What is the value of the expression when m= 8 and n=5? m + 35 - n
2 answers:
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Answer:
relative maximum: x = 1
relative minimum: x = 7
Step-by-step explanation:
Critical points:
Values of x for which f'(x) = 0.
Second derivative test:
For a critical point, if f''(x) > 0, the critical point is a relative minimum.
Otherwise, if f''(x) < 0, the critical point is a relative maximum.
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots such that
, given by the following formulas:
In this question:
Finding the critical points:
Simplifying by 3
So
Second derivative test:
The critical points are x = 1 and x = 7.
The second derivative is:
Since f''(1) < 0, at x = 1 there is a relative maximum.
Since f''(x) > 0, at x = 7 there is a relative minumum.
v = - 5
distribute right side of equation and simplify
2v + 18 = 16 - 4v - 28
2v + 18 = - 12 - 4v ( add 4v to both sides )
6v + 18 = - 12 ( subtract 18 from both sides )
6v = - 30 ( divide both sides by 6 )
v = = - 5
Answer:
Step-by-step explanation:
The sides of the larger rectangle are 10 cm and 6 cm.
The sides of the part cut out are 3 cm and 2 cm.
The part cut out is attached to one of the sides of the rectangle.
Perimeter of the new shape will be
Perimeter of old shape
Change in the perimeter is
The perimeter of changed by .
