Calculus (pleas help!!!)
posted by Eva .
Let f(x)=e^(2x)kx, for k greater than 0.
Using a calculator or computer, sketch the graph of f for k=1/9, 1/6,1/3,1/2,1,2,4. Describe what happens as k changes.
f(x) has a local minimum. Find the location of the minimum.
x= ____
Find the ycoordinate of the minimum.
y= _____
Find the value of k for which this ycoordinate is largest.
k= ______
How do you know that this value of k maximizes the ycoordinate? Find d^2y/dk^2 to use the secondderivative test.
d^2y/d^2k=
(Note that the derivative you get is negative for all positive values of k, and confirm that you agree that this means that your value of k maximizes the ycoordinate of the minimum.)
MY ANSWERS ARE=
Loc. min= 1
ycoordinate=1
k where y is largest= 2
d^2y/d^2k = 4e^(2x)
The only one I got right plugging in these values was k when y is largest...
Respond to this Question
Similar Questions

how to sketch a graph of..
Local minimum and local maximum imply that the function approaches negative and positive infinite at opposite sides of the graph. Local minimum (1,1) and local maximum (3,3) means the slope of the function is 0 at these points. Thank … 
one more graph question
Hopefull the last one. :) Sketch the graph of a differentiable function y = f(x) with this property: A local minimum value that is greater than one of its local maximum values 
Calculus Please Help
Let f(x)=e^(2x)kx, for k greater than 0. Using a calculator or computer, sketch the graph of f for k=1/9, 1/6,1/3,1/2,1,2,4. Describe what happens as k changes. f(x) has a local minimum. Find the location of the minimum. x= ____ Find … 
Calculus (pleas help!!!)
Let p(x)=x^2(a−x), where a is constant and a greater than 0. Find the local maxima and minima of p. (Enter your maxima and minima as commaseparated xvalue,classification pairs. For example, if you found that x=−2 was a … 
college Algebra
Let g(x) = x3  12x + 16. Find the location of the local minimum of this function (there is only one such location). Evaluate function g(x) at the xvalue of the ordered pair location of this local minimum. 
College Algebra
Let g(x) = x3  12x + 16. Find the location of the local minimum of this function (there is only one such location). Evaluate function g(x) at the xvalue of the ordered pair location of this local minimum. 
Calculus I
Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. 18. f(x) = 1/x , 1 < x < 3 I can graph it just fine, but for my answer I got that the function has none of the … 
calculus
How to sketch the graph of a differntiable function y = f(x) that has the given properties.Local minimum at (1,1) and local maximum at (3,3) 
Calculus 1
Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. (If an answer does not exist, enter DNE.) f(t) = 6 cos t, −3π/2 ≤ t ≤ 3π/2 
math
For positive a, b, the potential energy, U, of a particle is given by U = b (a^2 over x^2  a over x) for x is greater than 0 a) find the xintercept b) find the asymptotes c)compute the local minimum d) sketch the graph I don't know …