Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Sketch the graph of f(x) =x(1-x) over[0,1] . Refer to the graph and, without making any computations, find:

a. The average rate of change over [0,1]

b. The instantaneous rate of change at x=1/2

c. The values of days at which the rate of change is positive.

Can someone help me? I need step by step directions.

Sagot :

[tex]f(x)=x(1-x)\\\\zeros:x=0\ and\ x=1\\\\vertex\ (x_v;\ y_v):\\\\x_v=\frac{0+1}{2}=\frac{1}{2}\\\\y_v=\frac{1}{2}(1-\frac{1}{2})=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}[/tex]


[tex]a)\\\frac{f(0)-f(1)}{0-1}=0\\\\b)\\ROC_{inst}(\frac{1}{2})=0\\\\c)\\(0;\ \frac{1}{2})[/tex]
View image Аноним
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.