Cracking The Ap Calculus ab Exam 2018

(Marvins-Underground-K-12) #1

are logs with base e and are denoted by ln. Thus, you should know the following:


ln  1   =   0

ln  e   =   1

ln  ex  =   x

eln x   =   x

The change of base rule is: logb x =


Geometry


The area of a triangle is (base)(height).


The area of a rectangle is (base)(height).


The area of a trapezoid is (base 1 + base 2 )(height).


The area of a circle is πr^2.


The circumference of a circle is 2πr.


The Pythagorean Theorem states that the sum of the squares of the legs of a right triangle equals the square
of the hypotenuse. This is more commonly stated as a^2 + b^2 = c^2 , where c equals the length of the
hypotenuse.


The volume of a right circular cylinder is πr^2 h.


The surface area of a right circular cylinder is 2πrh.


The volume of a right circular cone is πr^2 h.


The volume of a sphere is πr^3.


The surface area of a sphere is 4πr^2.


Trigonometry


Given a right triangle with sides x, y, and r and angle θ below:

Free download pdf