what if class intervals are equal ?


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Average Value of a Function in an Interval
We can take the value of f at a (i.e., f(a)) as first estimate for average value of the function. Divide [a, b] into two equal parts such that then the second estimate of the average value of the function can be taken as second estimate of the average value of the function can be taken as..
The following data is about the ovens sold at an appliance store each ..
The following data is about the ovens sold at an appliance store each day. Which of the following shows the intervals of equal size to group the data? 7 9 12 4 15 10 9 11 14 12 16 18 17 19 21 20 23 22 24 25 => 5-10, 10-15, 15-20, 20-25 or 7-25 or 7-20, 20-25 or 7-15, 20-25..
Dividing [2, 4] into 4 equal intervals, find the value of ∫24 ln x..
Dividing [2, 4] into 4 equal intervals, find the value of ∫ 2 4 ln x dx . => 3.7924 or 2.1536 or 3.6192 or 3.0544 or 0.693..
Continuity in an Interval
A function f(x) is said to be continuous in an interval I, if it is continuous at each point of I. then x can approach c both from the left and the right and so for f (x) to be continuous at c, we must have If the interval I is the closed interval [a,b], then x cannot ..
Dividing [0, 5] into 5 equal intervals using Trapezoidal Rule, find th..
Dividing [0, 5] into 5 equal intervals using Trapezoidal Rule, find the approximate value of ∫ 0 5 e 0.5 x dx . => 57.841 or 45.1584 or 14.46205 or 40.2773 or 22.8293..
Dividing [0, 5] into 5 equal intervals using Trapezoidal Rule, find th..
Dividing [0, 5] into 5 equal intervals using Trapezoidal Rule, find the approximate value of ∫ 0 5 e 0.5 x dx . => 40.2773 or 45.1584 or 22.8293 or 57.841..
Dividing the interval [0, π2] into 4 equal subintervals, find the a..
Dividing the interval [0, π 2 ] into 4 equal subintervals, find the approximate value of ∫ 0 π/2 (cos x + sin x ) dx . => 1.9735 or 3.554 or 3.947 or 0 or 2..
Equal Sets
Two sets A and B are said to be equal if and only if they contain the same elements i.e. if every element of A is in B and every element of B is in A. We denote the equality by A = ..
Equality of Vectors
equal vectors Equality of Vectors - Two vectors are said to be equal if they have the same magnitude and direction. In the figure below, three equal vectors have been represented. The equality of vectors is expressed in the following way Since the three vectors have the sa..
Equality of Matrices
Two matrices are said to be equal if they have the same order and their corresponding elements are equal. e.g., then a = 1, b = 2, c = 3, d = 4, e = 5 and f = 6...
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