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The function in the previous problem is f (x, y) = x(x - 1) (x - 2) + (y - 1)(x - y).
a) Calculate the actual values of the partial derivatives at (3/2, 1/2) and (1, 1).
b) At (3/2, 1/2), find the unit vectors (a, b) such that the derivative of f along the line x(t) = (3/2) + at, y(t) = (½) + bt is zero.
c) Find the points where fx = fy = 0, and calculate the second partial derivatives fxx and fyy at these points.
A student insists on finding a common denominator by always multiplying the denominators of the expressions being added. How could this approach be improved?
If the price of an item drops 10 cents per dozen, it becomes possible to buy 2 dozen more items for $6.00 than was possible at the original price. Find the original price.
A rancher has 360 feet of fencing and wants to enclose a rectangular field and then divide it into two equal pastures with an internal fence parallel to one of the rectangular sides. What is the maximum area of each pasture?
Let the cubic equation ax^3 + bx^2 +cx + d =0 have integral coefficients a, b, c, and d. Show that if a =1, every rational root of the cubic must be an integer that divides the constant term d.
If manufacturing overhead is applied on the basis of direct labor cost, what overhead rate was used in each year?
If there is a penalty of $5,000 a week for each week the project is late, what is the probability of incurring a penalty of at least $5,000?(Round "Probability" valuesto 4 decimal places, intermediate calculations and final answers to 2 decimal pl..
Construct a grouped frequency distribution for the data. Use 41 - 45 for the first class and use the same width for each subsequent class. Type the frequency value for each.
a cylindrical storage tank has a diameter of 18 feet and a height of 16 feet. what is the volume of the storage tank.
the length of the red line segment is 12,and the length of the blue line segment is 4. how long is the transverse axis.
What is the probability that more than 10 dogs have trait D? B. What is the probability that at most 11 dogs have trait D? Binomial Distribution and Standard Deviation
There is a difficult question on my assignment regarding the Mandelbrot set. It asks for me to develop a general rule for the set of c values that will be part of the set.
If you are given the percentage of people that have a certain characteristic and the size of the sample . How can you find the distribution of the sample proportion?
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