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an apple orchard has 60 trees planted per hectare and the average yield is 500 apples per tree. For each additional tree planted per hactare, the average yield per tree is reduced by approximately five apples. How many trees per hectare will give the largest crop of apples?
If the sun is above the horizon, find the length of the shadow cast by a building tall. Round your answer to the nearest hundredth.
If interest is compounded annually, it grows as follows. Suppose P0 is the initial amount and INT is the interest rate per year. If P1 and P2 represent the balance at the end of the first and second year
Let C be the curve which is the union of two line segments, the first going from (0, 0) to (-1, 2) and the second going from (-1, 2) to (-2, 0)
A random sample of 30 households was selected from a particular neighborhood. The number of cars for each household is shown below. Estimate the mean number of cars per household for the population of households in the neighborhood. Give the 95% c..
Express the cost C (in dollars) as a function of the number of chairs x produced, assuming that it is linear. What is y-intercept of the graph?
Write the equation of the line passing through each of the given points with the indicated slope. Give your results in slope-intercept form, where possible. (1, -4), m = -4
We are learning Rolle, Lagrange, Fermat, Taylor Theorems in our Real Analysis class. We just finished continuity and are now studying differentiation.
The parabola y= x^2+4 has two tangents which pass through the point (0,-2). One is tangent to the parabola at (a, a^2+4) and the other at (-a, a^2+4) where a is a certain positive number. The question is a=?
Gone fishing. Debbie traveled by boat 5 miles upstream to fish in her favorite spot. Because of the 4-mph current, it took her 20 minutes longer to get there than to return.
A chemist needs 140 ml of a 66% solution but has only 51% and 93% solutions available. Find how many ml of each that should be mixed to get the desired solution.
Present this article to the class and explain why you chose the example. Include the URL for the site you used. Do not copy the text in the site verbatim. You should summarize your findings.
Verify Stoke's theorem where S is the surface of the paraboloid 2z=x2 + y bounded by z=2 and C is its boundary.
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