Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. related rates part a: 1. consider a right triangle

Related rates Part A: 1. Consider a right triangle with hypotenuse of (fixed) length 46 cm and...

70.2K

Verified Solution

Question

Basic Math

Related rates Part A:

1. Consider a right triangle with hypotenuse of (fixed) length46 cm and variable legs of lengths x and y,respectively. If the leg of length x increases at the rateof 6 cm/min, at what rate is y changing when x = 5 cm?(Round your answer to three decimal places.)

2. Water is flowing into a vertical cylindrical tank of diameter8 m at the rate of 5 m3/min. Find the rate at which thedepth of the water is rising. (Round your answer to three decimalplaces.)

3. A gas is said to be compressed adiabatically if there is nogain or loss of heat. When such a gas is diatomic (has two atomsper molecule), it satisfies the equation PV 1.4 = k,where k is a constant, P is the pressure, andV is the volume. At a given instant, the pressure is 23kg/cm2, the volume is 35 cm3, and the volumeis decreasing at the rate of 6 cm3/min. At what rate isthe pressure changing?

Answer & Explanation Solved by verified expert
3.7 Ratings (409 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

We have the following information on Stocks A and B. The risk-free rate is 5%, and...

Finance
Q

Word count 250 350 In Solan s article When Judges Use the Dictionary he claims...

Biology
Q

of angular momentum 0 21 In a single slit diffraction pattern the distance between first...

Physics
Q

The dot product of two vectors is NEVER Select one or more O a a...

Geometry
Q

Find an nth degree polynomial function with real coefficients satisfying the given conditions.n=3; 2 and...

Basic Math
Q

4 Graph the following inequality 20x 30y 420

Algebra
Q

Dont understand any of it In our cample, will tho firm hilre the 6th...

Accounting
Q

The following data were taken from the financial statements of Hunter Inc. for December 31...

Accounting
Q

An accountant may accept an engagement to apply agreed-upon procedures that are not sufficient to...

Accounting
Q

Carlton Specialties makes custom key rings and has the following amounts during 2021 (Assume the...

Accounting
Q

Current Attempt in Progress On January 1,2023, Sunland Corp. signed a ten-year non-cancellable lease...

Accounting
Q

incomment for a Mancturing Company Teams are omitted from each of the following three lists...

Accounting