Question A force with magnitude 25 N acts directly upward from the xy-plane on an object with mass 5 kg. The object starts at the origin with initial velocity v(0) = i − j. Find its position function and its speed at time t. r(t)= absolute value of v(t)=

please answer the questions 4 Find the interval of convergence of n=0∑∞​n!(−6)n​(x+10)n (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (∗,∗). Use the symbol ∞ for infinity, ∪ for combining intervals, and an appropriate type of parenthesis " (", ") ", " [" or "] " depending on whether the interval is open or closed.) Find the interval of convergence. n=2∑∞​(nln(n))2(x+2)n​ (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (∗,∗). Use the symbol ∞ for infinity. Use an appropriate type of parenthesis "(", ")", "["or "]" depending on whether the interval is open or closed.) Find the interval of convergence. n=2∑∞​(nln(n))2(x+2)n​ (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol ∞ for infinity. Use an appropriate type of parenthesis "(", ")", "["or "]" depending on whether the interval is open or closed.)

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.