The second derivative at the point (2,2) is 34/9
<u>Explanation:</u>
<u></u>
2x⁴ = 4y³
2x⁴ - 4y³ = 0
We first need to find dy/dx and then d²y/dx²
On differentiating the equation in terms of x
dy/dx = d(2x⁴ - 4y³) / dx
We get,
dy/dx = 2x³/3y²
On differentiating dy/dx we get,
d²y/dx² = 2x²/y² + 8x⁶/9y⁵

d²y/dx² = 34/9
Therefore, the second derivative at the point (2,2) is 34/9
Tanisha lives with her older sister and helps with the rent by paying $500 per month. Her annual salary as a child care specialist is $14,700 after taxes. So to save money for her college classes her monthly budget should be less than 725 .
<h3>What is budget ?</h3>
Budget is total plan of income and expenditure of a period .
Here given that Her annual salary as a child care specialist is $14,700 after taxes. and she lives with her older sister and helps with the rent by paying $500 per month.
So money she have after rent can be calculated as:

So her monthly saving after rent is

So her monthly budget should be less than 725
Tanisha lives with her older sister and helps with the rent by paying $500 per month. Her annual salary as a child care specialist is $14,700 after taxes. So to save money for her college classes her monthly budget should be less than 725 .
To learn more about budget visit :brainly.com/question/24940564
108 miles 3 hours = 36 mph upstream
108 miles 2 hours = 54 mph downstream
bv = boat velocity in still water
cv = current velocity
bv -cv = 36
bv +cv = 54 Adding both equations
2*bv = 90
boat velocity in still water = 45 mph
since bv + cv = 54
then we know the current velocity = 9 mph
Answer:
the equation is y=4x+3
Step-by-step explanation:
is that what you wanted?
Answer:
-1
Step-by-step explanation:
Given a pair of points, we can find the slope from the following formula
m = (y2-y1)/(x2-x1)
= (0--4)/(-2-2)
= (0+4)/(-2-2)
= 4/-4
= -1