What slope does a vertical line have
2 answers:
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Given:
To find:
The value of x.
Solution:
We have,
To find the value of x, we need to isolate x on one side.
Subtract 2b from both sides.
Divide both sides by -3. On multiplying or dividing an inequality by a negative number, we need to change the sign of inequality.
The required inequality for x is .
Therefore, the correct option is A.
Answer:
N(1)=50 is a minimum
N(15)=4391.7 is a maximum
Step-by-step explanation:
<u>Extrema values of functions </u>
If the first and second derivative of a function f exists, then f'(a)=0 will produce values for a called critical points. If a is a critical point and f''(a) is negative, then x=a is a local maximum, if f''(a) is positive, then x=a is a local minimum.
We are given a function (corrected)
(a)
First, we take its derivative
Solve N'(t)=0
Simplifying
Solving for t
Only t=1 belongs to the valid interval
Taking the second derivative
Which is always positive, so t=1 is a minimum
(b)
N(1)=50 is a minimum
(c) Since no local maximum can be found, we test for the endpoints. t=1 was already determined as a minimum, we take t=15
(d)
N(15)=4391.7 is a maximum
Answer:
x = ±
Step-by-step explanation:
Given
y = x² + 7 ( subtract 7 from both sides )
y - 7 = x² ( take the square root of both sides, thus
x = ±