As you increase the subintervals the area will be closer and closer to the real value. In other words your approximation gets better.
As you increase the intervals, there will be more rectanagles and the added area of these rectangles are converging towards the actual area under the curve.
The answer is 4 and four-fifths.
The given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.
What do you mean by absolute maximum and minimum ?
A function has largest possible value at an absolute maximum point, whereas its lowest possible value can be found at an absolute minimum point.
It is given that function is f(x) = |x + 3|.
We know that to check if function is absolute minimum or absolute maximum by putting the value of modulus either equal to zero or equal to or less than zero and simplify.
So , if we put |x + 3| = 0 , then :
± x + 3 = 0
±x = -3
So , we can have two values of x which are either -3 or 3.
The value 3 will be absolute maximum and -3 will be absolute minimum.
Therefore , the given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.
Learn more about absolute maximum and minimum here :
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Answer:
3
Step-by-step explanation:
Given
15 gold ribbons
22 blue ribbons
53 red ribbons
Total of 53 + 22 + 15 = 90 ribbons
Total number of students = 12 boys + 18 girls = 30 students.
If evenly divided, each student will have 90/30 = 3 ribbons
The expression to solve would basically be the amalgamation of what we did above:
(53 + 22 + 15)/(12+18)
This is the distributive property. You take what is outside of the parenthesis and DISTRIBUTE it inside the parenthesis.
