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1. If y is a function of x such that 4xy3 - x2y + x3 - 2x + 1 = 0, use implicit differentiation to find y'.
2. Find the points on the graph of y = x3/2 -x1/2 at which the tangent line is parallel to y -x = 3. Use the general power rule to find f'(x) if
a. f(x) = (4x2 + 6x+ 8)-3
b. f(x)=3√(x+1)/(x+2).
Under certain conditions, the pressure of gas varies inversely with its volume. If a gas with a volume of 150 cubic inches has 29 pounds of pressure, find the amount of pressure 145 cubic inches of gas is under.
The upper left-hand corner of a piece of paper 8 in. wide by 12 in. long is folded over to the righthand edge as in the figure. How would you fold it so as to minimize the length of the fold? In other words, how would you choose x to minimize y?
During the first part of a trip, a canoeist travels 43 miles at a certain speed. The canoeist travels 21 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 5 hours. What was the speed on each part of the t..
nbspq nbsp nbsp nbsp nbspconsider the following lppnbspa nbsp nbsp nbsp nbspsolve using simplex method.nbspb nbsp nbsp
Kenya is reserving a room in a hotel in France where they use euros (€). The room charge is €75. Suppose the conversion rate is €1 = $1.298. What is the cost of the room in dollars?
1.) Find the length of the curve (called a semi parabola) given by: y^2=x^3 from the pint (1,1) to the point (9,27) 2.) find the length of the Curve y= (x^2) - (1/8)ln(x) from 1≤x≤5
Calculating the probability from a given ball situation. Six red balls and four blue balls are placed on a container. The probability that the first ball drawn
Suppose that at a certain instant the volume is 590 cubic centimeters and the pressure is 97 kPa and is decreasing at a rate of 13 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant?
Find a vector in R5 which is not a linear combination and find a vector equation for the line through the points
Applying principles of probability, how can we improve random number generators and make them more unpredictable and thus more realistic? Share your thoughts and possible scenarios.
a slice of pie with a scoop of ice cream has 850 calories. The calories in the pie alone are 100 more than twice the calories in the ice cream alone. How many calories are in each food?
base elevation of 8700 ft, mountain peak in colorado rises 14407 ft over distance of 15844 ft. find the grade of the peak.
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