Calculus Questions

User Generated

thninwhvprf

Mathematics

Description

Attached below is a screenshot of the questions I need answered. You do not need to show the work. Thanks in advance.

Unformatted Attachment Preview

1. -/2 points WaneFMAC7 12.5.002. My Notes Ask Your Teacher Rewrite the statement in mathematical notation. (Let n be the number of cases of Bangkok flu and t be time.) There are currently 400 cases of Bangkok flu, and the number is growing by 10 new cases every month. n = dn dir = Need Help? Read It 2. -/2 points WaneFMAC7 12.5.004. My Notes Ask Your Teacher Rewrite the statement in mathematical notation. (Let y be the distance from the top of the ladder to the floor, x be the distance from the base of the ladder to the wall, and t be time.) A ladder is sliding down a wall so that the distance between the top of the ladder and the floor is decreasing at a rate of 7 feet per second. How fast is the base of the ladder receding from the wall? dy dt = Rewrite the question in mathematical notation. Find dx/dt. Find dy/dx. Find dt/dy. Find dx/dy. Find dy/dt. Need Help? Read It 3. -/2 points WaneFMAC7 12.5.009. My Notes Ask Your Teacher The area of a circular sunspot is growing at a rate of 800 km2/sec. (a) How fast is the radius growing at the instant when it equals 8,000 kilometers? HINT (See Example 1.] (Round your answer to three decimal places.) km/s (b) How fast is the radius growing at the instant when the sunspot has an area of 810,000 square kilometers? HINT [Use the area formula to determine the radius at that instant.] (Round your answer to four decimal places.) km/s Need Help? Read It -/2 points WaneFMAC7 12.5.010. My Notes Ask Your Teacher The radius of a circular puddle is growing at a rate of 25 cm/sec. (a) How fast is its area growing at the instant when the radius is 50 centimeters? HINT [See Example 1.] (Round your answer to the nearest integer.) cm2/s (b) How fast is the area growing at the instant when it equals 9 square centimeters? HINT [Use the area formula to determine the radius at that instant.] (Round your answer to the nearest integer.) cm2/s Need Help? Read It 5. -/1 points WaneFMAC7 12.5.012. My Notes Ask Your Teacher A rather flimsy spherical balloon is designed to pop at the instant its radius has reached 5 centimeters. Assuming the balloon is filled with helium at a rate of 11 cubic centimeters per second, calculate how fast the radius is growing at the instant it pops. HINT [See Example 1.] (The volume of a sphere of radius r is V = Ar. Round your answer to two decimal places.) cm/s Need Help? Read It Watch It 6. -/1 points WaneFMAC7 12.5.016. My Notes Ask Your Teacher The top of a 40-foot ladder is sliding down a wall at a rate of 13 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 24 feet from the ground? HINT (See Example 2.] ft/s Need Help? Read It 7. -/1 points WaneFMAC7 12.5.030. My Notes Ask Your Teacher The automobile assembly plant you manage has a Cobb-Douglas production function given by P= 20x0.3y0.7 where P is the number of automobiles it produces per year, x is the number of employees, and y is the daily operating budget (in dollars). Assume that you maintain a constant work force of 200 workers and wish to increase production in order to meet a demand that is increasing by 60 automobiles per year. The current demand is 1300 automobiles per year. How fast should your daily operating budget be increasing? HINT [See Example 4.] (Round your answer to the nearest cent.) $ per year Need Help? Read It
Purchase answer to see full attachment
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer

Hi Dude, Please check the...


Anonymous
Excellent resource! Really helped me get the gist of things.

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags