Trigonometric functions

separated into two parts. The first part is called the first fundamental theorem of calculus and states that one of the antiderivatives of some function may be obtained as the integral of the function with a variable bound of integration. The second part of the theorem, called the second fundamental theorem of calculus, states that the integral of a function over some interval can be computed by using any one of its infinitely many antiderivatives. The fundamental theorem of calculus along…

John Gutmann was one of America’s most distinctive photographers. Gutmann was born in Germany where he became an artist. He later fled Germany due to the Nazi’s because he was a Jew. Gutmann moved to San Francisco and re-established himself as a photojournalist captivating the lives of Americans. He mainly took photographs of people who were imperfect like himself because of his Jewish nationality. Gutmann targeted the poor, circus folk, the gay community and the rich. Two of Gutmann’s works are…

theorem of calculus asserts the interrelated properties of integration and differentiation. It says that a function when differentiated, can be brought back by integrating (anti-derivative) or a function when integrated, can be brought back by differentiation. First theorem: Let f be a function that is integrable on [a,x] for each x in [a,b], then let c be such that a≤c≤b and define a new function A as follows, A(x)=∫_c^x▒f(x)dt, if a≤x≤b. Then the derivative A’(x) exists at each point x in the…

* For the first one this is what I would do...okay so we have the original equation for the first one & based off that this is what I would do...I would discover f ( 2 ) by inserting x equals 2. f ( x ) equals 3x plus 2 f ( 2 ) equals 2 f ( x ) represents 3x plus 2 so the letter f which is the two would represent three which is now 3 ( 2 ) plus 2 equals 8 1 over f ( 2 ) equals 8 2 over f ^ - 1 ( 3 ) when f ( x ) equals 2x minus 7 over three. For this one what we want to do is discover f ^…

Story evaluation The story that will be evaluated is one entitled “Man was paid $2 500 to conceive a child with his neighbor’s beauty queen wife, but failed after 3 months trying”. Firstly, there is doubt in the story due to the source which is responsible for sharing the news. The source is a website known as 9GAG, which does not have any reputable evaluation system, and anyone is free to post a story he or she wants. However, judging by the comments on the post, many individuals assume the…

Intervention Description Joint Protection (JP) is a strategy for performing activities to minimise the amount of strain and pain throughout the joints being used (Goodacre & McArthur, 2013). Common barriers clients face when applying JP strategies are; information memorisation, fear of appearing disabled and the unwillingness to change lifelong habits. Studies indicate that addressing these barriers is imperative for increasing the effectiveness of JP (Hammond et al, 1999) (Niedermann et al,…

instructed the patient to avoid full weight bearing (WB) activity for at least 3-4 weeks. Furthermore a 4-6 month rehabilitation plan was prescribed following surgery to reduce pain, limit swelling, restore range of motion (ROM), and regain maximal function. The patient hopes to resume full basketball activity within 6 months post surgery and to prevent…

Materiality and Identity Megan Holmes’s “Miraculous Images in Renaissance Florence” examines many of the ramifications of materiality. The materiality, an image’s physical properties, has direct impacts on the expression and popularity of immagini miracolose. These sacred images are subjects of miracles throughout the late 13th to 16th centuries. Two of the most important ramifications of materiality include the accessibility of the religious images and manifestation of the miracles. In this…

1. What are the least, and most, amount of distinct zeroes of a 7th degree polynomial, given that at least one root is a complex number? Answer: If the equation is 7th degree then it has 7 roots. Those roots can be complex or real. Complex roots always come in pairs, so if it has one, then it has 2, the other one being the conjugate of the first one. This in other words, if one complex root is a + bi, then the other complex root is a – bi. If at least one root were complex, then we would have a…

Memory and personal identity are an integral part of our lives. These characteristics and traits assist us in the way we make decisions and approach situations. Memory in relation to personal identity is a topic that has been studied by several Philosophers. The question of whether or not memory presupposes identity is a circular one, and therefore makes this question important. To study this, I looked at Parfits theory of Psychological continuity, and how it was seen as problematic due to its…