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Find all points of intersection of the curves (r^2)=4sin(2x) and (r^2)=4cos(2x). Give your answers as ordered pairs in cartesian coordinates, in order of increasing radius and increasing angle.
A bag contains 8 black balls and 6 white balls. Two balls are drawn out at random, one after the other without replacement. calculate the probabilities that The second ball is black
Given the curve y = the square root of 16-x^2, -2≤x≤2. Find the volume of the solid generated when y is revolved about the x axis.
Assume that the i component of the derivative of a vector function r(t) is 0 for all t in the domain of the function. What does this imply about the graph of r?
The cost C to produce x number of tennis rackets is C=160+12x. The tennis rackets are sold wholesale for $17 each, so revenue R is given by R=17x. Find how many tennis rackets the manufacturer needs to produce and sell to break even.
Prove the following theorem: If x y + for any > 0 then x y.
Find a function that relates dollars to Euros, find a function that relates Euros to yen and what is g(f(1000))?
A plane leaves an aircraft carrier and files due north at 500km/hr. the aircraft carrier proceeds 30 degree west of south at 35km/h. if the plane has enough fuel for 4h of flying, what is the maximum distance north it can fly,
if you make it 9 cm deep and give the sphere a radius of 16 cm. To be sure, you picture the wok as a solid of revolution, and calculate its volume with an integral. To the nearest cubic centimeter, what volume do you really get?
Two angles are complementary. the sum of the measure of the first angle and one-forth the second angle is 57 degrees.
The number of bacteria N in a culture is given by the model N=250e^kt, where t is the time in hours, with t=0, corresponding to the time when N=250.
consider the curve x^2+sin(xy)+3y^2=c, where c is constant. the point (1,1) lies on the curve. use tangent line approximation to approximate the y coordinate when x=1.01
Calculate the value of the sample test statistic
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