Applications of Differentiation 1. If a line y = x + 1 is a tangent to the curve y2= 4x ‚find the point the of contact ? 2. Find the point on the curve y = 2x2– 6x – 4 at which the tangent is parallel to the x – axis 3. Find the slope of tangent for y = tan x + sec x at x = π/4 4. Show that the function f(x) == x3– 6x2 +12x -99 is increasing for all x. 5. Find a‚ for which f(x) = a(x+sinx)+a is increasing 6. Find the intervals in which the function f ( x ) = x3 - 6x2 + 9x + 15 is
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from top of the burette and to the bottom‚ the average volume of each of the water droplet and the volume of NaOH needed to neutralise the benzoic acid in aqueous solution. From the volume collected for 50 droplets surface area and radius is calculated for a droplet. The uses of the surfaces area and volume help to determined the concentration of benzoic acid in kerosene‚ mole of benzoic acid transferred‚ molar flux and mass transfer coefficient. 2.0 Theoretical background The background
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Chemistry For You by Laurie Ryan‚ it states "As you increase the concentration of the acid‚ there are more acid particles in the same volume. Therefore there is a greater chance of acid particles colliding‚ and reacting with more particles on the surface of the marble." So‚ this means that the higher the concentration of my acid the faster the reaction. Method I will weigh out one gram of marble chips using a balance and put it in a conical flask and add to it a concentration of 50cm3
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heating stove. Question 2: Is there any difference between this frying pan and Ozeri Green earth 10 Inch Pan? Answer: Yeah‚ the coating in Ozeri Stone earth frying pan is different from that of Ozeri Green earth. The Green earth pan uses Ceramic based nonstick coating while Ozeri 10” Stone Earth has a Stonehenge coating. This is the major difference. Question 3: How durable is this Frying pan? Answer: We can assure you that this frying pan is made from durable materials. It is very durable and reliable
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GCSE Geography| Topic 2| Water On The Land What are the Key Ideas for this Topic? The Shape of river valleys changes as the river flows downstream River Features & Landforms Storm Hydrographs Flooding in MEDC’s and LEDC’s Hard and Soft Strategies for River Management and Reservoirs The Shape of river valleys and River Processes A rivers long profile changes over its course. Every river has: An Upper Course Middle Course Lower Course Long Profile- shows how the gradient
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SIMULATION OF RATCHETING BEHAVIOR BY FINITE ELEMENT METHOD M.Tech. Dissertation Submitted in partial fulfillment of the requirements for the award of the degree of Master of Technology by Ajit Gajanan Dongarkar Roll No. 00310601 under the guidance of Prof. P. Vasudevan and Prof. Amitava De Department of Mechanical Engineering Indian Institute of Technology Bombay. January 2003 1 Dissertation Approval Sheet This is to certify that the dissertation entitled “Simulation of Ratcheting
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SOIL Soil is formed at a rate of only 1 cm every 100 to 400 years and it takes 3000 to 12000 years to build enough soil to form productive land. This means that soil is a nonrenewable resource and once destroyed it is gone forever. If we disregard this‚ a time will come when there would not be enough soil left to sustain life on earth‚ because the soil is a necessary growth medium for plants‚ a home for certain insects and animals‚ as well as a medium from which we get minerals‚ such as gold.
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project is on the surface tension of water and what affects the surface tension of water. The question that I am going to ask is how does temperature and salinity of water affect the surface tension of the water. My hypothesis is that the colder and the saltier that the water is‚ the stronger that the surface tension of the water will be. Some of the background research that I have done has explained to me that the surface tension of water is a property of a liquids surface that can cause it to
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Find the Right Location 1. Observe the flow of water from rooftops‚ driveways‚ or other hard surfaces and place the rain garden where the water collects. 2. Select an area on marginally sloping or flat land. 3. Calculate the slope of your lawn (continued below). 4. Pick a spot that has full to partial sun if possible. 5. Place the rain garden at least 10’ away from a building/housing structure. 6. Call 811 or 1-800-522-6543 for OKIE811‚ the Oklahoma Company for damage prevention information before
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the intersection of three orthogonal surfaces‚ as shown. Cartesian Cylindrical Spherical Transformation from Cylinder to Cartesian Coordinates Transformation from Cartesian to Cylindrical: Transformation from Spherical to Cartesian: The inverse transformation Differential Lengths‚ Surfaces and Volumes When integrating along lines‚ over surfaces‚ or throughout volumes‚ the ranges
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