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1. Given f (x, y) = xy / (x - y).
(a) Find all the second partial derivatives of this function.
(b) Find the tangent plane to the graph of this function at (2,1, 2)
2. Find the linear approximation of the function f (x, y, x) = x3√(y2 +z2) at point (1, 3, 4) and use it to estimate f (.98, 3.01, 3.97).
3. If cos(xyz) = xy2 + z3. Find (dz/dx) (0,2) and (dz/dy) (0,2).
The area of hong kong is 412 sq mi. It is estimated that the population of Hong Kong will be 9,600.00 in 2050. find the number of square miles of land per person in 2050.
define the given satatement 1. sin90 - sin89 sin10 using pythagoras theoram2. how can any value of sin and cosis
The radius of a circular disk is given as 26cm with a maximum error in measurement of 0.2cm. Use differentials to estimate the maximum possible error in the calculated area of the disk.
Med available is labeled 25 mg
Find the mass and center of masss of the solid S bounded by the paraboloid z= 4x^2 + 4y^2 and the plane z= a (a is greater than 0) if S has constant density K.
mineral deposits have formed a uniform coating that is 4 millimeters thick on the inside of a water pipe. the cross sectional area has decreased by 10%. what was the original diameter of the pipe?
Where does the normal line to the ellipse X^2-xy+y^2=3 at the point (-1,1) intercept the ellipse a second time?
Consider the population model dP/dt=.3(1-P/200)(P/50-1)where P(t) is the population at time t. For what values of P is the population in equilibrium?
marty has a piggy bank that contains 2.25. the piggy Bnk contains only quarters and dimes. there are twice as many dimes as quarters in the bank. how many dimes are in the piggy bank.
Playing Games with Probability ,Please respond to the following: From the e-Activity, determine the probability of winning your state's (Virginia) lottery game. Provide a rationale to support your determination.
Customers selecting one of these cars have a choice of three engine sizes, four body styles, and three color schemes. How many different selections can a customer make?
Bert is planning to open a savings account that earns 1.6% simple interest yearly. He wants to earn exactly $288 in interest after 3 years. How much money should he deposit?
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