Question DETAILSVectors A and B have the same nonzero magnitude (A = B), whereC = A + B and D=A-Bvectors.if the magnitude of C and D are the same , how are the directions of A and B related. Hint , sketch these vectors.The angle between À and B is: - Select DETAILS Vectors A and B have the same nonzero magnitude (A= B), where C = A + B vectors. The angle between A and B is: ---Select--- Submit Answer B), where C= A + B and D-A-B. If the magnitudes of C and D are the same, how are the directions of A and B related View Previous Question Question 8 of 10 View Next Question 3. DETAILS Vectors A and B have the same nonzero magnitude (A = vectors. The angle between A and B is -Select-- -Select- 0 Submit Answer between 0 and 90° 90* between 90 and 180° 180° B), where - A+B and D-A-B. If the magnitudes of C and View Previous Question Question 8 of 10 View Nex Home My Assignments Request Exter

3a. [4 marks] A longitudinal wave is travelling in a medium from left to right. The graph shows the variation with distance x of the displacement y of the particles in the medium. The solid line and the dotted line show the displacement at t=0 and t=0.882 ms, respectively. y/mm 4 1 1 2 1 1 11 1 1 o x/m 30 0.5 1/01 1 1.5 12.0 2,5 1 + 1 1 1 1 -2 1 1 1 1 The period of the wave is greater than 0.882 ms. A displacement to the right of the equilibrium position is positive. (i) Calculate the speed of this wave. (ii) Show that the angular frequency of oscillations of a particle in the medium is w=1.3x10°rads-1 3b. [4 marks] One particle in the medium has its equilibrium position at x=1.00 m. (i) State and explain the direction of motion for this particle at t=0. (ii) Find the speed of this particle at t=0.882 ms.

For the following exercises, find the surface area of the volume generated when the following curves revolve around the y-axis. If you cannot evaluate the integral exactly, use your calculator to approximate it. 199. y = x2 from x = 0 to x = 2

For the following exercises, find the lengths of the functions of y over the given interval. If you cannot evaluate the integral exactly, use technology to approximate it. 181. y = 5 - 3x from y = 0 to y = 4 – 4

C. Which of the following organisms are most closely related? Are any two the same species? On what did you base your answer? 2.0 A B D C Rod Rod Coccus Rod + + Fermentative Oxidative Fermentative Fermentative Characteristics Morphology Gram Reaction Glucose utilization Cytochrome oxidase GC moles % Present Present Absent Absent 48-52 23-40 50-54 49-53

For this week's discussion, you are asked to generate a continuous and differentiable function f (2) with the following properties: • f(x) is decreasing at x = -6 • f(x) has a local minimum at x = -3 • f (x) has a local maximum at x = 3 Hints: • Use calculus! • Before specifying a function f (2), first determine requirements for its derivative f' (2). For example, one of the requirements is that f' (-3) = 0. • If you want to find a function g(x) such that g(-9) = 0 and g(8) = 0, then you could try g(x) = (x + 9) (x – 8). • If you have a possible function for f' (2), then use the techniques in Indefinite Integrals this Module to try a possible f (x). You can generate a plot of your function by clicking the plotting option (the page option with a "P" next to your function input). You may want to do this before clicking "How Did I Do?". Notice that the label "f(2) =" is already provided for you. Once you are ready to check your function, click "How Did I Do?" below (unlimited attempts). Please note that the bounds on the x-axis go from -6 to 6. f(x) = How Did I Do? Try Another

. Explain which types of market inefficiencies derive from monopolies. Use examples from the textbook to support your claims. • Describe the types of inefficiencies that derive from monopolistic competition. Use examples from the textbook to support your claims. How are monopolies and monopolistic competitive firms profitable? Use examples from the textbook . Explain which types of market inefficiencies derive from monopolies. Use examples from the textbook to support your claims. • Describe the types of inefficiencies that derive from monopolistic competition. Use examples from the textbook to support your claims. How are monopolies and monopolistic competitive firms profitable? Use examples from the textbook to support your analysis.