Given a constant theme(有了不变得主题）中的given是什么词性,放在句首表示什么?

Given a constant theme(有了不变得主题）中的given是什么词性,放在句首表示什么? 一道数学题.英文版的!Given that the equation kx²+12x+k=0,where k is a positive constant ,has equal roots ,find the value of k 英文的物理题 When the temperature is constant.the pressure of a given mass varies inversely as the volume.Given that the pressure is 8kPa when the volume is 150cm^3,the pressure if the volume is 100cm^3 is A.16kPa B.18kPa C.24kPa D.24kPa先翻 英语翻译Wave speed in a mediumThe speed of a mechanical wave is constant in a given ,medium .The speed depends only on the properties of that medium .If the frequency of a wave in a given medium is changed ,then the wavelength is changed .Figure Development is the constant Constant dropping wears the constant ping wears the A biologist studying fluctuations in the size of a particular population decides to investigate a model for which dp/dt=kPcoskt,where P is the size of the population at time t days and k is a positive constant.(a) Given that p=P₀ when t=0,expre sat化学题given the hypothetical reaction 2A+B=C+3D ,the equilibrium constant for this reaction is I.directly proportional to the concentration of D cubed.II,inversely proportional to the concentration of A.III.inversely proportional to the concent sat which of the following compounds is isoelectronic with co(carbon monooxyde) a.H2b.Cl2c.N2d.CO2e.NO2为什么?given the hypothetical reaction 2A+B=C+3D ,the equilibrium constant for this reaction is I.directly proportional to the concentration of 两道AP微积分题..1 the volume of a cone of radius r and height h is given by V=1/3πr^2 if the radius increase at a constant rate of 1/2 centimeter per second,at what rate,in cubic centimeters per second,is the volume increasing when the height The transfer function of a servomechanism is given by the complex number G=1/(1+jωT).Determine the modulus and argument of G whenω=2.5and T=0.4还有两个问题Factorize x^2-xsinθ+1 in the complex domain ( θ is constant)Find the locus of z in te 英语翻译The total daily cost c,in dollars,of producing x units of a certain product is given by the function c(x)=k/5,where k is a constant (4x+1200)/x.If 20 units were produced yesterday for a total cost of $640,what is the value of 答案是50, SAT og 3道数学题,the total daily cost c,in dollars ,of producing x units of a certain prduct is given by the function c(x)5(600x-200)/x1k,where k is a constant and x#100.if 20 units were prducud yesterday for a total cost of $5640,what is the val the given constant Constant dropping wears the stone. Constant dropping wears the stone.