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 the maximum and minimum values‚ if any of 6. For the curve y = 3x² + 4x‚ find the slope of the tangent to the curve at the point x = -2. 7. Find
Premium Volume Function Area
————————————————————————————————————————— Question 1 The diagram represents a large cone of height 30 cm and base diameter 58 cm. The large cone is made by placing a small cone A of height 10 cm and base diameter 5 cm on top of a frustum B. (a) Calculate the volume of the frustum B. Give your answer correct to 3 significant figures. ........................ cm3 (3 marks) The diagram shows a frustum. The diameter of the base is 3d cm and the diameter of the top is
Premium Area Triangle Volume
MT230 2010/2011 Exercise 1 (To be returned on Tuesday‚ October 5) Question 1 A mechanical jar filler is used to fill jars with coffee. The filler is set so that the mean jar fill is 205 grams. The standard deviation of the jar fills is 2.5 grams. If the population of jar fills is normally distributed‚ what percentage of jar fills will be (i) greater than 202.5 grams‚ (ii) between 201.25 and 208.75 grams‚ and (iii) greater than 212.5 grams? If coffee jars have a capacity of 200 grams‚ (iv) what percentage
Premium Standard deviation Normal distribution Variance
Written by: Sevdenur Tural Explanation: This text is an answer for a SL paper 1 question from May 2007 session. PRICE MECHANISM Explain the signaling and incentive functions of price in a market economy. In free Market economy allocation of resources is left to market forces of supply and demand which also can be referred to as price mechanism. And the prices are determined as a result of the interaction of those market forces. Price mechanism enables the market to move to equilibrium
Premium Supply and demand Externality Economics
The Math lab evaluation Have you ever been to a place that is depressing‚ gloomy‚ and absolutely apathetic? If not then by all means make a point to go by and visit the math lab. As a student of the University of South Alabama I have been asked to evaluate the math lab by my supervisor. My supervisor had received various complaints by students‚ for that reason I have been asked to observe the math lab record what I saw and write down any suggestions for change. During this evaluation I will discuss
Premium Mathematics Education Psychology
Debbie Cao IB Chemistry 12 Pressure/Volume of Air Full Lab Write Up Introduction: According to Boyle’s Law‚ the volume of any given amount of gas held at a constant temperature varies inversely with the applied pressure. In other words‚ when the pressure increases the volume decreases. When pressure decreases‚ volume increases. This can be derived from the following equation: P1 V1=P2 V2 The common use of this equation is to predict how a change in pressure or volume will alter the
Premium
NAME : NURUL SYAIEDAH BINTI ZULKEFLI I/C NUMBER : 941128-04-5238 CLASS : PU/13/A4 TEACHER’S NAME : PN . CHAH HUA LIN INTRODUCTION As an inventory control manager at hypermarket XYZ‚ you need to ensure a good stock of a health supplement drink under the name JUSMANGGIS. Customers are willing to wait for the drink to arrive at the hypermarket since the hypermarket sells the drink for 12.5 percent less than its competitors. The demand data shows that the customers of hypermarket XYZ purchase
Premium Inventory
|QMDS310 |Assignment 3 |Chan Cheok Hang |B-B0-0199-7 | 5.24 (a)-(2) (b)-(4) (c)-(5) (d)-(1) (f)-(3) 5.32 When m=5 When m=10 [pic] When m=20 [pic] When m=30 [pic] When m=50 [pic] When m increase‚ the probability that at least one of the average will plot outside the control limit increase. 6.8 (a)Based on the chart the process is in statistical control with no out-of-control signals‚ runs‚ trends or cycles. [pic]
Premium Normal distribution Statistics Process control
Australian Identity Good Morning to one and all‚ Thank you for giving me this opportunity today. As this is Australia Day I would like to reflect today on the issue of Identity There are many Australians who say that Australia has no national identity and would be racist if it got one. Ironically‚ such an attitude is a uniquely Australian thing to say. But Australia is a country that has been described‚ as diverse‚ multicultural and unique. Australian society has evolved in a very short space
Premium Indigenous Australians Australia
Nick so far seems to be intelligent and collected‚ leading me to believe he will flow cleanly through the mud that the plot might throw at him. He should make for an interesting narrator. 5. What images does the author use to describe Jordan Baker? What does it mean? He describes her with a raised chin‚ as if she were balancing something on it which was quite likely to fall. I believe he uses this description to indicate 6. How does Nick react to Jordan? He is stunned by her apparent self-sufficiency
Premium Attention Psychology Character