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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.
Let G be a group acting on a set X. The action is called faithful if for any g ≠ 1 ∈ G there exists an x ∈ X such that gx ≠ x. That is, only the identity fi xes everything. Prov
Eddie mkes $15.75 per hour. Estimate how much Eddie will make per year if he works 40 hours per week and 50 weeks per year.
Town x and town y were 270km apart. a car started from town x towards town y at a uniform speed of 60km/hr, while a motorcycle started from town y to town x at a uniform speed of 9
I need help for Solving Equations by Completing the Square Method, can anybody help me out for this?
Euler''''s Constant (e) Approximate the number to the one hundredth, one ten-thousandths, and one one-hundred-millionth.
Grimm plc (Grimm) has the following transactions: a) On 1 st January 2010, Grimm issued 400,000 convertible £1 6% debentures for £600,000. The professional fees associated wit
x/15=50/20
Quality Control Normally there is a quality control departments in every industry which is charged along with the responsibility of ensuring about the products made do meet th
Find the amount of sheet metal need to form a conical funnel of base radius 30cm with a vertical height of 50cm, allowing for 0.5cm overlap. Find the total surface area?
the sides of a right angle triangle are a,a+d,a+2d with a and d both positive.the ratio of a to d a)1:2 b)1:3 c)3:1 d)5:2 answer is (c) i.e. 3:1 Solution: Applying
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