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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.
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Below is the sketch of a function f ( x ) . Sketch the graph of the derivative of this function f ′ ( x ) . Solution : At first glance it seems to an all however impossib
circumference of a circle
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Find the normalized differential equation which has { x, xe^x } as its fundamental set
I need help with my calculus
I need help with my calculus work
DISTINCT EIGENVALUES -SYSTEM SOLVING : E xample Solve the following IVP. Solution : Therefore, the first thing that we must to do that is, get the eigenvalues
One method of calculating the height of an object is to place a mirror on the ground and then position yourself so that the top of the object will be seen in the mirror. How high i
If r per annum is the rate at which the principal A is compounded annually, then at the end of k years, the money due is Q = A (1 + r) k Suppose
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