Consider the function y = 8x + 5 between the limits of x = 1 and x = 6. Find the arclength L of this curve: L= Round your answer to 3 significant figures. Find the area of the surface of revolution, A , that is obtained when the curve is rotated by 27 radians about the T-axis. Do not include the surface areas of the disks that are formed at x = 1 and x = 6. A Round your answer to 3 significant figures.

Surface area of a cylinder and sphere Find the surface area of the followingsurfaces.a. A cylinder with radius a > 0 and height h (excluding the circular ends)b. A sphere of radius a

ome-Polaris laris.aisd.net/student/studentformative/ Online Tools 10 m 16.5 m 8 m 5 m What is the lateral surface area of the prism in square meters? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. Answer Record your answer in the boxes below. Be sure to use correct place value. +/- Technologies Inc. C.2021 Polaris

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Question 17 of 18 The height of a right circular cylinder is 1.5 times the radius of the base. What is the ratio of the total surface area to the lateral (curved) surface area of the cylinder? (А) 3:2 в) 4:1 c) 5:3 D 5:2 E) 7:4

3. DETAILS Let S be a triangle with area 7 in the plane z = 6y + 2, oriented upwards. Use this S to answer the questions below. (a) Find the area vector, A, for the surface S. A = (b) Find 127 CA =

Surveying a bluff A surveyor, using a transit, sights the edge B of a bluff, as shown in the left part of the figure (not drawn to scale). Because of the curvature of Earth, the true elevation h of the bluff is larger than that measured by the surveyor. A cross-sectional schematic view of Earth is shown in the right part of the figure. (a) If s is the length of arc PQ and R is the distance from P to the center C of Earth, express h in terms of R and s. (b) If R = 4000 mi and s = 50 mi, estimate the elevation of the bluff in feet. Exercise 77 B B p Line of sight P h P IR R °C