The function f(x) = 40sin(0.1x + 12) + 50 represents the number of items, f(x), made in a factory each day for x days. The data
used to generate the function was collected over 90 days.
Graph the model, and then use the graph to determine on which day each event occurred.
The first day production exceeds 70 items is day
The last day in the first cycle that production exceeds 70 items is day
.
Graph the model, and then use the graph to determine on which day each event occurred.
The first day production exceeds 70 items is day
The last day in the first cycle that production exceeds 70 items is day
.
2 answers:
You might be interested in
Answer:
Let z = f(x, y) where f(x, y) =0 then the implicit function is
Example:-
Step-by-step explanation:
<u>Partial differentiation</u>:-
- Let Z = f(x ,y) be a function of two variables x and y. Then
Exists , is said to be partial derivative or Partial differentiational co-efficient of Z or f(x, y)with respective to x.
It is denoted by δ z / δ x or δ f / δ x
- Let Z = f(x ,y) be a function of two variables x and y. Then
Exists , is said to be partial derivative or Partial differentiational co-efficient of Z or f(x, y)with respective to y
It is denoted by δ z / δ y or δ f / δ y
<u>Implicit function</u>:-
Let z = f(x, y) where f(x, y) =0 then the implicit function is
The total differential co-efficient
d z = δ z/δ x + δ z/δ y
<u>Implicit differentiation process</u>
- differentiate both sides of the equation with respective to 'x'
- move all d y/dx terms to the left side, and all other terms to the right side
- factor out d y / dx from the left side
- Solve for d y/dx , by dividing
Example :
solution:-
differentiate both sides of the equation with respective to 'x'
move all d y/dx terms to the left side, and all other terms to the right side
Taking common d y/dx