Suppose you need to know an equation of the tangent plane to a surface S at the point P(2; 1; 3). You don't have the equation for S but you know that the curves r1(t) = h2 + 3t; 1 t2; 3 4t + t2i r2(t) = h1 + t2; 2t3 1; 2t + 1i both lie on S. Find the equation of the tangent plane at P.

Kapil needed to buy a long wooden beam. he went to two sawmills that each charge an initial fee plus an additional fee for each meter of wood. the following equation gives the price (in dollars) of a wooden beam from the first sawmill as a function of its length (in meters). p = 5+20xp=5+20x

33% of college students say they use credit cards because of the rewards program. you randomly select 10 college students and ask each to name the reason he or she uses credit cards. find the probability that the number of college students who say they use credit cards because of the rewards program is (a) exactly two, (b) more than two, and (c) between two and five inclusive. if convenient, use technology to find the probabilities.

With both problems. a.s.a.p directions on photo ^