


Chapter 11, Review Exercises, Question 015 (a) Find the area of the triangle with vertices A...
Chapter 15, Review Exercises, Question 017 Use Lagrange multipliers to find the maximum and minimum values of f (x, y, z) = x² – 18y+ 2022 subject to the constraint x2 + y2 + z2 = 1, if such values exist. Enter the exact answers. If there is no global maximum or global minimum, enter NA in the appropriate answer area. Maximum = Minimum =
Chapter 5, Review Exercises, Question 013 x Evaluate the integral ✓ dx by making the substitution u = x - 6. (1x2 - 6x4 - 12x2 Enter the exact answer. Ir-ore- dx = ? Edit +C (x2 - 6V4 – 12x2
Chapter 5, Review Exercises, Question 001 Convert the equation Q = 14e-6f to the form Q = ab'. Round your answer for b to three decimal places. Q = ? Edit Edit a=
4. Find the area of the triangle ABC if A = (3,2), B = (4,2), C = (1,0). 21 1, z = [0] 3 5. Find the volume of the parallelepiped built on ai = and ag = 2 in 111 R?
Chapter 3, Review Exercises, Question 036 Find the derivative of the given function. g(x) = arctan(8x2 + 6) 9 (x) = 2 Edit Luapter 3, Review Exercises, Question 043 Find the derivative of the given function. y = 3* + 2 y 12 Edit Click if you
Chapter 15, Section 15.3. Question 015 Confirm that the force field F is conservative in some open connected region containing the points Pand and then find the work done by the force field on a partide moving along an arbitrary smooth curve in the region from Pto Fix,y) = xy + y): 7.9.068,0) Enter the exact answer as an improper fraction, if necessary W- Edit
Q1. Given the points A: (0,0,2), B: (3,0,2), C: (1,2,1), and D: (2, 1,4 a) Find the cross product v - AB x AC. b) Find the equation of the plane P containing the triangle with vertices A, B, and C c) Find u the unit normal vector to P with direction v d) Find the component of AD over u and the angle between AD and u, then calculate the volume of the parallelepiped with edges AB, AC, AD...
Part c and d
Question 5 (30 marks) Let A1, B(3,-5,0) and C(-1,4,1) be three points in R. Use vector method(s) to solve each of the following. R-8 (a) Find the unit vector u in the direction of AB-3AC. (b) Calculate the smaller angle betwen AB and AC. Correct the answer to ONE decimal place. (c) Find the shortest distance between B and the line passing through A and C. Correct the answer to ONE decimal place. (Hint: Consider the...
Chapter 11 Review Exercises Answer the following questions. 1. True or False: The average length of stay (LOS) in an LTCH must be greater than 25 da 2. True or False: An LTCH typically has fewer secondary diagnoses than a short-term acute. care hospital 3. LTCHs specialize in treating which type of patient? a. Medically complex and ventilator-dependent patients b. Psychiatric patients c. Outpatients d. Medically simple cases requiring limited therapy
Chapter 5, Section 5.3, Question 004 Find the area between y = x + 12 and y = 2x + 3 between x = 0 and x = 2. Enter the exact answer. Area =