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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.
Continuity requirement : Let's discuss the continuity requirement a little. Nowhere in the above description did the continuity requirement clearly come into play. We need that t
#question.
why 0 is put in quotient while dividing a number
S-aSa;S-bSb;S-c construct an CFG
In the figure, ABCD is a square inside a circle with centre O. The Centre of the square coincides with O & the diagonal AC is horizontal of AP, DQ are vertical & AP = 45 cm, DQ = 2
Evaluate the subsequent integral. ∫ (tan x/sec 4 x / sec 4 x) dx Solution This kind of integral approximately falls into the form given in 3c. It is a quotient of ta
Theorem If {a n } is bounded and monotonic then { a n } is convergent. Be cautious to not misuse this theorem. It does not state that if a sequence is not bounded and/or
Examples of logarithms: log 2 8 = 3 since 8 = 2 3 log 10 0.01 = -2 since 0.01 = 10
The hypotenuse of a right triangle is 20m. If the difference between the length of the other sides is 4m. Find the sides. Ans: APQ x 2 + y 2 = 202 x 2 + y 2 = 400
My thousandths digit is twice the tenths digit. My tenths digit is one less than the hundredths digit. If my number is 5, what my number?
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