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A steep mountain is inclined 79 degree to the horizontal and rises 3100 ft above the surrounding plain. A cable car is to be installed from a point 900 ft from the base to the top of the mountain. Find the shortest length of cable needed.
assuming that there is no damping and that the has is aced on by an external force of 2 cos3t lb, formulate the initial value problem describing the most ion of the mass.
a particle moves on the x- axis so that its accleration at any time t > 0 is given by a=(t/8)-(1/t^2). when t=1, v= 9/16 ft/sec, and s=25/49 ft.
Which variable in the simple interest equation I = prt represents the original amount of money borrowed or invested?
What is the probability that the mean height of your sample is between 69 and 71 inches?
Estimate the relative error in the calculated surface area.
How do the graphical and computer-based methods of solving LP problems differ? In what ways are they the same? Under what circumstances would you prefer to use the graphical approach?
What are rational expressions? Why must we always be mindful of the final value of the denominator in a ration expression? For example, consider the rational expression 3x(x^2-16). What values in the denominator must be we be mindful of? Explain w..
What are the odds that a randomly selected number between 1 and 100 will not have a digit 7?
Describe how the Fibonacci sequence can be found in Pascal's triangle, then illustrate it using Pascal's triangle.
Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x)=3x^2 at x=1
an initial population of 370 quail increases at an annual rate of 18% write an exponential function to model the quail population and what will the approximate population be after 4 years?
Write the vertical motion equation for this problem.
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