Question

1.express dw/dt as a function of t, both by using the Chain Rule and by expressing...

1.express dw/dt as a function of t, both by using the Chain Rule and by expressing w in terms of t and differentiating directly with respect to t. Then evaluate dw/dt at the given value of t.

a)w= -6x^2-10x^2 , x=cos t,y=sint, t=pi/4

b)w=4x^2y-4y^2x, x=cost y=sint, --> express n terms of t

2.Find the linearization L(x,y) of the function (x,y)=e^x cos(9y) at points (0,0) and (0,pi/2)


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