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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.
dora and her family are driving to visit relatives for the holidays they travel 174 miles in 3 hours if they travel at a constant speed how many miles do they travel in one hourest
How do you calculate compound interest
When Ms. Jones retired, she received a lump sum of $1,000,000 from her pension plan. She then invested this sum in an annuity account that would pay her an equal amount at the end
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The Shape of a Graph, Part I : In the earlier section we saw how to employ the derivative to finds out the absolute minimum & maximum values of a function. Though, there is many
What lines are invariant under the transformation [(103)(01-4)(001)]? I do not know where to even begin to solve this. Please help!!
Find the normalized differential equation which has {x, xex} as its fundamental set
Certain model of new home distributed with a mean of $150,000. Find percentage of buyers who paid between $150,000-155,000 if standard deviation is $1800.
particular solution of equation y''''-3y''-4y=2sinx
OQRS IS A QUADRILATERAL SUCH THAT OQ= -6,3 OR= -3,7 AND OS= 1,5. T IS ON OQ SUCH THAT OT: TQ= 1:2 PROVE THAT QRST IS AA PARALLEGRRAM
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