Log in
Calculus
0
answers
0
watching
80
views


Dierentiate thefunction f(x; y; z) = cos(π/2 x z)-y^2 along the curve r(t) = <e^2t , t^2, e^-t> atthe point (1; 0; 1).

Watch
0
answers
0
watching
80
views

For unlimited access to Homework Help, a Homework+ subscription is required.

Related textbook solutions

Calculus
4 Edition,
Rogawski
ISBN: 9781319050733
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
CALCULUS:EARLY TRANSCENDENTALS
4 Edition,
Rogawski
ISBN: 9781319050740

Related questions




Don’t understand why the r(t) in part(a) is <sint, cost> and in part(b) is <cost, sint>. Thank you.

1) Show that the follwing limit does not exist

lim(x,y)-(0,0)(xy+x2)/(x^2+y2)

2) Fin all the second orderpartial derivatives of

f(x,y,z)=x2tan-1(y+z)

3) Find the equation of thetangent plane to the surface

z=x2-4y2 atthe piont (1,2,-15).

4) Fin the linear approximation tothe function

f(x,y,z)=e-2xy+cos(2yz) at the point (1,-1,2)

5) Fin the normal vector to thesurface

z2=x2-y2 at the point (5,3,4)

6) You are standing on a surfacegiven by the equation

z=x2-2y2. Ifyou are standing at the poin (2,1,0), in which directio is thesteepest slope?

7) The temperature in the solarsystem is given by

T(x,y,z)=105/(x2+y2+z2). If acomet travels along the path r(t)=(t, t2-4, 2t), howfast is the temperatur changing when t=2?

8) Fin the critical point of thefunction f(x,y)= e4x-e-y. Use the secondderivative test to classifyf them, if possible.

9) Fin the extreme values off(x,y)=4x2+3y2 on the square 0 is less than or equal x,y less thanor equal to 1.

1.Use lagrange multipers to find the least distance between the point (-3,0,4) and the surface of the cone z^2 = x^2 + y^2

2. Suppose a particle moving in space has velocity v(t) = <sin(2t), cos(t), e^-t> and initial position x(0) = <2,0,1>. Find the position vector function x(t).


Weekly leaderboard

Home
Homework Help 3,900,000
Calculus 630,000
Start filling in the gaps now
Log in