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The temperature at the point (x, y) on a metal plate is given by the functionf(x, y) = x3+ 4xy + y2 where f is in degrees Fahrenheit and x and y are in inches, with the origin at one corner of the plate. A bug is sitting at the point (2, 3) on the metal plate. Compute the (chilly) temperature at the point under the bug. Find a vector giving the direction that the bug should start to move in order to increase the temperature most rapidly. What is the rate of increase of the temperature (in degrees per inch) in this direction.
show that a*0=a
factorize the following algebraic expressions
Raul's bedroom is 4 yards long. How many inches long is the bedroom? There are 36 inches within a yard; 4 × 36 = 144 inches. There are 144 inches in 4 yards.
A die is rolled and a coin is tossed. What is the probability that a 3 will be rolled and a tail tossed? Find the probability of each event separately, and then multiply the an
Rolle's Theorem Assume f(x) is a function which satisfies all of the following. 1. f(x) is continuous in the closed interval [a,b]. 2. f(x) is differentiable in the ope
Submit solutions for all of the following questions. Remember to set out your answers showing all steps completely and explicitly justify your steps. 1. Provide, in no more than
How do I solve step by step 7
Properties Now there are a couple of formulas for summation notation. 1. here c is any number. Therefore, we can factor constants out of a summation. 2. T
Instructions: 1. Write the null and alternative hypotheses. 2. Calculate the test statistic. 3. Determine the critical value whether or not there has been an improv
Let's start things by searching for a mixing problem. Previously we saw these were back in the first order section. In those problems we had a tank of liquid with several kinds of
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