The volume (in m3) of water in my (large) bathtub when i pull out the plug is given by f(t)=4−t2 (t is in minutes). this formula is only valid for the two minutes it takes my bath to drain.
(a) find the average rate the water leaves my tub between t=1 and t=2
(b) find the average rate the water leaves my tub between t=1 and t=1.1
(c) what would you guess is the exact rate water leaves my tub at t=1
(d) in this bit h is a very small number. find the average rate the water leaves my tub between t=1 and t=1+h (simplify as much as possible)
(e)
what do you get if you put in h=0 in the answer to (d)?

Someone answer this asap rn for ! a discount store’s prices are 25% lower than department store prices. the function c(x) = 0.75x can be used to determine the cost c, in dollars, of an item, where x is the department store price, in dollars. if the item has not sold in one month, the discount store takes an additional 20% off the discounted price and an additional $5 off the total purchase. the function d(y) = 0.80y - 5 can be used to find d, the cost, in dollars, of an item that has not been sold for a month, where y is the discount store price, in dollars. create a function d(c(x)) that represents the final price of an item when a costumer buys an item that has been in the discount store for a month. d(c(x)) =