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A plane headed due east is traveling with an airspeed of 270 miles per hour. The wind currents are moving with constant speed in the direction 240°. If the ground speed of the plane is 135 miles per hour, what is its true course?
Find the point on the graph of y= e^x at which the curvature is the greatest. Write the equation for the surface generated by revolving the curve x^2 - 2y^2 = 1 about the y-axis. Describe the surface
Write a function for your profits for each price you charge. This is done by multiplying (P-.5) times your function (y= -100x + 250). I.e. if your function is Cups Sold = 1000 - 100P, your profit function would be (P - .5)*(1000 - 100P).
Let f be a surjection. Then f is an isomorphism iff the order of the element f(a) is equal to the order of the element a , for all a belong to G.
Solve the following linear, first-order differential equations and ensure that the initial conditions are satisfied. Show whether or not the steady-state solutions are stable.
Make a venn diagram: 25 students play soccer, 4 boys play soccer and baseball, 3 girls play soccer and baseball, 10 boys play baseball, 4 girls play baseball
A chord of length 26mm is drawn in a circle of 35mm diameter. What are the lengths of the smaller and larger arcs into which the circumference is divided?
A market survey is conducted by your state legislator to determine the proportion of homeowners who would switch to a new "electrical energy supplier" if they had the opportunity afforded them by new state legislation. Of the 1,200 homeowners surv..
Let f be Lebesgue integrable on [0,1]. Prove that the limit, as k goes to infinity, of the integral from 0 to 1 of (x^k)f(x)dx is equal to 0.
Adding 4 fractions. The denominators are: 3a, 24b, 7a, and 25b. What is the LCD?
Find an equation of the line tangent to the curve at the point corresponding to the value of the parameter.
Use the binomial distribution to find the probability that the company makes a profit from the 1300 policies. Compare this result to that from part b.
If the company wants to send out only fully loaded trucks (and they should return empty), how many trucks of each type would need to be rented? (Find all possible ways to do this.)
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