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I çe y School Gümüşhane University Main Campus;In this section we will define the third type of line integrals we'll be looking at line integrals of vector fields We will also see that this particular kind of line integral is related to special cases of the line integrals with respect to x, y and z(1) Install "UnityCam" Broadcast > Boardcast > Click the option "Virtual Camera" Click the blue button install to install VUP virtual camera
Recall that r → (t) = cos t, sin t is a parameterization of the unit circle on 0 ≤ t ≤ 2 π;TXk i=1 w t) = t˙2 w Note di erent variations For example, some students may write Cov(x t k;x t) = (t k)˙ w 2 2 For each of the following, state if it is a stationaryT = x t 1 w t, where w tare white noise with variance ˙ w 2 Sol For k 0 and x 0 = 1, the autocovariance function is (t;t k) = Cov(x t;x tk) = Cov(Xt i=1 w t;
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\ y'' = f(t,y,y') \label{1}\ The general solution to such an equation is very difficult to identify Instead, we will focus on special cases In particular, if the differential equation is linear, then it can be written in the form \ P(t)y'' Q(t)y' R(t)y = G(t) \label{2} \ If \(P(t)\) is nonzero, then we can divide by \(P(t)\) to getO 8 F # 4 @ M 2 E Q % R T & 6 Z * N S $ 7 A Step 1 If a symbol is immediately preceded and followed by a letter then write it between 6 and Z Step 2 If a number is immediately preceded by a symbol and immediately followed by a letter then write it between M and 2Y = 2,500(1 04) 2 Plug in values y = 2,500(104) 2 Add the numbers in the parenthesis
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124 Apply the formula for surface area to a volume generated by a parametric curveThe annual growth rate is 3% per year, stated in the problem We will express this in decimal form as \(r = 003\) Then \(b = 1r = 1003 = 103\) Answer The exponential growth function is \(y = f(t) = 00(103^t)\) b After 5 years, the squirrel population is \(y = f(5) = 00(103^5) \approx 2319\) squirrelsY = C(1 r)t A population of 950 deer is decreasing by 32% every year How many deer will be left after 4 years?
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Exponential growth equation #1 – y = a(1 r) t ex Bob Industries bought a plasma for $2500 It is expected to appreciate at most 4% per year What will the plasma be worth in 2 years?2 8 , 1 9 8 8 , 102 Stat 385, p r o vi d e d t h a t " T h i s p a r t p a r t B ( § § 5 2 0 1 – 5 2 1 2 ) o f t i t l e V o f Pub L 100–297, e n a ct i n g t h i s ch a p t e r m a y b e ci t e d a s t h e ' Tr i b a l l y C o n t r o l l e d S ch o o l s A ct o f 1 9 8 8 'HalfLife Cesium137 has a halflife of 30 years Find the amount of cesium137 left from a 100milligram sample after 180 years Equation Growth or Decay?
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Where S= Y 1 C 1 and S = Y C Note that in a model without capital, the current account equals saving CA 1 = S 1The home and foreign saving depends on the interest rate The equilibrium interest rate ris the rate that makes S(r) = S(r) Home country will run a current account de cit and Foregin a sur1 ¬p 2 p ∨ r 3 q ∧ s 4 q ∨ s 5 q ⊕ s 6 q ⊕ r 1 True 2 False 3 True 4 True 5 False 6 True Match the following English definitions with correct propositions c I will return to college j I will get a job 1 Not getting a job is a sufficient condition for me to return to college 2 If I return to college, then I won'tIUPAC amino acid code Three letter code Amino acid A Ala Alanine C Cys Cysteine D Asp Aspartic Acid E Glu Glutamic Acid F Phe Phenylalanine G Gly
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) = u;u2 cos( );u2 sin( ) for 0 6 u6 1, 0 6 6 2ˇ This is the surface you get by rotating y= x2, 0 6 x6 1, around the yaxisIf the density at a point on this surface is given by 24x5 4x3, nd the mass Remark The density has been chosen so that a simple substitution can be used to evaluateWrite an equation relating x and y but without t and without square roots Write it so variable terms are on one side and any constant on the other sideCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history
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We don't see it, but there's a 1 there, times 100 In the second hour, 0965 to the second power, times 100 So in general, in the nth hour let me do this in a nice bold color in the nth hour, we're going to have 0965 to the nth power, times 100 left of our radioactive substance And oftentimes you'll see it written this wayGrowth/Decay Factor % of increase or decreaseHalfLife Cesium137 has a halflife of 30 years Find the amount of cesium137 left from a 100milligram sample after 180 years Equation Growth or Decay?
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Section 18 Tangent, Normal and Binormal Vectors In this section we want to look at an application of derivatives for vector functions Actually, there are a couple of applications, but they all come back to needing the first oneWe add 1 to the second component to shift the circle up one unit, then restrict the domain to π ≤ t ≤ 2 π to obtain only the lower half, giving r → 2 (t) = cos t, sin t 1 , π ≤ t ≤ 2 π, and henceLearning Objectives 121 Determine derivatives and equations of tangents for parametric curves;
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