these 3 questions, thank you so much.

FinalExam: Problem 4 Previous Problem Problem List Next Problem (12 points) Let _ be the region in the first octant of IR (that is, where > > 0, y > 0, > > 0) bounded by the surfaces y = x', 2x + z =4, y =0, and z = 0. Write the triple integral |/ f(, y, 2) dV as an iterated integral in the following three orders of integration. Enter your answers so that the lower limits of integration are less than or equal to the upper limits. f(x, y, z) dzdydr f(x, y, z) dy dr dz f(x, y, z) dx dzdyFinalExam: Problem 8 Previous Problem Problem List Next Problem (8 points) A bird is flying southwest. When the bird is a kilometers east and y kilometers north of the city of Vancouver its height, in meters above sea level, is given by h(x, y) = 1750 + 50x + 75y. The bird is flying at a constant speed of c kilometers per hour. (a) What is the rate of change of the height of the bird with respect horizontal distance (in vertical meters per horizontal kilometer)? rate = (b) What is the rate of change of the height of the bird with respect to time (in kilometers per hour)? Your answer may depend on c. rate = Hint: Pay attention to units, and remember that the velocity of the bird is a 3-dimensional vector. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 3 attempts remaining Email instructorFinalExam: Problem 9 Previous Problem Problem List Next Problem (10 points) Consider the surface S defined by the equation x2 + yz = e". This surface contains the point P = (1, 1, 0); you do not have to prove this. (a) Determine the equation of the tangent plane to the surface S at the point ; your answer should be in standard form. Answer: the plane has equation (b) The surface defined by the equation z = 2 + yz - 0 intersects the surface S in a curve C. Find parametric equations for the line tangent to C at the point ; your answers should be functions of the variable t. Enter your answer so that the coefficient of t in the equation for z is one. (That is: your correct answer should have the form z = t + c for some real number c.) Answer: the parametric equations are y = , and 2 = Preview My Answers Submit Answers You have attempted this problem 0 times You have 3 attempts remaining Email instructor