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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.
jenna asked 100 of her schoolmates if they have had their first kiss and 43 of them said yes
3x2 +7x +4
Mary has $2 in her pocket. She does yard work for four various neighbors and earns $3 per yard. She then spends $2 on a soda. How much money does she have left? This translates
In pharmaceutical product research doctors visit the place to learn what
The base of a right cylinder is the circle in the xy -plane with centre O and radius 3 units. A wedge is obtained by cutting this cylinder with the plane through the y -axis in
Change of base: The final topic that we have to look at in this section is the change of base formula for logarithms. The change of base formula is,
some basics problems to work
Example Factorize x 2 - 4x + 4. If we substitute x = 1, the value of the expression will be (1) 2 - 4(1) + 4 = 1 If we substitute x = -1, the value o
what is the difference between North America''s part of the total population and Africa''s part
Describe the Sample of Exponents ? Imagine, for example, that you are the P.E. coach at your school, and you need to divide one of your classes into teams. Your team has 45 stu
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