Question 3 (5 points) A cylindrical paint can with a radius of r and a height...
4. A cylindrical silo with a hemisphere top has a surface area, A= 2nrh+37r, where r is the radius of the cylindrical base and the radius of the hemisphere and h is the height of the cylindrical base. The height is measured to be 30 m with a possible error in measurement of 0.2 m and the radius is measured at 5 m with a possible error of 0.1 m. Use differentials to estimate the largest possible relative error when...
3. This problem revisits the question from Problem Set I about finding the dimensions of a one-liter can that will have the minimum cost. We will now approach it using calculus methods. In class, we found the dimensions of a right circular cylinder (a “can") that has a volume of 1,000 cm3 using the minimum possible material. This assignment changes that problem slightly by seeking the minimum cost for a right circular cylinder whose volume is 1,000 cm3 where the...
0, + -/5 points Tipler6 22.P.049 A cylindrical shell of length 240 m and radius 4 cm carries a uniform surface charge density of σ 14 nC/m. (a) What is the total charge on the shell? nC Find the electric field at the ends of the following radial distances from the long axis of the cylinder. (b)r- 2 cm N/C (c) r 3.9 cm N/C (d) r4.1 cm N/C (e) r = 8 cm N/C eBook
Revised by Prof. Kostadinov, Fall 2015, Fall 2014, Fall 2013, Fall 2012, Fall 2011, Fall 2010 Revised by Prof. Africk and Prof. Kostadinov Fall 2015, Spring 2016, #1 Identify the horizontal and vertical asymptotes of the following functions using the limit definitions: 2x2 o) yA- #2 Find the derivatives of the following functions using the definition of derivative: a) f(x)-2x-5x #3 Find the derivative v dr of the following functions, using the derivative rules: b) f(x)--2x +3x-4 #4 Find the...
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1. (10 points) A cylindrical can has a height of 15 mm and an initial radius of 16 mm. The volume of the cylindrical can is decreasing at a rate of 541 cubic mm per minute, with the height being held constant. What is the rate of change, in mm per minute, of the radius when the radius is 3 mm? Remember to include a negative sign if the radius is decreasing. 2. (10 points) Use a...
Question 4 10 pts Find the total surface area of the prism. 9 ft 5 ft 4 ft 3 ft D Question 5 10 pts Allison is planning to cover the lateral surface of a large cylindrical garbage can with decorative fabric for a theme party. The can has a diameter of 3 feet and a height of 3.5 feet. How much fabric does she need? Round to the nearest square foot. 123 ft 61 ft 33 ft 66ft Question...
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2 points Save Answer QUESTION 79 Find the volume of a cylinder with height 14 cm and diameter 12 cm. 549.78 cm3 2199.12 m2 1099,56 cm3 1583.38 cm3 2 points Save Answer QUESTION 80 Find the radius of a cylinder with a volume of 470.48 feet and height of 6.5 feet. 4.8 ft 4.6 ft 6.4ft 3.9 QUESTION 81 2 points Save Answer The surface area of the pyramid with square base that measures...
Lueslon Help Apiston is seated at the top of a cylindrical chamber with radius 2 cm when it starts moving into the chamber at a constant speed of 5 cms (see figure) What is the rate of change of the volume of the cyinder when the piston is 18 om from the base of the chamber? 2 m Piton Let V.r and h be the volume, radius and height of a eylinder, respectively Write an equation relating V, , and...
QUESTION 1 1. Using the West nomogram, determine the body surface area (BSA) for a child with the height and weight given. 170 cm and 50 kg: _ 1.75 m2 C 1.45 C 1.65 C 1.55 0.5 points QUESTION 2 1. Round dosage and weight to the nearest tenth as indicated. Use labels where provided
4.2.47-GC Question Help The exact area of a semicircle of radius r can be found using the formula A-x. Approximate the area under the graph of fx)- 16-x2 using 10 rectangles. Compare the approximation with the exact area Note that most calculators do not show entire semicircles. Use the left endpoints to find the height of the rectangles The approximate area is Round the final answer to the nearest hundredth. Round all intermediate values to the nearest thousandth.)
4.2.47-GC Question...