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:
no
Step-by-step explanation:
Given
1 + 4(3x - 10) - 12x ← distribute the parenthesis
= 1 + 12x - 40 - 12x ← collect like terms
= 1 - 40
= - 39 ≠ - 9
Answer:

Step-by-step explanation:

<, > - open circle
≤, ≥ - closed circle
<, ≤ - draw the line to the left
>, ≥ - draw the line to the right
Probability AGAINST a spinner landing on green ...
if 3 are green, then 5 are not green...
5/8 = 0.625 rounds to 0.63 = 63% <===
There are 20 cassettes.
Step-by-step explanation:
Given,
Ratio of cassette to compact disc = 10:3
Let,
the number of cassettes = 10x
Number of compact disc = 3x
According to given statement;
the number of cassettes is 10 less than 5 times the number of compact discs.
10x = 5(Number of CD) - 10

Dividing both sides by 5

Number of cassettes= 10x = 10(2) = 20
There are 20 cassettes.
Keywords: variable, ratio
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