Find all x values for which the function y = x^3 + 6x^2 + 3x +...
Find all x values for which the function y = x^3 + 6x^2 + 3x + 7
has a horizontal tangent line. Find the derivative of f(x) using
the definition for a limit.
For the function f(x) = x^2 +3x / 2x^2 + 6x +3 find the
following, and use it to graph the function.
Find: a)(2pts) Domain
b)(2pts) Intercepts
c)(2pts) Symmetry
d) (2pts) Asymptotes
e)(4pts) Intervals of Increase or decrease
f) (2pts) Local maximum and local minimum values
g)(4pts) Concavity and Points of inflection and
h)(2pts) Sketch the curve
Find the maximum and minimum values of the function
f(x,y,z)=3x−y−3z subject to the constraints x^2+2z^2=49 and
x+y−z=9. Maximum value is Maximum value is , occuring at
( , , ). Minimum value is , occuring at ( , ,
).
z=26x-3x^2+5xy-6y^2+12y
subject to 3x+y=170
a- Find the critical values at which the following
function will be optimized subject to the given constraints. b-
estimate the effect on the value of the objective function from a
one unit change in the constant of the constraint.
Consider the function q(x)=x^11−3x^10+2. Find the x-coordinates
of all local maxima. If there are multiple values,
give them separated by commas. If there are no local maxima, enter
∅.
1. Determine the absolute minimum and maximum values of the
function f(x) = x^3 - 6x^2 + 9x + 1 in the following
intervals:
a) [0,5]
b) [-1,2]
2. A company produces and sells x number of calculators per
week. The functions for demand and cost are the following:
p = 500 - 0.5x and c(x) = 10,000 + 135x.
Determine:
a) Function of weekly revenue
b) Price and number of calculators that have to be sold to
maximize revenue...
For the function f(x) = x^2 +3x / 2x^2 + 7x +3 find the
following, and use it to graph the function.
Find: a)(2pts) Domain
b)(2pts) Intercepts
c)(2pts) Symmetry
d) (2pts) Asymptotes
e)(4pts) Intervals of Increase or decrease
f) (2pts) Local maximum and local minimum values
g)(4pts) Concavity and Points of inflection and
h)(2pts) Sketch the curve