a)Find the value or values of c that satisfy the equation
f(b)-f(a)/b-a = f′(c)in the conclusion of the Mean Value Theorem
for the function and interval. Round to the nearest thousandth.
f(x) ln(x-3), [4,7]
b)Suppose that
c(x)=3x^3-40x^2+6844x is the cost of manufacturing x items.
Find a production level that will minimize the average cost of
making x items.
c)A rectangular field is to be enclosed on four sides with a
fence. Fencing costs $6 per foot for two opposite sides,...
Find the equation of the regression line for the given data.
Round values to the nearest thousandth.
x=-5,-3,4,1,-1,-2,0,2,3,-4
y=11,-6,8,-3,-2,1,5,-5,6,7
OPTIONS
= 0.206x - 2.097
= -2.097x + 0.206
= 2.097x - 0.206
= -0.206x + 2.097
An equation of motion is given, where s is in meters and t in
seconds. Find (a) the times at which the acceleration is zero, and
(b) the velocity at these times. t^4-10t^3+36t^2+2
Let X1,...,Xn be i.i.d. N(θ,1), where θ ∈ R is the
unknown parameter.
(a) Find an unbiased estimator of θ^2 based on
(Xn)^2.
(b) Calculate it’s variance and compare it with the Cram
́er-Rao lower bound.