Determine an expression for dy
dx given that x = sin3
(t)andy = cos3
(t)

Step-by-step explanation:

Recall that using the chain rule we can state:

and therefore solve for dy/dx as long as dx/dt is different from zero.

Then we find dy/dt  and dx/dt,

Given that

And similarly:

Therefore, dy/dx can be determined by the quotient of the expressions we just found:

now notice that we can find    from the expression for y,

and    from its expression for x.

Therefore dy/dx can be written in terms of x and y as:

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500