The spread of a fungal infection in an ant colony can be modeled by dy/dt =(y + 1)/(2√t)
where t is the time in hours and y is the percent of the ants infected. At t = 1 only three percent of the ants are infected.

(a) Write an equation for the line tangent to the graph of y at t = 1. Use the tangent line to approximate the percentage of the colony infected at t = 1.2.

(b) Find y explicitly in terms of t.

In the surface area formula for cylinders which expressionrepresents the lateral area

Which recursive formula can be used to determine the total amount of money earned in any year based on the amount earned in the previous year? f(n+1)=f(n)+5

Aretha wanted to gather data about the cost of local bowling leagues in her area. she plotted the data and determined that the average bowling league costs consist of a one-time registration fee and a monthly fee modeled by the equation y = 15x + 20. identify and interpret the y-intercept in this model. the y-intercept is 20. this is the cost per month. the y-intercept is 20. this is the cost of registration. the y-intercept is 15. this is the cost of registration. the y-intercept is 15. this is the cost per month.