3. Respiration. 4. Excretion. 5 Irritability or Sensitivity 6. Growth. 7. Reproduction 8. Adaptation 9. Death * Respiration * is defined as the exchange of gasses between organisms and their environment. * Excretion * us defined as the removal of metabolic waste products from the body.e.g CO2, H2O, e.t.c * Irritability * is the ab...

👷AGY201. EARTH HISTORY

Earth History 🟢 * STRATIGRAPHY * This is a branch of geology that deals with the study of rock layers and layering. Also used in the study of sedimentary and layered volcanic rocks.    Its scientific discipline is concerned with the description of rock successions and their interpretation terms of a general time scale. * PRINCIPLES OF STRATIGRAPHY * All geologists use these principles in deciphering the spatial and temporal relationship of rock layers. The laws were developed in the 17th - 19th centuries based upon the work of * Nicolaus Steno (1669), James Hutton and William Smith * (1) * PRINCIPLE OF UNIFORMITARIANISM * This states that "the present is the key to the past". It allows us to interpret the events of the past in rocks; it allows us to write the history of Earth.    In addition to allowing the interpretation of the past, it allowed the prediction of the future. (2). * PRINCIPLE OF SUPERPOSITION * This states that " in any undisturbed sequ...

📏MEE101

* INSTRUMENTS AND THEIR USE * 1️⃣. * Drawing Sheet: * is a white paper on which an object us drawn which is available in various sizes. * Types * ⏺️. A2 -  420 * 594 ⏺️. A3 -  297 * 420 ⏺️. A4 -  210 * 297 ⏺️. A5 -  148 * 210 2️⃣. * Drawing Board: * is used to support drawing sheet. Therefore, the size of the board is made according to the size of the drawing sheet. * Types * _ Length * width * thickness _ ⏺️. D1 - 1000 * 700 * 25 ⏺️. D2 -  700 * 500 * 15 ⏺️. D3 -  500 * 350 * 15 3️⃣. * Tee square: * is used to draw horizontal and vertical lines on drawing sheet. The vertical part of T is called * BLADE * while the horizontal is * HEAD * . 4️⃣. * Compass: * is used to draw/ construct an arc or circle with known dimensions engineering drawing 5️⃣. * Divider: * is used to divide a line or curve into equal parts 6️⃣. * Set squares📐: * is used to draw lines with an angle between them. * Types * ⏺️. 30° by 60° se...

📊SET THEORY

  E LEMENTARY SET THEORY A Set  is a well-defined collection of objects or things. e.g.   P= {Prime numbers from 1-30} Elements of a Set:  are the items/things that belong to the set. Its denoted by £   e.g.          Let Q = {1,2,3,4,5} Since 2 is contained in set Q, then 2£Q. But 7 is not  contained, therefore, 7 is not a member of set Q Number of elements in a set;  is also called _ CARDINAL NUMBER _  of the set. It is written as n(A). where n= number of             A= Set Hence, Given A= {2,4,6,8}        :- n(A) = 4. That's, number of elements in set A is 4✅✅✅   On this same note: If P= {2,2,2,7,8,8,8,8}.  Find n(P). Solution If you  have numbers or elements being repeated, you pick it as one :- n(P) = 3✅✅✅ * Subset:  is a set within another set.  Assume X= {3,5,6,7,...