The value of the square root function after differentiation is .
The given equation is :
x³√4y = 5
Now we will use implicit differentiation
In mathematics, the derivative of a simple function that resembles a real variable measures how sensitive the function's value (or output value) is to changes in the underlying assumption (input value). The derivative is the fundamental tool in calculus.
The value of y from the equation is :
y = 25/4 x⁻³
now if we differentiate this function we get the same result.
y'=3/x
Hence we can see that the value of both the solution are equal.
A measure of how quickly an object's position changes over time is its velocity, which is the derivative of that object's point with regard to time.
Hence the required solution of the differentiation is
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2 inches.
Each square is 1/2 inch, so 4 squares is 2 inches.
Answer:
<h2>B) x < 0 or x > 3</h2>
Step-by-step explanation:
or
Solution:
<em>add 11 to both sides</em>
<em>divide both sides by 5</em>
<em>subtract 2 from both sides</em>
<em>divide both sides by 4</em>
x < 0 or x > 3
Answer:
The average repair cost per saw for the past month is 20.
The bound of error of estimation is ±10.
Step-by-step explanation:
a) Data and Calculations:
Industry No.of saws Total repair cost Average
for past month
1 3 50 16.67
2 7 110 15.71
3 11 230 20.91
4 9 140 15.56
5 2 60 30
6 12 280 23.33
7 14 240 17.14
8 3 45 15
9 5 60 12
10 9 230 25.56
11 8 140 17.50
12 6 130 21.67
13 3 70 23.33
14 2 50 25
15 1 10 10
16 4 60 15
17 12 280 23.33
18 6 150 25
19 5 110 22
20 8 120 15
Total 130 2,565 19.73
Average = Sum of the total repair cost for past month divided by the number of saws repaired
= 19.73 (2,565/130)
= 20
The bound on error of estimation = the difference between the upper bound of the interval and the calculated mean
= 30 - 20
= 10
The lower bound = 10
The bound of error is also = (30 -10)/2 = 10