a) x'(y + 1) = 4y b) 8 cos(x ) sin(y) = y = c) x2 +y' = 1 = -X d) xly = 2x + 4y =(1 point) Find the equation of the tangent line to the curve In(xy) = 2x at the point (1, e2). Tangent line: y ={1 point} While the Saint Louis arch might seem to be a parabola, it is actually better approximated by a hyperbolic function of the form 3; = b acosh (i) . Assume it is given that the arch is 512 feet wide and 620 teet high, and the value of a is a : 98. (I) Find 1;. b: b) What is the equation of the tangent line to the Saint Louis arch when you are 34 feet from the center {to the right; i.e., the positive direction)? Tangent line; y = I ::: A 1.50g sample of pure sucrose is burned in a bomb calorimeter that has a heat capacity of 8.930 kJIC. The temperatu re of the water jacloet rises from 24.00 \"C to 26.77 \"C. ! Incorrect. What is E for the combustion of 1 mole of sucrose, C12H22011? n m... Hint Assistance Used Which equation relates temperature, energy, and heat capacity? I Incorrect. HOW many dietary Calories per gram does sucrose provide when metabolized? a new Hint Assistance Used 1 Cal = 4.184 kJ [1 point) {This problem is similar to workbook problem 3 in More Derivatives and lmplioit Differentiation) Find 3" in each of the following equations. a. If Iris:4 + 3y5 2 Q, then y' = I3. If 101:3; + CUE-(17y) = 53:, then '9" =