A spring of stiffness $k$ supports a box of mass $M$ in which is placed a block of mass $m$. If the spring is pulled downward a distance $d$ from the equilibrium position and then released, find the force of reaction between the block and the bottom of the box as a function of time. For what value of $d$ does the block just begin to leave the bottom of the box at the top of the vertical oscillations

In 2018, laureen is currently single. she paid $2,800 of qualified tuition and related expenses for each of her twin daughters sheri and meri to attend state university as freshmen ($2,800 each for a total of $5,600). sheri and meri qualify as laureen’s dependents. laureen also paid $1,900 for her son ryan’s (also laureen’s dependent) tuition and related expenses to attend his junior year at state university. finally, laureen paid $1,200 for herself to attend seminars at a community college to her improve her job skills. what is the maximum amount of education credits laureen can claim for these expenditures in each of the following alternative scenarios? a. laureen's agi is $45,000.b. laureen’s agi is $95,000.c. laureen’s agi is $45,000 and laureen paid $12,000 (not $1,900) for ryan to attend graduate school (i. e, his fifth year, not his junior year).