Previous exam questions on area between functions and volumes of solids. 1. Let f(x) = cos(x2) and g(x) = ex‚ for –1.5 ≤ x ≤ 0.5. Find the area of the region enclosed by the graphs of f and g. (Total 6 marks) 2. Let f(x) = Aekx + 3. Part of the graph of f is shown below. The y-intercept is at (0‚ 13). (a) Show that A =10. (2) (b) Given that f(15) = 3.49 (correct to 3 significant figures)‚ find the value of k. (3) (c) (i) Using your value of k‚ find f′(x). (ii) Hence
Premium Function Binary relation Order theory
Functional appliances in Orthodontics Functional appliances are devices that modify the functional environment in the oral cavity by influencing and changing the surrounding hard tissue. Functional devices can be used to correct malocclusions including class II and class III malocclusions and asymmetrical bites. Functional appliances have advantages including the ability to enlarge the transverse width of arches to provide extra space and prevent crowding. They also cause less problems for
Premium Orthodontics
Surface Area Formulas In general‚ the surface area is the sum of all the areas of all the shapes that cover the surface of the object. Cube | Rectangular Prism | Prism | Sphere | Cylinder | Units Note: "ab" means "a" multiplied by "b". "a2" means "a squared"‚ which is the same as "a" times "a". Be careful!! Units count. Use the same units for all measurements. Examples |Surface Area of a Cube = 6 a 2
Premium Rectangle Area
Functional Assessment and Program Development for Problem Behavior: Workbook Summary The Functional Behavioral Assessment is a problem- solving process for concentrating student behavior problems. “Problem behaviors are a source of confusion and frustration” (O’Neill‚ 1997‚ p.4). The assessment relies on an assortment of techniques and strategies to recognize the purposes of precise behavior and to assist IEP teams choose interventions to precisely address the problem behavior. Functional behavior
Premium Psychology Behavior Behaviorism
BE PROPERLY STAPLED. 1. Are the two rectangular prisms similar? If so‚ give the similarity ratio. 2. The lateral areas of two similar paint cans are 1019 cm2 and 425 cm2. The volume of the small can is 1157 cm3. Find the volume of the large can. 3. The volumes of two similar solids are 128 m3 and 250 m3.The surface area of the larger solid is 250 m2. What is the surface area of the smaller solid? 4. Triangular Prism X and triangular Prism Y are similar. The ratio of corresponding dimensions
Free Area Volume Length
Embedding Functional Skills The role of the Learning Coach entails the delivery of ESOL Employability to 16-18 years and 19 plus Learners. While ensuring the completion of achieving City & Guilds Employability with ESOL learners‚ it is part of the course outline to embed functional skills. Embedding functional skills facilitates gentle touches of literacy and numeracy within the course subject. The purpose of this is to compliment and transfer these skills to the subject delivered. Delivering
Premium Learning Knowledge Skill
Functional Styles of Speech The Colloquial Style This is the style of informal‚ friendly oral communication. The vocabulary of colloquial style is usually lower than the formal or neutral styles‚ it is often emotionally coloured. Colloquial speech is characterized by the frequent use of words with a broad meaning (широкозпачные слова): speakers use a small group of words in different meanings‚ whereas in a formal style (official‚ business‚ scientific) every word is to be used in a specific and clear
Premium Slang Linguistics Syntax
needed/ amount of time will be spent obtaining this information Weather a single child needs to be observed or the group 5) Which of the following are objective statements? A. Pours milk. B. Rocks the doll. C. Gets even. D. Feels lonely. 6) Why is the anecdotal record considered the simplest form of direct observation? An anecdotal record is the simplest form of direct observation due to the fact that there is no specific way to keep this record‚ it can be written on a piece of paper
Premium Observation Philosophy of science Scientific method
from Table 11-3. How important is trust to a cross-functional team? Describe how managers can build trust among cross-functional teams‚ which comprise diverse backgrounds and differing perspectives. Explain which type of cohesiveness‚ socio-emotional or instrumental‚ is more important in this type of cross-functional team. What strategies would you offer Google’s Laszlo Bock to help in creating‚ developing‚ and leading effective cross-functional work teams? Explain how Google’s HR team members
Premium Team Management The A-Team
accomplishing academic demands‚ entering a famous university‚ or getting employed by a major company. It requires socializing with others‚ especially with the opposite sex; teenage dating can help this progress. By spending great amounts of time of deep communication while dating‚ teenagers will be able to learn how to interact and respect the opposite sex as well; and this ability to communicate and respect the opposite sex is extremely important in growing into a social being. Thus teenage dating is clearly
Premium Young adult Adolescence Puberty