Answer:
a) d²y/dx² = ½ x + y − ½
b) Relative minimum
Step-by-step explanation:
a) Take the derivative with respect to x.
dy/dx = ½ x + y − 1
d²y/dx² = ½ + dy/dx
d²y/dx² = ½ + (½ x + y − 1)
d²y/dx² = ½ x + y − ½
b) At (0, 1), the first and second derivatives are:
dy/dx = ½ (0) + (1) − 1
dy/dx = 0
d²y/dx² = ½ (0) + (1) − ½
d²y/dx² = ½
The first derivative is 0, and the second derivative is positive (concave up). Therefore, the point is a relative minimum.
Answer:
-6
Step-by-step explanation:
3n = n² - 54
n² - 3n - 54 = 0
n² - 9n + 6n - 54 = 0
n(n - 9) + 6(n - 9) = 0
(n - 9)(n + 6) = 0
n = 9 , -6
hope this helps
Answer:
function
Step-by-step explanation:
hahahahahahahbasta yan ata ang sagot
Answer:
5
Step-by-step explanation:
see explanation, use tangent property to solve question
Answer:
B. 5x - 4y = 12
Step-by-step explanation:
Let's convert this to slope-intercept form to interpret the equation easier.
5x - 4y = 12
Subtract 5x from both sides.
-4y = -5x + 12
Divide both sides by -4.
y = 5/4x - 3
Based on this, we know the slope is 5/4 and the y-intercept is (0, -3). When you count the rise over run in the picture and look at the y-intercept, they match.
