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Question: 1. Find the slope of the curve x2 + 3y2 = 7 at (2, -1).
2. Assume y is a differentiable function of x and that y+sin y+x2 = 9. Find dy/dx at the point x = 3, y = 0.
3. Find the equations for the lines tangent to the graph of xy + y2 = 4 where x = 3.
Pearson Brothers recently reported an EBITDA of $6.5 million and net income of $1.95 million. It had $2.21 million of interest expense, and its corporate tax rate was 35%. What was its charge for depreciation and amortization?
An affine variety X ? Kq is called a set-theoretic complete intersection if I(X) is a set-theoretic complete intersection.
you wish to deposit 500 per month into an account for 36 months. assume your interest rate is equal to the prime
A circular swimming pool has a diameter of 30 ft, the sides are 5 ft high, and the depth of the water is 2 ft. How much work is required to pump all of the water out over the side? Use the fact that the water weighs 62.5 lb/ft3.
Part 2: LEW Company purchased a machine at a price of $102,000 by signing a note payable, which requires a single payment of $149,872 in 5 years.
How much work was done lifting the sand this far? (Neglect the weight of the bag and lifting equipment.)
find the average distance to the x-axis for points in the region bounded by the x-axis and the graph of y = x - x^2.
You randomly select one card from a 52 card deck. What is the probability of selecting a black 6 or a red jack?
In designing a weather balloon, it is decided to double the diameter of the balloon so that it can carry a heavier instrument load.
Find an interval for x near 0 such that the difference between your conjectured limit and the value of the function is less than 0.01.
Determine the initial velocity and the acceleration given that s=42m when t =2 s and s=144m when t =4 s. Find also the distance travelled after 3 s
out of 180 students taking freshman composition 70 own a car and 115 live on campus. if 10 students neither own a car
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