Solve the application problem.A rectangular garden has dimensions of 23 feet by 18 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 510 square feet?
A. 7.5 ft
B. 5 ft
C. 6 ft
D. 7 ft
Answer: B
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Find the flux of the curl of field F through the shell S.F = -2x2yi + 2xy2j + ln zk ; S: r(r, ?) = r cos ?i + r sin ?j + 3rk, 0 ? r ? 3 and 0 ? ? ? 2?
A. - 81? B. - 36 C. 36 D. 36?
Solve the equation.-8.7 + x = 14.1
A. 22.3 B. 4.9 C. 22.8 D. 5.4
Solve the problem.For a cone, the formula r = 
describes the relationship between the radius r of the base, the volume V, and the height h. Find the volume if the radius is 10 inches and the cone is 4 inches high. (Use 3.14 as an approximation for ?, and round to the nearest tenth.)
A. 41.9 cubic in. B. 418.7 cubic in. C. 3768.0 cubic in. D. 104.7 cubic in.
Solve the problem.A piece of rectangular sheet metal is 36 inches wide. It is to be made into a rain gutter by turning up equal edges to form parallel sides. Let x represent the length of each of the parallel sides. For what value of x will the area of the cross section be a maximum (and thus maximize the amount of water that the gutter will hold)? If necessary, round to 2 decimal places.
A. 72 B. 144 C. 18 D. 9