Calc Exam 2

18 flashcardsby ae20202024
Study these flashcardsFree · spaced repetition · iPhone, Android, Mac & web

All cards

1
x^2+y^2 = ?
r^2
2
what do you replace x and y with when finding the max and min for circles?
polar coords
3
what to do when finding the maximum and minimum after finding fx and fy for critical points
plug in boundaries and critical points
4
dw/dt
w'x*x't+w'y*y't+w'z*z't
5
dy/dx
1/dx/1/dy
6
ln e^14x
14
7
gradient
find fx and fy and plug in point p
8
directional derivative
find fx and fy, plug in points and then multiply by direction vector
9
how to find n for equation of a plane tangent to a surface
find fx,y,z, plug in points for n
10
equation of a plane tangent to a surface
multiply n scales by (x-a)
11
linear approximation
find n and multiply n into planar form and plug in point for c
12
critical points
find fx and fy and solve for 0 for x and y
13
when using 2nd derivative test, what is the equation of D
fxx*fyy-fxy^2
14
when doing lagrange multiplier what does ▽f=?
λ▽g
15
when doing lagrange multiplier what does ▽g=?
0
16
when doing lagrange multiplier, what do you solve for first?
lambda
17
when doing lagrange multiplier, what do you solve for 2nd?
x and y
18
when doing lagrange multiplier, what do plug into the original equation at the end of the question?
critical points
Study all 18 cards for free