All categories

3 years ago

A method for determining whether a critical point is a minimum

Mathematics

1 answer:

avanturin [10]3 years ago

7 0

Answer:

First and Second Derivative Tests. First identifies critical points. The second determines behavior around the point.

Concave up is a minimum
Concave down is a maximum

Step-by-step explanation:

The extreme points of a function are called the maximum and/or minimums. AT these points, the function (or y-values) are at their highest or lowest. These points are often the peaks and valleys of a function on a graph. You can determine if a function has max or min using the first and second derivative tests. The first determines critical points of the function. The second determines behavior around a point. If the value is positive then the function is concave up. It forms a valley and the point is a minimum. If the value is negative then the function is concave down. It forms a peak which has a maximum.

You might be interested in

Please help me! (Tangent Ratios) (30 points)

PolarNik [594]

Answer:

Step-by-step explanation:

A = 48/20

B = 20/48

5 0

3 years ago

E-1, e-2 and e-3 are three engineering students writing their assignments at night. Each of them starts at a different time and

Bas_tet [7]

E-3 will be the first student to start writing the assignment.

It is clearly stated in the statement that the order of starting the assignment and the order of the completion of the assignment is not the same, the digit in the name of the executive is also not same. This information puts some restrictions.

E-1 can neither be the first one to start nor the first one to complete. Similarly, E-2 cannot be the second one and E-3 cannot be the third one.

It is given that the last student (the third one) to start is the first student (the first one) to complete. This can neither be E-3 nor E-1. It is E-2

The final arrangement is as follows.

Start Complete

First E-3 E-2

Second E-1 E-3

Third E-2 E-1

E-3 is the first one to start writing the assignment.

More similar problems are solved in the link.

brainly.com/question/28391619?referrer=searchResults

#SPJ4

8 0

2 years ago

Nadusha1986 [10]

All isosceles trapezoids have congruent base angles.

Option A

<u>Explanation:</u>

An isosceles trapezoid is a convex quadrilateral with a line of symmetry bisecting one pair of opposite sides.

Properties of isosceles trapezoid:

Opposite sides of an isosceles trapezoid are the same length (congruent).
The angles on either side of the bases are the same size/measure (congruent).
The bases (both top and bottom) of an isosceles trapezoid are parallel.

Note: Refer the attached file for the image of an isosceles trapezoid.

All isosceles trapezoids come into the category of trapezoids but all trapezoids cannot be marked as isosceles. Clearly, if a trapezoid has congruent legs, it is an isosceles trapezoid.

If a trapezoid has one pair of congruent base angles, then the trapezoid is isosceles. A trapezoid is isosceles if and only if its diagonals are congruent.

In the case of quadrilaterals, if the quadrilateral is an isosceles trapezoid, then each pair of base angles are congruent.

6 0

3 years ago

What is x? What is written in pencil is what my teacher gave me.

SCORPION-xisa [38]

It is c with a + but then 5 addrd by 10

3 0

2 years ago

What is the simplified form of expression<br> -4xy/3x

DiKsa [7]

Answer:

(-4/3)y

Step-by-step explanation:

The x cancels out, leaving:

-4y/3 or (-4/3)y

7 0

3 years ago