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In a mechanical system, the displacement of a body, s meters, is related to time t seconds, by the integral:
t = (integral) [r/(g +ks)]ds
where r, g and k are all constants.
Determine an expression in terms of r and k, for the time taken by the body to travel a distance g/k meters from its initial position.
Please address the following: How do you determine horizontal asymptotes, if any, given the equation for a rational function?
Permutation and combination to find number of ways
Probabilities, A survey of MBA students obtained the following data on "student's first reason for application to the school in which they matriculated".
A reconnaissance airplane leaves its airport on the east coast of the United States and flies in a direction 85 degree. Because of bad weather, it returns to another airport 230 km due north of its home base.
Find the dimensions of the rectangle of the largest area that has its base on the x axis and its other two vertices above the x axis and lying on the parabola y=8-x^2.
Write an equation for the secant line AB where A= (a,f(a)) and B= (b,f(b)) Write an equation for the tangent line that is parallel to the secant line AB. Approximating functions: Let f be a function with f'(x)= sinx^2 and f(0)= -1
Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h) 2 + k.
Write and equation of the tangent line to the graph of y = f(x) at the point on the graph where x has the indicated value. f(x) = (3x^2 + 5x + 4)(4x + 3), x=0
Use taylor series expansion to find the given variables.
Probability values.
Let f be a function that is differentiable for all real numbers. The table gives the values of f and its derivative f' for selected points x in the closed interval -1.5 0 for -1.5
The same experiment as in part (a) above is done with the 7 letters from CHICAGO. Find the probability that the result spells CHICAGO. Find probability that the result spells NEW YORK
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