A]®° = lim [A]"
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plz answer asap ..thnx
![Consider the following matrix
0.6 0.1 0.2
[A] =
0.4
0.4 0.1
%3D
0.0 0.8 0.4
with knowing one egienvalue )= 1. Calculate
[A]°
= lim [A]"](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff1c10743-2d78-4c02-9d3d-904cb37458ad%2F84f63cce-61d9-41dd-9ad7-08cae49f461b%2Fkfyuxfg_processed.png&w=3840&q=75)
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- If a (small) weight w is suspended from a spring, the length L of the stretched spring is a linear function of w. Find b and m in the formula L = mw + b if the unstretched spring has length 10" and a weight of 2 pounds stretches it to 22".Graph z(t) = 4eitThe pedals on a bicycle have a maximum height of 30 cm above the ground and a minimum height of 8 cm above the ground. Out for a ride, a cyclist pedals at a constant rate of 20 cycles per minute. Write an equation for this periodic function in the form y=asin(bt)+d AND explain in details how you got there.
- In a study conducted at Dartmouth College, mice with a particular type of cancerous tumor were treated with the chemotherapy drug Cisplatin. If the volume of one of these tumors at the time of treatment is V0 , then the volume of the tumor t days after treatmentis modeled by the function V(t) = V0(0.99e-0.1216t + 0.01e0.239t). Plot a graph of y = 0.99e-0.1216t + 0.01e0.239t, for 0 ≤ t ≤ 16,and describe the tumor size over time. Use Newton’s method todetermine when the tumor decreases to half of its original size.A coffee shop currently sells 470 lattes a day at $3.50 each. They recently tried raising the by price by $0.25 a latte, and found that they sold 50 less lattes a day. a) Assume that the number of lattes they sell in a day, N, is linearly related to the sale price, 'p' (in dollars). Find an equation for N as a function of p. N(p) = b) Revenue (the amount of money the store brings in before costs) can be found by multiplying the cost per cup times the number of cups sold. Again using p as the sales price, use your equation from above to write an equation for the revenue, R as a function of p. Rip) = c) The store wants to maximize their revenue (make as much money as possible). Find the value of è that will maximize the revenue (round to the nearest cent). which will give a maximum revenue of SThe temperature of a potato in an oven is currently 130°F and is increasing by 2.8 degrees per minute. a) Find the local linearization, L(z) of the temperature, x minutes from now. b) Use your answer from part a) to estimate the temperature of the yam after 3 minutes.
- The population be represented of rabbits in a forest over a 12-month span can by : r(t) = 1000-500sinThe Gateway Arch in St. Louis was designed by Eero Saarinen and was constructed using the equation y = 211.49 – 20.96 cosh(0.03291765x) for the central curve of the arch, where x and y are in meters and |x| < 91.20. (a) Graph the central curve. y y 200 200 150 150 100 100 50 50 X 100 - 50 50 100 -100 - 50 50 100 y y 200 200 150 150 100 100 50 50 -100 - 50 50 100 100 - 50 50 100A steel ball weighing 128 pounds is suspended from a spring. This stretches the spring 128/257 feet. The ball is started in motion from the equilibrium position with a downward velocity of 9 feet per second.The air resistance (in pounds) of the moving ball numerically equals 4 times its velocity (in feet per second) . Suppose that after t seconds the ball is y feet below its rest position. Find y in terms of t. (Note that this means that the positive direction for y is down.)
- Newborn blue whales are approximately 24 feet long and weigh 3 tons. Young whales are nursed for 7 months, and by the time of weaning they often are 58 feet long and weigh 19 tons. Let L and W denote the length (in feet) and the weight (in tons), respectively, of a whale that is t months of age. (a) If L and t are linearly related, express L in terms of t. (b) What is the daily increase in the length of a young whale? (Use 1 month = 30 days. Round your answer to three decimal places.) ________ ft/day (c)If W and t are linearly related, express W in terms of t. (d) What is the daily increase in the weight of a young whale? (Round your answer to three decimal places.) __________tons/dayD: (#0} I the following questions and write the answers on the paper and upload as single PDF. Q 1) Use a tble of functional values to evaluate: lim I-1Approximate f(4) for the following set of data using cubic spline: [0, 1], [3, 2], [8, 3]