9x^2 - y^2 = 1
a.) 18x - 2y dy/dx = 0
2y dy/dx = 18x
dy/dx = 9x/y
b.) y^2 = 9x^2 - 1
y = √(9x^2 - 1)
y' = 9x / √(9x^2 - 1)
c.) substituting y = √(9x^2 - 1) into solution for part a gives
dy/dx = 9x / √(9x^2 - 1)
Thus the two solutions are consistent.
Answer:
0
Step-by-step explanation:
The slope of a line is Change in y
--------------------
change in x
y does not change
0
------
change in x
Slope = 0
Horizontal lines have 0 slope
Vertical lines have undefined slope
Answer:
a. 0.50
Step-by-step explanation:
The standard error of the mean is the standard deviation of the population divided by the square root of the sample size.
In this problem, we have that:
Standard deviation of the population: 6 hours
Sample size: 144
Square root of 144 is 12.
So the standard error of the sample mean is 6/12 = 0.5.
Answer:
1080
Step-by-step explanation:
15% of 2700 is 405
405×4= 1620
2700-1620=1080
Answer: A (5, -5.5)
Step-by-step explanation: To find the midpoint of a line segment, you must know the formations of points. Two coordinates are made up of (x1, y1)(x2, y2). Now, to find the answer, you have to add the two x's (which is 4 and 6 = 10) and divide by 2 which equals 5. Now to find the y point, add both y's together. -5 + -6 = -11, and dividing by 2 gives you -5.5
Thus, the midpoint is (5, -5.5)
