Let (t)=⟨t2,1−t,4t⟩r(t)=⟨t2,1−t,4t⟩. Calculate the derivative of (t)⋅(t)r(t)⋅a(t) at t=2t=2, assuming that (2)=⟨2,5,−3⟩a(2)=⟨2,5,−3⟩ and ′(2)=⟨4,−3,9⟩

Problem situation: caren is making rice and beans. she can spend no more than $10 on ingredients. she buys one bag of rice for $4.99. beans cost $0.74 per pound. how many pounds of beans, x, can she buy? inequality that represents this situation: 10≥4.99+0.74x drag each number to show if it is a solution to both the inequality and the problem situation, to the inequality only, or if it is not a solution.