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1. Each of the following functions has a removable discontinuity at x = 2. How would you define f(2) tin order to make f(x) continuous at x = 2?
a. f(x) = (x3 - 8) / (x2 - 4)b. f(x) = (x2 - x - 2) / (x - 2)
2. Give an example of a function with a removable discontinuity, a function with a jump discontinuity, and a function with an infinite discontinuity.
Use differentials to estimate the decrease in the number of housing starts when the mortgage rate is increased from 12% to 12.5%.
Find a general solution to the differential equation.
A 15.0 µF capacitor has plates with vacuum between them. Each plate carries a charge of magnitude 1160 µC. A particle with charge -3.00 µC and mass 2.00 ? 10-16kg is fired from the positive plate toward the negative plate with an initial speed of 2.0..
A soft-drink cup is in the shape of a right circular cone with capacity 250 ml. If the radius of the circular base is 5 cm, how deep is the cup?
The measure of three of the angles of a quadrilateral are 67, 112, and 55 degree. What is the measure of the fourth angle?
Find all local maxima and minima and all saddle points of the function and find the volume of the solid in the first octant.
The points on a plane: A(-3;2) and B(1.5;-3) are included in a parallel right to another one which crosses point at P(-2;-4). The equation of this last right
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A manufacture has been selling 1050 television sets a week at 390 dollars each. A market survey indicates that for each 13 -dollar rebate offered to a buyer, the number of sets sold will increase by 130 per week.
in a study of exercise a large group of male runners walk on a treadmill for 8 minutes. after this exercise their heart
Satisfies the Cauchy-Riemann equations
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