Compare the actual change in given function

Reference no: EM131005231

1. Given that z = 3x² + 9xy - y², compare the actual change in z Δz and the estimated change in z dz as (x,y) changes from (3, 9) to (2.95, 9.05), Express the absolute value of the difference as a percentage of the absolute value of the actual change.

|- Δz + dz| = ________ percent of |Δz|

2. A manufacturer is making Beans cans 7 cm high with a radius of 3 cm. Use differentials to estimate the amount of material used for the can if the top and bottom are 1/5 mm thick and the side is 1/10 mm thick.

2461_Beans cans.jpg

Change mm to cm before proceeding. Also, be sure to count the top and bottom in your estimate.

Reference no: EM131005231

Questions Cloud

Determine the total cost : The plant engineering staff is considering a120-kW unit of the same general design to power a small isolated plant. Assume we want to add a pre compressor, which (when isolated and estimated separately) currently costs $18,000. Determine the total..

How the practice of nursing is expected to grow and change : Write an informal presentation to educate nurses about how the practice of nursing is expected to grow and change - Include the concepts of continuity or continuum of care, accountable care organizations (ACO), medical homes, and nurse-managed hea..

Careers in finance : Finance is an exciting field in need of intelligent, skilled people. The job opportunities range from corporate finance, financial planning, investment banking, insurance, and real estate from individuals, institutions, government, and businesses...

What are the broader implications of the study : RESULTS: What did the authors find? DISCUSSION: What are the broader implications of the study? Why are the findings important? COURSE CONCEPTS: How do the findings relate to the relevant concepts that you learned in the course

Compare the actual change in given function : Given that z = 3x2 + 9xy - y2, compare the actual change in z Δz and the estimated change in z dz as (x,y) changes from (3, 9) to (2.95, 9.05).

Regulator imposes a unit pigovian tax on pollution at level : For the purpose of these exercises, let the firm's profits be given by P(x) = 20x - x^2, and let damages be given by D(x) = 2x^2. Under these situations find: Level of output x, Producer surplus and net damages. A regulator imposes a unit Pigovian ta..

What are the additional operating costs : Sandstone Corp has one manufacturing plant that operates on a single-shift/5 day workweek. The plant operates at full capacity (24000 units per week) WITHOUT overtime or extra shifts. At what volume of additional unit output does it make sense to ope..

Describe jim self-concept : Describe Jim's self-concept. Explain, using examples from the video and course concepts, how Jim's self-concept impacted his interaction with his father. Was it positive or negative

The comparative advantage in producing each good : Suppose Jilbo can make 18 flower pots or 2 coffee mugs per day. Her cousin Jimbo can make 10 flower pots or 6 coffee mugs per day. What is the opportunity cost for Jimbo of producing 1 flower pot? or 10 flower pots? Who has the comparative advantage ..

User Account

All Pages