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‚ explain why f is a decreasing function
Premium Function Binary relation Order theory
Aluminum 2.70 Gold 19.3 1. An object has a mass of 57.7 g and occupies a volume of 21.65 cm3‚ what is its density? 2. An object whose density is 1.98 x 103 kg/m3 has a mass of 35.4 g. How many cubic centimeters does the object occupy? 3. A cylinder has a radius of 12.0 cm. It has a density of 15.2 g/cm3 and a mass of 100 g. What is the height of the cylinder? (Hint: volume of a cylinder can be calculated by r2h) 4. A friend shows you a gift
Premium Volume Density Gold
My name is Milk Bear. I am a school bag. Let me tell you about my past. Early one morning‚ I found myself hanging in a bag shop. Suddenly‚ a young girl‚ about eight years old‚ walked into the shop. Her name is Michelle. She told her mother that she needed a new school bag because her previous bag had given way. So‚ her mother asked Michelle to choose a bag that she liked. Michelle looked at the shelf and saw me. She took me down and placed me on the counter. Suddenly‚ everything turned
Premium 2008 singles Debut albums Walking
Increased “Quick-Fix” Fitness Trends a Result of Increased Obesity About one third of adults and one fifth of children and teens are obese (CDC). This rate has increased at alarmingly high rates over the past 25 years. Along with these increased obesity rates‚ people are realizing how unhealthy this particular lifestyle has become‚ and as an effect‚ have grown the fitness industry tremendously. You can’t watch a television show without seeing at least two commercials bragging about the latest
Free Obesity Nutrition Dieting
Current plastic bag use and disposal‚ both by consumers and through waste management activities‚ not only create environmental problems‚ but also reinforce the perception of a wasteful society. Plastic bags as litter create a visual pollution problem‚ and affect our aquatic wildlife. Many of the grocery store use the plastic bags as a tool to keep the things easy to carrying. Plastic bags aren’t just at the grocery store‚ there every where‚ landfills‚ the oceans and lakes‚ hanging on trees around
Premium Pollution Recycling Waste management
Millions of disposable plastic bags are used and discarded in Washington each year. A beached grey whale was found in West Seattle in 2010 with 20 plastic bags in its stomach. Small pieces of plastic can absorb toxic pollutants like DDT and PCB. Scientists have found that fish are ingesting these toxins when they ingest plastic‚ concentrating the chemicals in the food chain. There is a good chance that we also absorb these pollutants when we eat fish. The good news is‚ Washingtonians are taking
Premium Recycling Pollution Waste
Nowadays‚ the matter of the effect of plastic bags on living environment is becoming more and more serious. This problem seems to be rise with the growth of population‚ development of industry and causes many damages to our environment. This essay will investigate the following problem in two aspects: the first is plastic bags can be harmful with the wildlife by killing animals and non-biodegradable‚ the second is they may turn into a prime reason for pollution because of their prerequisites to produce
Premium Environmentalism United States Environmental Protection Agency Plastic shopping bag
Why has the number of “millionaire cities” increased more rapidly in LEDC’s than MEDC’s in recent years? A millionaire city is a city with a population of over one million people. The number of millionaire cities is higher than ever before and is continuing to increase extremely fast. Recently the percentage of people living in urban areas has surpassed the number of people living in rural areas. This is due to a large proportion of people migrating to urban areas from rural areas. This is due to
Free City Population Urbanization
plastic and paper bags because they jeopardize our planet. Plastic and paper bags create all sort of environmental problems such as; pollution‚ dead animals‚ and overfilled landfills. So instead of using plastic or paper bags in grocery stores‚ we should considered using eco-friendly reusable bags. There are different kinds of reusable bags‚ but the latest trend is one that is made of polypropylene. Although polypropylene is a form of plastic‚ it is safer than regular plastic. These new bags are strong
Premium Recycling Environment Environmentalism
Volume 2‚ Chapter 3 * Identify the important events The monster develops his five senses but he’s unable to differentiate them and is unable to distinguish light and dark when he blinks. He wanders from the laboratory to a forest near Ingolstadt‚ which offered him shade. The monster finds raw berries and nuts and discovers the flickering remnants of a fire. He realises that the fire can be kept by adding wood and that fire is used for warmth and to cook food. All of the people that the creature
Premium Frankenstein Mary Shelley Prometheus