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Perform the indicated operations and simplify the expression?
(x^2+1)^(1/2)-2x^2(x^2+1)^(-1/2)/(1-x^2)
Find an equation of the line passing throughout (-3,4) and parallel to the x-axis
There are four file cabinets, each with three drawers. There are 108 blue folders and 60 red folders. Use all the cabinets and put the same number of red folders and the same number of blue folders in each drawer. How many red and blue file folder..
Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal to each other. How fast is the height of the pile increasing w..
A ball thrown vertically upward at time t=0(s) with initial velocity 80 ft/s and initial height 96ft and height function of y(t) = -16t^2 + 80t + 96. What is the max height attained by the ball?
Prove that there exists only one 4-regular maximal planar graph. Can you explain it step by step? Draw the graph please.
Probability of a student receiving a particular grade, A student taking Management Science 301 at East Haven University will receive one of the five possible grades for the course
If the decision is to reject the null hypothesis of no difference between two population parameters, z distribution at the .01 significant level, what is the correct statement of the alternate hypothesis and rejection region?
an inverted cone of revolution whose slant height is 15 cm. holds a liter of liquid. how far from the vertex should marks be placed on the slant height to indicate 1 milliliter?
Find the small positive angle from the positive X-axis to the vector OP that corresponds to (3,3). Find the work done by the constant force 4i-2j if the point of application moves along the line segment from P(1,1) to Q(5,7)
Find a polar equation for the curve represented by the given Cartesian equation.
A lighthouse is located on a small island 4 km away from the nearest point P on a straight shoreline and its light makes four revolutions per minute. How fast is the beam of light moving along the shoreline when it is 1 km from P? (Round your answ..
If the loan is to be amortized over 30 yr, what monthly payment will the Taylor's be required to make? (Round your answers to the nearest cent.)
a boat can travel 124 mph in still water. if it travels 203 miles with the current in the same length of time it travels 133 miles against the current, what is the speed of the current?
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