Finding the slope and other various characteristics of a line.

Given the points (3,7) and (-1, 3), find the slope of the line containing these 2 points, find the distance between these 2 points and find the midpoint.

Find the derivative of a quadratic polynomial.

Use the (limit) definition of the derivative to find the derivative of f(x)=3x^2-2x+1?

Working with initial value problems.

Solve the initial value problem: d²y/dx²= sec²x y(0)=0 and y'(0)=1

overview of geometric applications for calculus

I need an overview of geometric applications for calculus

Understanding the concept of calculus.

What is calculus and how does it work?

What am I doing when I take the derivative of a function?

The idea of the derivative is explained using the function x^2.

Need help finding solutions to HW

1. The manager of a large apartment complex knows from experience that 80 units will be occupied if the rent is 320 dollars per month. A market survey suggests that, on the average, one additional unit will remain vacant for each 8 dollar increase in rent. Similarly, one additional unit will be occupied for each 8 dollar decreas ...continues

What am I doing when I integrate a function? (with no numbers at the top and bottom of the integration symbol)

Integration is explained using the example Sx^2dx.

Please explain the formal epsilon-delta definition of the limit.

The formal definition of the limit is explained using the example lim x->5 2x = 10.

Show me how to use the definition of the derivative.

The process of working with the definition of the derivative is shown using the example f(x)=3x-6.