Is it true that a large integer m can be taken such that: 1 + 1/2 + 1/3 + ... +1/m > 100 ?
Can you hit the target functions using a set of input functions and a little calculus and algebra?
What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?
How would you sort out these integrals?
Generalise this inequality involving integrals.
Explore the intersection possibilities for normal pdfs.
Match the charts of these functions to the charts of their integrals.
Can you find the area of the central part of this shape? Can you do it in more than one way?
An inequality involving integrals of squares of functions.
Solve this integral equation.
By sketching a graph of a continuous increasing function, can you prove a useful result about integrals?
Estimate areas using random grids
Sort these mathematical propositions into a series of 8 correct statements.