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On a level track the car can just go round a bend (radius=80m) at 20ms^-1. At what angle must the tracked be banked so a speed of 30ms^-1 is reached (coefficient of friction being the same)?
Automorphism of a Group, Let G be a group, T an automorphism of G, N a normal subgroup of G. Prove that (N)T is a normal subgroup of G.
Subtracting, Adding and multiplying two complex numbers
Use an ANOVA with alpha=.05 to determine whether there are any significant differences among the three treatments.
Which of the following are functions? The last two problems, i.e., b & c, are multi part relations consider all parts when determining whether or not these relations are functions. Explain your reasoning for a, b, and c.
Solve the given integral by the method of partial fractions: (S stands for the integration sign) S sec^2(x) / (tan^3(x) - tan^2(x)) dx
Evaluate the point on the graph that is closest to given point - Find the point on the graph of the function that is given to closest point.
Many free software mathematics packages on the Internet will solve a system of equations given the coefficients in the system.
Compute the derivative of the given function and find the equation of the line that is tangent to its graph for the specified value of x0.
Find the volume of the solid formed when when the graph of the region bounded by y=e^x, x=0, x=2, and y=0 is revolved about the x-axis.
What is the optimal decision? Ken believes that the $300,000 figure for the Sub 100 with a favorable market is too high. How much lower would this figure have to be for Ken to change his decision made in part (b)?
Make a ninety percent confidence interval for the proportion.
If the merchant samples the fruit, what are the probabilities of accepting a Good box, accepting a Bad box, and not accepting the box? What are these probabilities if he does not sample the fruit
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