Im so confused rn i have no idea how to do this my teacher didnt teach us this
2 answers:
You might be interested in
Hi there!
We can calculate dy/dx using implicit differentiation:
xy + y² = 6
Differentiate both sides. Remember to use the Product Rule for the "xy" term:
(1)y + x(dy/dx) + 2y(dy/dx) = 0
Move y to the opposite side:
x(dy/dx) + 2y(dy/dx) = -y
Factor out dy/dx:
dy/dx(x + 2y) = -y
Divide both sides by x + 2y:
dy/dx = -y/x + 2y
We need both x and y to find dy/dx, so plug in the given value of x into the original equation:
-1(y) + y² = 6
-y + y² = 6
y² - y - 6 = 0
(y - 3)(y + 2) = 0
Thus, y = -2 and 3.
We can calculate dy/dx at each point:
At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.
At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.
Answer: There are 152 apples.
The explanation is shown below:
- You need to write the following three equations, where is the the number of apples,
is the number of pears and
is the number of oranges:
1)
2)
3)
- You must substitute the equation 3) into the equation 2):
- Now, you need to solve for in the equation 1) and then you must substitute it into
:
- Solve for , as following:
- Therefore, there are 152 apples.
You need to set the correct porportion. x is the percent value you want to find. 100 is the maximum percentage. 420mg is what was taken out of the maximum 560mg dose.
You will cross multiple.
you will divide 42000 by 560
The complete answer will be: The patient took 75% of the 560mg dose of medication.
You will cross multiple.
you will divide 42000 by 560
The complete answer will be: The patient took 75% of the 560mg dose of medication.