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Use a graph or level curves or both to find the local maximum and minimum values and saddle points of the function. Then use calculus to find these values precisely.
f(x, y) = 3xye-x2 - y2
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y= 9-x2 What are the dimensions of such a rectangle with the greatest possible area
A water lily is growing on a pond. The plant doubles in size each day. After 30 days it will completely cover the pond. For a long time the plant is almost invisible, so you decide to cut it back when it covers half the pond. On what day will that be..
Solve the simultaneous linear equations by using the following methods. Algebraic Elimination Method
Express the retailer's monthly profit from the sale of the cameras as a function of the selling price. Estimate the optimal selling price.
The normal daily human potassium requirement is in the range of 2000 to 6000 mg, with larger amounts required during hot summer weather. The amount of potassium in food varies, depending on the food.
A car, initially moving at 60 mph, has a constant deceleration and stops in a distance of 200 feet. What is its deceleration?
You have a ball on a wire that is twirled in a circular orbit with a radius of 3.6 m, and the centripetal force acting on the ball, that has a mass of 67 kg, is 286 N. What is the speed of the ball in orbit?
23 cars had only air conditioning, 63 cars had only automatic transmissions, and 28 cars had only power steering. 10 cars had both automatic transmission and power steering. How many cars had air conditioning and automatic transmission but not pow..
How does the social costs view extend the due care theory and the contract view? Why do its critics say that the social costs view is unfair? Are their arguments persuasive?
We can use the formula A = P(1 + r)2 to find the amount $A that $P will become when invested at an annual rate of r% for two years.
Zack weighed 230 pounds before experiencing a 12% weight loss. How many pounds does he now weigh?
find slope of direct variation eqation.1. y7x2. y0.75x3.
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