Trigonometric functions

Firstly, when n=0, we have F(0)≤4*F(0)+0 ⟹F(0)≥0. Secondly, when n=2^(k+1), where k is a nonnegative Integer, we have F(2^(k+1) )≤4*F(2^k )+2^(k+1). We can prove that the function F(n) satisfies the propertyP: ∀k∈N,F(2^k )≤4^(k+1)*F(0)+S_k, where S_k is the k^th term of a sequence of integers 〖(S_m)〗_(m=0)^(+∞) that we will calculate later: The case of k=0 is correct, because we have F(2^0 )≤4^1*F(0)+1, which means S_0=1. We suppose that the case of k=m is correct, where m∈N, which means F(2^m

graph has a far larger amplitude of 2 and smaller period of about 1.49. PART B QUESTION 6 A) The three equations are: y= 1 sin (0.2731819699*x), y= 1 sin (0.2243994753*x) and y= 1 sin (0.1903995548*x). In order to find the equations of the functions for the 3 biorhythms I used the equation (2XPi)/the period of the graph. B) My birthday is on the 8/5/1999 (day 128 of that year). 1999 was not a leap year. C) I have been alive for 5940 days (on the 12/8/15), minus 224 days (to get the first of

Typically surgery includes taking an autograft from the patella tendon or the hamstrings and re-passing so as to make the ligament the joining through a tibial and a femoral passage, and connecting it with a pin. The achievement rate of the union is around 90%. Restoration back to ordinary and games will for the most part take six to nine months, however could proceed for more. Come back to typical level of game reaches from 30-90% following 12 months, yet the revamping of ordinary capacity is high

In the Japanese Tales, translated by Royall Tyler, the observation that animals function as agent of karma is valid. Aside from this motif, snakes can be portrayed with a broad range of abilities and personalities in order to teach Buddhist values. Within these many Buddhist values are themes of karma and lust that teach a moral lesson, which gives snakes a paradoxical characterization. This essay will show the complexity in characterization of snakes in order to express karmic repercussions

Anyone that does any type of sports, or really anything outdoors, needs a GoPro. GoPros produce such a high quality image or video, and they are so small! In this speech I will be talking about the pluses of a GoPro, including its size, amazing Image Quality, and what you can do with it! If you listen to what I say, I am sure you will instantly want to buy a GoPro camera. Before I start off, I will give a quick background on my experience with GoPros. I have the Hero 3+ Black model, which is two

“The Father of Galion Ohio” If I could meet and sit down and have a cup of coffee and conversate with one major influential figure in Galion’s history I would want to talk with Asa Hosford. Asa Hosford was born June 17th, 1799 and soon after Asa Hosford before he died married Alta Kent in 1824 giving him a chance to have five children. I believe Asa Hosford is a key component in the history or upbringing of Galion. Asa Hosfor arrived on the settlement which had no official name on December 19th

From the graph above we can see that the hypothesis was correct. The line of best fit shows that there were 2 outliers. If there were no sources of error, the graph would be decreasing fairly constantly. Also, as you can see from the table above the trend appears to be fine until it reaches 2-methylpropan-2-ol. The reason for this is because compared to the other alcohols, 2-methylpropan-2-ol does not have a very neat structure, instead it is more globular and more compact. Due to it being more compact

Mass Index (BMI) is a comparison between a person's height (in meters) and weight (in kilograms) in order to determine whether one is overweight or underweight based on their height. The goal of this portfolio is to prove of disprove how BMI as a function of Age (years) for girls living in the USA in 2000 can be modeled using one or more mathematical equations. This data can be used for parents wanting to predict the change in BMI for their daughters or to compare their daughter's BMI with the median

BANANA TIME CASE This case deals specifically with the members of the "clicking" workgroup. The problem appears to be a total lack of supervision and management oversight as the work location is completely isolated from other areas of the shop floor. This lack of supervision has led to a number of concerns. Specifically, the issues of horseplay, extended breaks and operator disruptions, which all lead to a loss of production, are clearly visible during daily operations. These problems, while

Introduction A facet of Christian faith is the belief that mankind is created in the image of God. So God created mankind in his own image, in the image of God he created them; male and female he created them.” I believe we were created in God's image, and that it influences me every day as a manager at Target. The inherit image of God in myself shows me that I should treat others with dignity and have no bias or exploitation of others based on looks, creed, race, gender, etc. The inherit image