Scientific numbers

Example 1

This example shows operations with exponents and roots.

Example 2

Orbital velocity computation.

Example 3

The satellite runs along a round orbit with a rotational period of T = 88 min. What is its linear velocity v, since we know that its orbit is located at a distance of h= 200 km from the Earth's surface?

Solution:

Example 4

This example shows that when we need to involute a function, it is enough to place the exponent value by its symbol. There is no need to put the whole expression into the brackets and involute it.

Example 5

Here is an example showing the calculation performed using trigonometric functions and Nth roots.

Example 6

Angle addition formula.

Example 7

An alternating current circuit with a voltage of 220 V and a frequency of 50 Hz connected to capacitor 35.4 mcF, active resistance 100 Ohm, and the induction coefficient L = 0.7 H. Find the circuit current amplitude and the drop of voltage in the capacitor, ohmic resistance, and inductance.

Example 8

Probability of non-standard spare part manufacture is 0.11. Using the Bernoulli formula, find the probability of the fact that if we take five manufactured spare parts, four of them will be standard.