Austin spots an airplane on radar that is currently approaching in a straight line, and that will fly directly overhead. The pla
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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
Answer:
The distance between the ice cream shop and Joe's house is the same as the distance between the ice cream shop and the park. So Joe is not closer to the park or his house, he is in the middle.
Step-by-step explanation:
We consider that the ice cream shop is the zero value in the number line. We assume that going north is positive (right side of the number line) and going south is negative (left side of the number line).
The house position is 10 block north of the ice cream shop, so it is represented by the integer 10.
The park is 10 blocks south of the ice cream shop, so it is represented by the integer -10.
The lower absolute value of the integer, the closer position from the ice cream shop.
If we calculate the absollute value of the House position:
|10|=10
Then, we calculate the the absollute value of the Parkposition
|-10|=10
In conclusion, the distance between the ice cream shop and Joe's house is the same as the distance between the ice cream shop and the park. Joe is in the middle.
