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1. Explain why there are no points on the graph in the third quadrant. That is, based on the equation x^(2)y+xy^(2)=1, explain why the graph contains the points that it does. Explanations can begin with a phrase like "As x increases..." or "As y increases"
2. There is a point at which there is a horizontal tangent line. Find its coordinates.
3. Based on symmetry, state the coordinates of the point at which there is a vertical tangent line. Then give a brief algebraic justification of your answer. You do not need to numerically find the coordinates, just show the algebraic equation that must hold and point out the symmetry to the horizontal tangent case.
Find the equation of the line normal to the curve of y= 2 cos (1/2)x, where x=pi. Write the expression using x as a variable. Write the exact answer in terms of pi.
find the rate at which water is being pumped into the tank in cubic centimeters per minute.
A field is in the form of a triangle pictured below. Angle A is 85± and angle B is 78±. The distance between B and C is 269 feet. Find, to the nearest foot, the distance between A and B.
Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate.
Find the probabilities that the sample, drawn without replacement, contains the following, All blue balls, Exactly 2 black balls
The charges for renting a moving van are $50 for the first 20 miles and $8 for each additional mile. Assume that a fraction of a mile is rounded up. (i) Determine the cost of driving the van 88 miles. (ii) Find a symbolic representation for the funct..
A life insurance company has determined that each week an average of seven claims is filed in its Nashville branch.
The sales representative informs you that there are two floor plans still available, and that there are a total of 63 houses available. The sales representative later indicates that there are six times as many homes available with the second floor..
Consider the area A of the triangle with vertices [a1 a2]^T [b1 b2]^T [c1 c2]^T. Express A in terms of.
the average weight for a ten year old is approximately normally distributed a random sample of 500 ten year olds had a
Calculate The clockwise horizontal angle to be set off at P from PQ to the centre line of the tunnel and The clockwise horizontal angle to be set of at S from SR to the centre line of the tunnel.
A trough is 10ft. long and its ends have the shape of isosceles triangles that are 3ft. across at the top and have a height of 1ft. If the trough is being filled w water at a rate of 12ft3/min,
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