# cal3

posted by .

Using the chain rule, find the min and max points and their values of the composite function defined by:
z= x^2 + y^2, x=sin(2t), y=cos(t)

• cal3 -

z = x^2 + y^2
dz/dt = 2x dx/dt + 2y dy/dt
= 2sin(2t) * 2cos(2t) + 2cos(t) * (-sin(t))
= 4cos(4t) - sin(2t)

for dz/dt=0, check wolframalpha and enter

solve 4cos(4t) - sin(2t) = 0

• cal3 -

olha o lança de coco

BAFORO FICO LOCO

OLHA O LANÇA DE COCO

BAFORO FICOOOO LOCO

## Similar Questions

1. ### Math - Calculus Question.

hey can someone explain to me the relationship between the chain rule and implicit differentiation?
2. ### math

can some one please help me with the following questions as i don't understand them please (a) write down the derivative of each of the functions f(x)=E7x and g(x)=cos(2x) using the product rule differentiate the function k(x)=E7xcos(2x) …
3. ### math

Eliminate the parameter (What does that mean?
4. ### PreCalc

y =( (C-A)/2 ) sin( (X - (A - ( (C - A)/2 ) ) )( pi/(C-A) ) ) + (B - ( (B-D)/2 ) How do I rearange this for this equation for the all of the variables including A, B, C, D, X were pi is the greek leter pi if you didn't notice this …

Use Lagrange multipliers to find the max/min values of the function f(x,y)=xy subject to the constraint: x^2/8+y^2/2 =1 so I compare the gradient vectors of both f(x,y) and the constraint: <y,x>=L<x/4,Ly> resulting in y=Lx/4 …

using the chain rule find the min and max points and their values of the composite function defined by z=x^2+y^2, x=sin(2t), y=cos(t) This is what Ive got so far... dz/dt= 2x*dx/dt+2y*dy/dt =4sin2tcos2t-2sintcost I understand the steps …
7. ### calculus

find max, min and saddle points of the give function f(x,y)=sin(x)+sin(y)+sin(x+y) 0<=x<=pi/4 0<=y<=pi/4 i have that dz/dx=cos(x)+cos(x+y) dz/dy=cos(y)+cos(x+y) and i set them equal to zero but im kinda confused on how …
8. ### Math

determine the values of a,b,c,and d for a sinusoidal equation in the form: y= a sin b(x-c)+d and y= a cos b(x-c)+d using the max= 23.1 and min= -19.7 to determine the value. how to determine the values?
9. ### Calculus

Find f'(x) if f(x)=sin^3(4x) A. 4cos^3(4x) B. 3sin^2(4x)cos(4x) C. cos^3(4x) D. 12sin^2(4x)cos(4x) E. None of these I got D using the chain rule?
10. ### Math

Find the critical points and the interval on which the given function is increasing or decreasing, and apply the First Derivative Test to each critical point f(x)= (7/4)x^4+(28/3)x^3+(-63/2)x^2-252x critical points in increasing order: …

More Similar Questions