Temperature in a boiler can be estimated by the following equation
engineering
Description
Following cases are to be solved and we need to obtain the root-finding equation of them.
1-1) Looking for the solution of x+ln(x)=2.
ℎ(�) = � + ��(�) − 2 = 0
1-2) Temperature in a boiler can be estimated by the following equation
�(�,�) = �
� � �4 5
Looking for the position x in which the temperature rises to 30∘
� in � = 2 minutes (Heat flux � =
200 �/�?�, Conductivity � = 0.015 �/�/�/°�)!
⟹ 30 = 200
0.015 � �4 5
6∗FG∗?
∴ ℎ(�) = 1.33 × 106 � �4 5
6IG − 30 = 0
1-3) A badminton ball is thrown vertically upward. The equation for position of the ball as a
function time t is governed by,
�(�) = 3�6 − 12�? + 5� + 7
Looking for the maximum height x it can reach!
