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How can one prove that the 4 midpoints of the four sides of any quadrilateral form the vertices of a parallelogram using graph geometry (ie. x1, y1 etc. to denote the four vertices)?
Describe the steps necessary to calculate the experimental probabilities of- Drawing two red cards one after the other from the given deck if the cards are returned to the deck after each pick.
A particle's position is give by s = 3t^3 - t^2 + 2t. What is it's acceleration at t=2? This seemed too easy.
Find the validity of argument form.
Solve the equation on the interval.
Write a short paper describing a graph or a series of graphs that would represent a real life situation or problem from your own life.
A recent data showed that 78% of the statistics students pass the class. If we randomly select 20 statistics students, what is the probability that exactly half of them would pass?
Determine the probability without replacement
As a business owner, there are many decisions that you need to make on a daily basis, such as ensuring you reach the highest production levels possible with your company's products. Your company produces two models of bicycles: Model A and Model B..
Poisson Kernel and Harmonic Function, Let P_r(t)=R((1+z)/(1-z)), z=re^it be the Poisson kernel for the unit disc |z|
Use the integrating capabilities of a graphing utility to approximate the surface area of that portion of the surface z=e^x that lies over the region in the xy-plane bounded by the graphs of y=0, y=x and x=1.
A particle starts at the point (-2,0), moves along the x-axis to (2,0), and then along the semicircle y= squareroot(4 - x^2) to the starting point.
Show that f is a homeomorphism. Isn't a homeomorphism by definition a bijection? And since M is compact, will it not be true that N will be compact too?
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