We are given:

\((−3i)(10i)\)

Multiply the numbers as usual and the imaginary unit by adding the exponents:

\(=-30i2\)

Recall that \(i=\sqrt{-1}\ so\ i2=-1\)

\(=-30(-1)\)

\(=30\)

Question

asked 2020-12-03

Evaluate the limit.

\(\lim_{x \rightarrow \infty} \frac{7(x^{9}-4x^{5}+2x-13}{-3x^{9}+x^{8}-5x^{2}+2x} \)

\(\lim_{x \rightarrow \infty} \frac{7(x^{9}-4x^{5}+2x-13}{-3x^{9}+x^{8}-5x^{2}+2x} \)

asked 2020-11-02

\(\displaystyle{x}−{\left(\sqrt{{8}}{x}−{31}\right)}={5}\)

asked 2020-10-25

“For any elements @ and b from a group and any integer n, prove thal (a−1ba)n=a−1bna

asked 2021-01-08

The central processing unit (CPU) power in computers has increased significantly over the years. The CPU power in Macintosh computers has grown exponentially from 8 MHz in 1984 to 3400 MHz in 2013 (Source: Apple. The exponential function
\(\displaystyle\${M}{\left({t}\right)}={7.91477}{\left({1.26698}\right)}^{{t}}{\left[{m}{a}{t}{h}\right]}\),
where t is the number of years after 1984, an be used to estimate the CPU power in a Macintosh computer in a given year. Find the CPU power of a Macintosh Performa 5320CD in 1995 and of an iMac G6 in 2009. Round to the nearest one MHz.