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consider the curve given by xy^2 - x^3y =6a. Find dy/dxb. Find all points on the curve whose x-coordinate is 1, and write an equation for the tangent line to the curve at each of these points.c. Find the x-coordinate of each point on the curve where the tangent lines is vertical.
Eva created a coffee blend for her restaurant by mixing Kenya and French Roast coffee beans. The Kenya beans cost $15 per pound and the French Roast costs $8 per pound. She bought a total of 10 pounds of coffee for a total of $97.50.
A study of freeway flow at a particular site has resulted in a flow-density relationship.
sales goal for december was 69532.12, actual amount sold for december was 73210.53. what is the percentage accomplished for the month of december.
Discuss an example of a way you use, or can use, a system of equations in your life? Describe a situation where a system of equations has no solution, and prove it mathematically.
What was the annual interest?
The circumference of a sphere was measured to be 86000 cm with a possible error of 050000 cm. Use linear approximation to estimate the maximum error in the calculated surface area.
Three forces with magnitudes of 70 pounds, 40 pounds, and 60 pounds act on an object at angles of -30 degrees, 45 degrees, and 135 degrees, respectively, with the positive x-axis. Find the direction and magnitude of the resultant of these forces.
Farmer Brown, distant mathematical cousin of Mr. Brown, wants to enclose a grazing area along a river bank and build an opera hall. He has 500m of fencing available and none can be used along the riverbank. What are the dimensions that give the la..
Find the correlation coefficient between X and Y. Is there a weak or strong, positive or negative correlation between X and Y?
Conditional Probability: Ball Colour, An urn contains four coloured balls: two orange and two blue. Two balls are selected at random without replacement, and you are told that at least one of them is orange.
Permutation and combination to find number of ways
what is the volume of the largest rectangular parallelepiped which can be inscribed in the ellipsoid x^2/9 + y^2/16 + z^2/36 = 1?
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