b) Determine the rate, with respecto time, at which the Centripetalacceleration is changing at thePnstantincreasing at a rate OF 3 Crm/5),ant the radius is 500 ant is de creasingat a rate10Em/3and is,that s=Of 2 Cm/s, 14. The centripetal accelevation in cma particle moving in a cirele is qivenby' q =fCS,r)the radius in cm and s is theSpeed of the particle in cm/s.the quantities a, S and r are alFunctions Of time t.0) Write out the chain rule foraS2/r where ů is%3D

Answered: Image /qna-images/answer/fff24566-37d4-4892-9557-c7781707a851.jpg

Answered: 5/ Determine the rate, wit to time, at…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section5.3: The Gram-schmidt Process And The Qr Factorization

Problem 11AEXP

See similar textbooks

Similar questions

A rectangular plate with insulated surface is 10 cm. wide and so long compared to its width that it may be considered infinite length. If the temperature along short edge y = 0 is given u(x,0) = 8 sin(px/ 10) when 0 <x <10, while the two long edges x = 0 and x = 10 as well as the other short edge are kept at 0o C, find the steady state temperature distribution u(x,y).
Suppose a spherical balloon grows in such a way that after t seconds, its volume V is given by V = 4 t1/2 cm3. After 100 seconds the radius of the balloon is r = 2.121568836 units? sec cm cm^2 cm^3 cm/sec cm^2/sec cm^3/sec . How fast is the radius changing after 100 seconds? dr dt = units? sec cm cm^2 cm^3 cm/sec cm^2/sec cm^3/sec
Two large tanks, each holding 24 liters of a brine solution, are interconnected by pipesas shown in the figure. Fresh water follows into tank T1 at a rate of 6L/min and fluid is drainedout of tank T2 at the same rate; also 8L/min of fluid are pumped from tank T1 to tank T2 and2L/min from tank T2 to tank T1. The liquids inside each tank are kept well stirred. If, initially, thebrine solution in tank T1 contains 1 kg of salt and that in tank T2 contains 6 kg of salt, determinethe mass of salt in each tank at time t > 0
1) Evaluate the line integral ∫_c (2x − y) dx − (x+ 3y) dy , where C is a straight line from (1,1) to (3,5), followed by a horizontal line from (3,5) to (5,5).
Suppose U solves the heat equation on the real lineUt = 4Uxx, x ∈ Rwith initial valueU(x, 0) = (4, x ≤ 02, x > 0.(i) Use the Fourier-Poisson formula to give an explicit expression for the solutionU.(ii) Describe the qualitative behaviour of U in this case as t → ∞ and plot outthe solution at several instants of time to explain your answer. What is the limitof U as t → ∞?
2. A HALO jumper with a mass of m parachutes from a gas balloon at time t =0. Under certainassumptions, the distance, s(t), that he has fallen in time t is given by(a) Find s′(0)and s′′(0)and interpret the quantities in terms of the HALO jumper.(b) Relate the units of s′(t)and s′′(t)to the units of t and s(t).
△XYZ is given with X(2, 0), Y(0, −2), and Z(−1, 1). Which of the following can be used to prove that △XYZ is isosceles?

Recommended textbooks for you

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

5/ Determine the rate, wit to time, at which the C acceleration is changing Pnstant that s- 10Em/s increasing at a rate OF 30 and the 00 an radius is 50 Of 2 cm/s. at a rate