Calculating complex numbers raised to an natural number exponent

Find modulus and argument of the complex number $z_1$ and find the $n$th roots of $z_1$ where $n=5,\;6$ or $7$.

This question provides practice at adding, subtracting, dividing and multiplying complex numbers in rectangular form.

5 questions on definite integrals - integrate polynomials, trig functions and exponentials; find the area under a graph; find volumes of revolution.

5 questions on indefinite integration. Includes integration by parts and integration by substitution.

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

Missing: Application with bacteria, turning points, difficult chain rule

Instructional "drill" exercise to emphasize the method.

Thanks to Christian for his method for use of gaps in fractions.

Instructional "drill" exercise to emphasize the method.

Thanks to Christian for his method for use of gaps in fractions.

Instructional "drill" exercise to emphasize the method.

Thanks to Christian for his method for use of gaps in fractions.

Instructional "drill" exercise to emphasize the method.

Thanks to Christian for his method for use of gaps in fractions.

Instructional "drill" exercise to emphasize the method.

Thanks to Christian for his method for use of gaps in fractions.

Instructional "drill" exercise to emphasize the method.

Thanks to Christian for his method for use of gaps in fractions.