Question A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 1.1 ft/s, how fast is the angle between the ladder and the ground changing when the bottom of the ladder is 6 ft from the wall? (That is, find the angle's rate of change when the bottom of the ladder is 6 ft from the wall.) rad/s wall 10 y ground

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

Identify the planes that are perpendicular. O x-12y = 6,-11x – 232 = 2 14 O x+12y = 6, -11x - y - 23z = 2 O x + 12y-z = 6.-11x – 1 – 232 = 2 O x + 12y = 6.-11.x - 237 = 2 O 12x - y - z= 6.-11x + y - 23z = 2

find the surface Let f(x)=√x over the interval [1, 4]. Find the surface area of the surface generated by revolving the graph of f (x) about the x-axis. Round your answer to two decimals. YA 4- 3+ f(x)=√x 3+ f(x) = √x 2+ 2+ 1 1 6 X 이 -1 6 x -2 + -3+ -4 -2 O -1- -2+ -3+ 1 2 3 сл+ 4 5 -2 -1 1 1 1 1 2 3 4 5 삼

Determine the x-and y-coordinates of the centroid of the shaded area. Assume c = 6, a = 1.10, b = 1.90. = y 1 1 1 x 3 y=1+ © с ob- --X a b Answer: (1,5) = ( Locate the centroid of the shaded area. Set b= 0.40 a. y | *=a(1-1 y2 62 b * a Answer: (Ă, y) = ( Determine the x-and y-coordinates of the centroid of the shaded area. у | a | y = k2v x 1.20 a y = k123 Answers: (1. y) =(

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.