1a. h=-4.9t^2+450 1b. h(t)=-4.9t^2+450 (h(2)-h(0))/(2-0) ((-4.9(〖2)〗^2+450)-(-4.9(0)^2+450))/2 =(430.4-450)/2 =-19.6 ∴The average velocity for the first two seconds was 19.6 metres per second. c. i) i) = =-24.5 ∴ The average velocity from is 24.5 metres/s. ii) = -14.7 iii) = -12.25 ∴ The average velocity from is 12.25 metres/s. d) Instantaneous velocity at 1s: =-9.8 ∴ The instantaneous velocity
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in Turkey)‚ around 190 BC. Most of what we do about him comes from the books of other scholars who came after him‚ such as Ptolemy and Strabo. It seems likely that Hipparchus studied in Alexandria but spent his later life in Rhodes. Strabo‚ another Greek geographer writing about eighty years after Hipparchus’ death‚ describes him as “one of the famous men of Bithynia”. The astronomer Claudius Ptolemy‚ who extended some of Hipparchus’ work about two hundred and fifty years later‚ admired his hard work
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| | (0‚ ∞)Question 8 Find the largest open interval(s) where the function is Increasing y = x4 - 18x2 + 81Answer | | (-∞‚ 0) | | | (-3‚ 0) | | | (-3‚ 3) | | | (3‚ ∞) | Question 9 S(x) = -x3 + 6x2 + 288x + 4000‚ 4 ≤ x ≤ 20 is an approximation to the number of salmon swimming upstream to spawn‚ where x represents the water temperature in degrees Celsius. Find the temperature that produces the maximum number of salmon.Answer | | 8°C | | | 20°C | | | 4°C | | | 12°C |
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After taking calculus for nearly two semesters‚ I discovered that I loved that subject far more than I had anticipated. By the end of my first semester‚ I knew that I wanted to pursue a major that had calculus at its core; but I also wanted it to expand and complicate the material that I had already learn. After some thought‚ I realized that I would be committed and superfluously content to pursue a degree in physics. When I first took the subject itself in high school‚ I found myself intrigued
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EEE233 (SEM2-2012/13) TUTORIAL 1: PARTIAL DIFFERENTIAL EQUATIONS 1. Solve the following equations a) ∂2u∂x2=24x2(t-2)‚ given that at x=0‚ u=e2tand ∂u∂x=4t. b) ∂2u∂x∂y=4eycos2x‚ given that at y=0‚ ∂u∂x=cosx and at x=π‚ u=y2. 2. A perfectly elastic string is stretched between two points 10 cm apart. Its centre point is displaced 2 cm from its position of rest at right angles to the original direction of the string and then released with zero velocity. Applying
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Calculus in Medicine Calculus in Medicine Calculus is the mathematical study of changes (Definition). Calculus is also used as a method of calculation of highly systematic methods that treat problems through specialized notations such as those used in differential and integral calculus. Calculus is used on a variety of levels such as the field of banking‚ data analysis‚ and as I will explain‚ in the field of medicine. Medicine is defined as the science and/or practice of the prevention
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Section 1.2 (Page 87) (Calculus Book): 14‚ 23‚ 26‚ 29‚ 30‚ 31‚ and 32 14. limt→1t3+t2-5t+3t3-3t+2 =limt→1t3+t2-5t+3t3-t2+t2-t-2t+2 =limt→1t3-t2+2t2-2t-3t+3t2t-1+tt-1-2t-1 =limt→1t2t-1+2tt-1-3t-1t2+t-2t-1 =limt→1t2t-1+2tt-1-3t-1t-2t-1 =limt→1t-1t2+2t-3t-2t-1 =limt→1t2+3t-t-3t2+2t-t-2 =limt→1tt+3-1t+3tt+2-1t+2 =limt→1t+3t-1t+2t-1 =limt→1t+3t+2=1+31+2=43 23 limy→6y+6y2-36=limy→6y+6y+6y-6 ⟹limy→61y-6=16-6=10=undefined ∴limit doesn’t exist 26 limx→43-xx2-2x-8=limx→43-xx2-4x+2x-8=limx→4 3-xxx-4+2x-4
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Absolute cell reference | A cell reference that refers to cells by their fixed position in a worksheet; an absolute cell reference remains the same when the formula is copied. | Accounting Number Format | The Excel number format that applies a thousand comma separator where appropriate‚ inserts a fixed U.S. Dollar sign aligned at the left edge of the cell‚ applies two decimal places‚ and leaves a small amount of space at the right edge of the cell to accommodate a parenthesis for negative numbers
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Calculus can be implemented more into the medical field and help out with simple things such as the size determining the size of a tumor and calculating its growth rate. One could even calculating the correct dose of medication too prescribed To patients‚ so that they have the right ration for their bodies to absorb for the best treatment possible. Calculus is not required for medical however there are simple things that are easier to track and calculate using calculus the space patients having
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Calculus Cheat Sheet Derivatives Definition and Notation f ( x + h) - f ( x) . If y = f ( x ) then the derivative is defined to be f ¢ ( x ) = lim h ®0 h If y = f ( x ) then all of the following are equivalent notations for the derivative. df dy d f ¢ ( x ) = y¢ = = = ( f ( x ) ) = Df ( x ) dx dx dx If y = f ( x ) then‚ If y = f ( x ) all of the following are equivalent notations for derivative evaluated at x = a . df dy f ¢ ( a ) = y ¢ x =a = = = Df ( a ) dx x =a dx
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