Math 1325_Exam3eview 1 to 16.pdf - Exam 3 Review Provide an...

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Exam 3 ReviewProvide an appropriate response.1)Evaluate dy/dt for the function at the point. x3+y3=9; dx/dt = -3, x =1, y 1)2)Assume x =x(t) and y =y(t). Find dxdtif x2(y -6) =12y +3 and dydt=2 when x y =12.2)3)Identify the intervals where f(x) is decreasing.=2=5 and3)4)ƍIdentify the intervals where f (x) >0.4)5)Determine the intervals for which the function f(x) =x3+18x2+2, is decreasing.5)6)Determine the interval(s) where f(x) =x2x -3is decreasing.6)7)Given f(x) =x +16x, x <0, find the values of x corresponding to local maxima and localminima.7)8)Use a graphing utility to approximate where the local extrema of the functionf(x) =x4-3x3-2x2+5x are to two decimal places.8)9)Use the first derivative test to determine the local extrema, if any, for the function:f(x) =3(x -4)2/3+9)6.1
10)Find the critical values and determine the intervals where f(x) is increasing and f(x) isdecreasing if f(x) =1 +3x+x2.10)Solve the problem.11)The percent of concentration of a certain drug in the bloodstream x hr after the drug isadministered is given by K(x) =3xx2+ 16. How long after the drug has been administered is2

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