Using Regression Functions

Demonstrate using regression functions by explaining what a regression function is and the factors which should be considered when interpreting results.

Integration: Standard Partition, Integrable over a Range

Questions on integration, see attachment.

differentiation analysis

I want to prove, for the numbers a and b, that the following equation has exactly three solutions if and only if 4a^3 + 27b^2 < 0: x^3 + ax + b = 0, x in R

differentiation analysis

If I let the function f:R->R have two derivatives with f(0)=0 and f'(x) <= f(x) for all x in R. Is f(x)=0 for all x in R?

differentiation analysis

If I let the function f:R->R have two derivatives with f(0) = 0 and f'(x) <= f(x) for all x in R. Is f(x) = 0 for all x in R