7 Find the average value of the function over the given interval: F(x) = sec πx [0,2]6
8 A population of bacteria is changing at a rate of dP/dt = 3000 Where t is the time in days. The initial population when t = 0 is Write an equation that gives the population at any time t, and find the population when t =3
9 The formula C = 5/9(F-32) where F≥-459 The formula C = 5/9(F-32) where F≥ represents Celsius temperature, C as a function of Fahrenheit temperature, F.Find the inverse function of C.What does the inverse representWhat is the domain of the inverseIf C= 22° then what does F =
11 Find the equation of the tangent line to the graph at the given point: Y = xex – ex (1,0)
12 The value, V, of an item t years after it is purchased is V= 15,000e- The value, V, of an item t years after it is purchased is V= 15,000e-.6286t 0≤t≤10. Find the rate of change of V with respect to t when t=1 and t=5
14 A valve on a storage tank is opened for 4 hours to release a chemical in a manufacturing process. The flow rate R (in liters per hour) at time t (in hours) is given in the table:T1234R4252401187136Ln RUse regression capabilities of a calculator to find a linear model for the points (t, ln R). Write the resulting equation in the fom ln R=at + b in exponential form.Use a definite integral to approximate the # of liters of chemical released during the 4 hours.
17 In a group project in learning theory, a mathematical model for the proportion P of correct responses after n trials was found to be: P = .861+e-.25nFind the limiting proportion of correct responses as n approaches ∞b) Find the rates at which P is changing after n = 3 and n= 10 trials
18 Find the derivative :Y = ½[ x √4-x² + 4 arcsin (x/2)]Y = 25arcsin (x/5) - x√25 - x²
19 An airplane flies at an altitude of 5 miles toward a point directly over an observer. Consider Θ and x as shown in the figure:Write Θ as a function of x.The speed of the plane is 400 mph. Find dΘ/dt when x = 10 miles and x = 3 miles
Your consent to our cookies if you continue to use this website.