Class test 2

Question 1

What is the formula for exponential growth and decay as well as the variant for newton’s law of cooling.

Answer 1

y=Ae^(kt) and T=B+Ae^(kt)

Question 2

Newton’s method

Answer 2

xn+1 := xn - (f(x_n))/(f’(x_n))

Question 3

What is the differential of cosec and cot

Answer 3

d(cosec x)/dx = -cot x cosec x, and d(cot x)/dx = -cosec^2x

Question 4

product and quotient rule

Answer 4

vu’+uv’ and ( vu’-uv”)/v^2