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1. Find the volume of the solid generated by revolving the region bounded by the graphs of y = x3 and y = √x in the first quadrant about the given lines:
(a) x-axis
(b) y-axis
2. Use the disk or shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations y = x3, y = 0 and x = 1 about x-axis.
A farmer wants to set aside a rectangular plot of land to contain 580 square meters. If the width is 19 less than the length, find the dimensions of the plot.
The next day, the Burbank Buy More decides they will have a television sale so they change their order to include at least 200 TVs. What is the maximum number of refrigerators which could also be delivered in the same truck? Describe the restricti..
The fuel economy (in miles per gallon) of a certain car is E(x) = -0.01x2 + 0.52x +10.4, where x is the driving speed (in miles per hour, 20 ≤ x ≤ 60). At what speed is fuel economy greatest?
a telephone tower was built on a flat surface and it was anchored by four wires each making an angle of 55degrees with
Find the elasticity of demand E for the demand function q = 40,000 - 10p2.
An object is thrown upward from the top of a 48 foot building, with an initial velocity of 32 feet per second. The height h of the object after t seconds is given by the quadratic equation h=-16t^2+32t+48. When will the object hit the ground?
If the price was $1.50 per gallon one week, and $2.00 the next week, what was your average price per gallon?
find the derivative with respect to x for the following functions.a. f x ax3 bx2xb. fxax ln
Let n >= 0 be an integer, and for each 0 R be the function P(x) := the sum from i=0 to n of c_i x^i such a function is known as a polynomial of one variable
assume that you have a credit card from the hypothetical big bank. pick an imaginary outstanding balance. then answer
what is fewest phone calls that can be made?
Equation of an Ellipse, Principal and Interest and Lotto Probabilities, Among the professionals you have interviewed for your article , were several state and federal government spokespersons who use linear equations in a variety of ways.
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