Answer:
72
Step-by-step explanation:
you multiply the length and the width
3.643 x 10^3
move the decimal in between the first and second number
However many times you move the decimal, that is you exponent.
sin^2 x + 4 sinx +3 3 + sinx
-------------------------- = -------------------
cos^2 x 1 - sinx
factor the numerator
(sinx +3) (sinx+1) 3 + sinx
-------------------------- = -------------------
cos^2 x 1 - sinx
cos^2 = 1-sin^2x
(sinx +3) (sinx+1) 3 + sinx
-------------------------- = -------------------
1- sin^2x 1 - sinx
factor the denominator
(sinx +3) (sinx+1) 3 + sinx
-------------------------- = -------------------
(1-sinx ) (1+sinx) 1 - sinx
cancel the common term (1+sinx) and (sinx +1)
(sinx +3) 3 + sinx
-------------------------- = -------------------
(1-sinx ) 1 - sinx
reorder the first term
3+sinx 3 + sinx
-------------------------- = -------------------
(1-sinx ) 1 - sinx
Answer:
nx^(n-1).
Step-by-step explanation:
d/dx (x^n)
We multiply by n than subtract 1 from the exponent (n):
= n x^(n-1)
Numerical examples:
d(x^3) dx = 3 * x^(3-1)
= 3x^2.
d(2x^5)/dx = 5*2 x^(5-1)
= 10x^4.
