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

Type the correct answer in each box. use numerals instead of words. amanda is placing an order for running shoes and leather boots for her footwear boutique. she needs a total of 48 pairs of shoes and twice as many pairs of running shoes as leather boots. set up the two equations that can be used to find the number of each type of shoe that amanda needs to order. let the equation that represents the total number of pairs of shoes be referred to as constraint 1. let constraint 2 refer to the equation that describes the ratio of the number of running shoes to leather boots.