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How are rational exponents related to radicals? Give an example of how an expression with a rational exponent can be rewritten as a radical expression.
Let f(x) = x^3, and compute the Riemann sum of f over the interval [6, 7], choosing the representative points to be the midpoints of the subintervals and using the following number of subintervals (n). (Round your answers to two decimal places.)
Create a system of equations that includes one linear equation and one quadratic equation and create a rational equation that has an extraneous solution.
A swimming pool is circular with a 38-ft diameter. The depth is constant along east-west lines and increases linearly from 2 ft at the south end to 7 ft at the north end. Find the volume of water in the pool.
How much wire should be used for the square in order to minimize the total area?
The equivalent impedance Z of two impedances Z1 and Z2 in parallel is given by the formula 1/Z = 1/Z1 + 1/Z2.
For the exponential function ex and logarithmic function log x, graphically show the effect if x is doubled.
Determining the dimensions of a rectangle of maximum area that is formed by x- axis and a semi circle - What length and width should the rectangle have so that its area is a maximum?
A car dealer, at a year-end clearance sale, reduces the list price of last year's models by 15%. If a certain model has a discounted price of $8000, what was the list price? How much can be saved by purchasing last year's model?
Explain why the existing $310,000 of fixed costs is a sunk cost, while the $320,000 of fixed costs associated with the proposed addition is an out of pocket cost.
Simply supported beam- Maximum bending moment, The bending moment M at position x m from the end of a simply supported beam of length L m carrying a uniformly distributed load of w Kn m-1 is given by
Let the cubic equation ax^3 + bx^2 +cx + d =0 have integral coefficients a, b, c, and d. Show that if a =1, every rational root of the cubic must be an integer that divides the constant term d.
Earthquake A had a magnitude of 8.4 on the Richter scale. At the same time an earthquake B with magnitude 4.6 caused only minor damage. How many times more intense was earthquake A than earthquake B? (Round your answer to two decimal places.)
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