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Use implicit differentiation to find the slope of the tangent line to the curve [y}/{x - 4 y} = x^{3} - 5 at the point ( 1, {-4}/{-15} ). Find m=?
Evaluate critical points, end points, local extrema and global extrema - Evaluate f at its critical points and at the endpoints of the given interval. Identify local and global maxima and minima of f in the interval.
Let f (x) = |x| for x greater or equal to -1, less than or equal to +1. Write the Fourier series for f (x) on [-1,1]. Show that this series can be differentiated term by term to yield the Fourier expansion of f'(x) on [-1,1]
The line y=0.15x + 0.79 represents an estimate of the average cost of gasoline each year. The line 0.11x-y=-0.85 estimates the price of gasoline in January of each year.
If the company's revenue from the sale of the shoes in 2006 was $3.0 million, what was the approximate revenue from the sale of the shoes in 2005?
This number system is an extension of the real number system. Any polynomial equation has n complex roots, in general, in the complex number system. For example, the equation x2 + 1 = 0 has no real roots
a rectangle is bounded by the x- and y- axes and the graph of y=6-x/2. What length and width should the rectangle have so that its area is a maximum?
A company's CEO wanted to estimate the percentage of defective product per shipment. In a sample containing 400 products, he found 25 defective products.
One mean z test
The recording devices record the time the sound reaches each one. How far directly north of site B should a second explosion be done so that the measured time difference recorded by the devices is the same as that for the first detonation?
Distinguish between static and dynamic geometry problems. Use dynamic geometry software to create geometric objects. Use dynamic geometry software to reflect, rotate, and translate objects.
Factor the polynomial and state the multiplicity of each zero and zeroes of a real polynomial
Law of sines.
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