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Negative function : Several functions are not positive however. Consider the case of f (x ) =x2 - 4 on [0,2]. If we utilizes n = 8 and the midpoints for the rectangle height we obtain the following graph,
In this case let's notice that the function lies entirely below the x-axis and therefore is always negative. If we avoid the fact that the function is negative always and utilizes the same ideas above to estimate the area among the graph and the x-axis we get,
Am= (1/4) f(1/8) +(1/4) f(3/8)+(1/4) f(5/8)+(1/4) f(7/4)+(1/4)f (9/8)+(1/4) f(11/8) +(1/4) f(11/8)+(1/4) f(13/8)+(1/4) f(15/8)
= -5.34375
Our answer is negative as we have expected given that all the function evaluations are negative.
Proof of Root Test Firstly note that we can suppose without loss of generality that the series will initiate at n = 1 as we've done for all our series test proofs. As well n
Explain Measurement Conversions in details? The following tables show measurements of length, distance, and weight converted from one system to the other. Length and Distanc
do you have a decimal place value chart
Factoring polynomials Factoring polynomials is done in pretty much the similar manner. We determine all of the terms which were multiplied together to obtain the given polynom
Two tangents PA and PB are drawn to the circle with center O, such that ∠APB=120 o . Prove that OP=2AP. Ans: Given : - ∠APB = 120o Construction : -Join OP To prove : -
Q. Samantha wrote a computer program to randomly generate two-digit numbers between 00 and 99. Let X be the random 2 digit number generated by the computer. Find the distributio
Find the sum of a+b, a-b, a-3b, ...... to 22 terms. Ans: a + b, a - b, a - 3b, up to 22 terms d= a - b - a - b = 2b S22 =22/2 [2(a+b)+21(-2b)] 11[2a + 2b - 42b] =
Demonstrates that f ( x ) = 4 x 5 + x 3 + 7 x - 2 has accurately one real root. Solution From basic Algebra principles we know that since f (x) is a 5 th degree polynomi
write the value of the 3 in each number
determine the square of the following numbers ... a.8 b.13 c.17 and d.80
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