Sunday

February 1, 2015

February 1, 2015

Posted by **Eva** on Wednesday, April 6, 2011 at 10:43pm.

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 y-coordinate of the minimum.

y= _____

Find the value of k for which this y-coordinate is largest.

k= ______

How do you know that this value of k maximizes the y-coordinate? Find d^2y/dk^2 to use the second-derivative 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 y-coordinate of the minimum.)

MY ANSWERS ARE=

Loc. min= 1

y-coordinate=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...

- Calculus Please Help -
**Eva**, Wednesday, April 6, 2011 at 10:48pmOh... I got them... thanks anyways...

**Answer this Question**

**Related Questions**

Calculus (pleas help!!!) - Let f(x)=e^(2x)-kx, for k greater than 0. Using a ...

Algebra - Use a graphing calculator or a computer to graph the system of ...

Calculus Please Help - A) If x^2+y^3−xy^2=5, find dy/dx in terms of x and...

calculus 1 - If you can program a calculator or computer, estimate the length of...

Math(module 4 Calculus) - (Graphing Calculator)Sketch the graph of the function ...

algebra I - for my homework I have to graph 4 equations: 1. y=1/4x^2+3x-3 2. y=-...

Calculus Help Please Urgent!!! - a) Estimate the area under the graph of f(x)=7+...

math - geometry - Austin wants to sketch the graph of a circle represented by ...

Calculus - a) Estimate the area under the graph of f(x)=7+4x^2 from x=-1 to x=2...

Calculus I - Sketch the graph of f by hand and use your sketch to find the ...