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- Use the Trapezoidal Rule with n-6 to approximate. f(x)=sim2x.a=0,b=πA software developer notices that the number y of downloads of an app (in thousands) is related to the price x (in dollars) of the app by y = 2.6 - 0.4x. (a) Find R(x), the total revenue generated per night when the price of each room is x dollars. (b) Find the relative extremum of R, and interpret this result.A Tibetan monk leaves the monastery at 7:00 am and takes his usual path to the top of the mountain, arriving at 7:00 pm. The following morning, he starts at 7:00 am at the top and takes the same path back, arriving at the monastery at 7:00 pm. Use the Intermediate Value Theorem to show that there is a point on the path that the monk will cross at exactly the same time of day on both days.
- 1.Use the most precise formulas possible to approximate the values of the missing entries in the table: 2. Calculate the exact errors made in the previous Exercise and find the limits for the error, using the formula. f(x) = tg2xFind the length of y=e2x from x=0 to x=1.A Tibetan monk leaves the monastery at 7:00 am and takes his usual path to the top of the mountain, arriving at 7:00 pm. The following morning, he starts at 7:00 am at the top and takes the same path back, arriving at the monastery at 7:00pm. Use the Intermediate Value Theorem to show that there is a point on the path that the monk will cross at exactly the same time of day on both days.
- Please also solve for x to prove that g(x) intersects with f(x) at x = 2Use the false position method to find a root of the equation (e power x) +(2power −x) + 2cos x = 6 in the interval [1, 2] with stopping criterion (Es) = 0.005%show that the square of the length of subtangent at any point on the curve by2=(x+a)3(b is not equal to 0) varies with the length of the subnormal at that point.