Find the family of antiderivatives of d dt r(t) = t3, t − 3, t2 . (your instructors prefer angle bracket notation < > for vectors.) ⟨ 3t4 4t2 2−3t, t3 3⟩ + c1, c2, c3 find the unique parametrized curve that satisfies the initial condition r(0) = 2, 9, −13 . (your instructors prefer angle bracket notation < > for vectors.)

On new year's day, the average temperature of a city is 5.7 degrees celsius. but for new year's day 2012, the temperature was 9.8 degrees below the average. i) if a represents the average temperature on new year's day and 7 represents the temperature on new year's day 2012, what formula accurately relates the two values together? ii) what was the temperature on new year's day 2012? dt a 0.8 ii) - 4 1 degrees celsius da-t-98 ii) 59 degrees celsius 1) 7 = -9,8 11) 59 degrees celsius ii) l degrees celsius

Use the method of cylindrical shells to find the volume v generated by rotating the region bounded by the curves about the given axis.y = 7ex, y = 7e^-x, x = 1; about the y-axis

Ibeg you to me 20. a reaction produces 4.93 l of oxygen, but was supposed to produce 1 mol of oxygen. what is the percent yield?