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If 5 J of work are needed to stretch a spring from 10 cm to 11 cm and 7 J are needed to stretch it from 11 cm to 12 cm, what is the natural length L of the spring?
A triangle drawn on a map has sides of lengths 7 cm, 11 cm, and 14 cm. The shortest of the corresponding real-life distances is 92 km. Find the longest of the real-life distances to the nearest tenth of a kilometer.
Linear Fractional Transformation is a Mapping f: C --> C A fixed point of a transformation is a point z_0 so that f(z_0) = z_0. Show that every linear fractional transformation
Use Euler's method with step size 0.5 to compute the approximate y-values y1,y2,y3, and y4 of the solution of the initial-value problem y'= -2 + 2x - 4y, y(0)= -3
a motorboat travels 128 km in 2 hours going upstream.it travels 208kn going downstream in the same amount of time what is the rate of the boat still in the water? what is the rate of the current?
what is the present value of R1 000 to be received in 10 year's time assuming a discount rate of 12% per annum?
Find the periodic payment required to amortize a loan of $227,000 over 360 months with interest charged at the rate of 8(1/8)%/year compounded monthly.
Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line with a slope of 6.4.
The sum of all of the sides of a stop sign is 96 inches. A stop sign is an octagon with all sides equal. How many inches does each side measure?
Find the expected value (to you) of the game. If you play one game would you expect to win or lose the game? Explain.
Stating the null & alternate hypotheses
After researching banks to find the best interest rate, you find that Banks for Homeowners offers the best rate of 6% interest that compounds monthly for 30 years.
In performing a symetric approximation, you calculate the total system cost $6,725K. The variance is 75625. The POE is $6,475K. What is the proabiility of overruning the POE?
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