I need help solving these problems please, it is for my Brief Calculus class at ASU.

6 . * - 17 points Wane FMACT 12.5. 016. My Notes + Ask Your Teacher The top of a 30 - Foot ladder is sliding down a wall at a rate of 10 feet per second . How Fast is the base of the ladder sliding away from the wall at the instant when the top of the ladder is 18 Feet from the ground ? HINT [ SEE Example 2. ] Ft / 5 Need Help ?" Read It 7 . + - 1 1 points Wane FMACT 12.5. 030 \\\\ My Notes + Ask Your Teacher The automobile assembly plant you manage has a Cobb - Douglas production function given by' P = 30 x 0. 5 0. 5 where ? is the number of automobiles it produces per year ,* is the number of employees , and & is the daily operating budget ( in dollars ) . Assume that you maintain a constant work Force of 170 workers and wish to increase production in order to meet a demand that is increasing by 70 automobiles per year . The current demand is 1 100 automobiles per year . How fast should your daily operating budget be increasing ? HINT [S'RE Example 4 . ] ( Round your answer to the nearest cent . ) $ per year Need Help ?\\ Read ItThe radius of a circular puddle is growing at a rate of 20 cmjsec. (a) How fast ls Its area growing at the instant when the radius is 40 centimeters? HINT [See Example 1.] (Round your answer to the nearest Integer.) 5027 q cmzls (b) How Fast is the area growing at the Instant when It equals 1 square centimeters? HINT [Use the area formula to determine the Iadlus at that instant.] (Round your answer to the nearest Integer.) mo x mil/s Need new