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13 Nov 2019
â Question Number 7
c. Using your answer to part b, find the exact slope of the tangent line at x-1. (Simplify your answer) 6, Find (xxx) dx Section 3.9 7. (Similar to 3.9 #36.) A bowl is in the shape of a portion of a hemisphere of radius 12 cm, with a flat circular bottom. (That is, the opening at the top of the bowl is 24 cm across.) The depth of the whole bowl is 10 cm. Water is being poured into the bowl at a rate of 30 cm/sec. How fast is the depth of the water changing when it is 2 cm deep? [You can use the fact that the volume of the water when it is at a depth of h cm is given by the formula V-x(44h +10hs_jh3), in cm".] How fast is the area of the top surface of the water in the bowl changing when the depth of the water is 2 cm? [You should work out a formula for the area of the circular surface of the water in terms of h, using geometry.] a. b. 8, (Exercise 3.9 #44) A lighthouse is located on a small island 3 km away from the nearest point
â Question Number 7
c. Using your answer to part b, find the exact slope of the tangent line at x-1. (Simplify your answer) 6, Find (xxx) dx Section 3.9 7. (Similar to 3.9 #36.) A bowl is in the shape of a portion of a hemisphere of radius 12 cm, with a flat circular bottom. (That is, the opening at the top of the bowl is 24 cm across.) The depth of the whole bowl is 10 cm. Water is being poured into the bowl at a rate of 30 cm/sec. How fast is the depth of the water changing when it is 2 cm deep? [You can use the fact that the volume of the water when it is at a depth of h cm is given by the formula V-x(44h +10hs_jh3), in cm".] How fast is the area of the top surface of the water in the bowl changing when the depth of the water is 2 cm? [You should work out a formula for the area of the circular surface of the water in terms of h, using geometry.] a. b. 8, (Exercise 3.9 #44) A lighthouse is located on a small island 3 km away from the nearest point
Collen VonLv2
6 Jul 2019