Tính các đạo hàm riêng cấp 2 của hàm số
f(x, y) = x sin(x
2 + 3y) + ln(x + 2y).

Consider a bag that contains 220 coins of which 6 are rare indian pennies. for the given pair of events a and b, complete parts (a) and (b) below. a: when one of the 220 coins is randomly selected, it is one of the 6 indian pennies. b: when another one of the 220 coins is randomly selected (with replacement), it is also one of the 6 indian pennies. a. determine whether events a and b are independent or dependent. b. find p(a and b), the probability that events a and b both occur.

Which of the following represents the factorization of the trinomial below? x^2+7x-30

Linda and ralph have signed a contract to purchase a home. the closing date is april 27, and the buyer owns the property on the day of closing. the selling price of the home is $782,500. linda and ralph obtained a fixed-rate mortgage from a bank for $685,000 at 7.35% interest. the seller has already paid $14,578.15 in property taxes for the coming year. how much will linda and ralph owe in prorated expenses? (3 points) $64,925.65 $34,347.06 $10,496.82 $9,945.06