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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.
If PA and PB are tangents to a circle from an outside point P, such that PA=10cm and ∠APB=60 o . Find the length of chord AB.
Example of addition of Signed Numbers: Example: (-2) + 3 + 4 = 0 - 2 + 3 + 4 Solution: Thus: (-2) + 3 + 4 = 5 Example: 10 + (-5) + 8 + (-7)
Fundamental Theorem of Calculus, Part I If f(x) is continuous on [a,b] so, g(x) = a ∫ x f(t) dt is continuous on [a,b] and this is differentiable on (a, b) and as,
What is the Chain Rule?
Gm signal is better than am signal becuase
The two sides of a triangle are 17 cm and 28 cm long, and the length of the median drawn to the third side is equal to 19.5 cm. Find the distance from an endpoint of this median to
ln(4x+19)=ln(2x+9)
Simpson's Rule - Approximating Definite Integrals This is the last method we're going to take a look at and in this case we will once again divide up the interval [a, b] int
41x + 53y = 135, 53x +41y =147 Ans: 41x + 53 y = 135, 53 x + 41 y = 147 Add the two equations : Solve it, to get ... x + y = 3 -------(1) Subtract : Solve it , to
"Prove by contradiction that no root of the equation x^18 -2x^13 + x^5 -3x^3 + x - 2 = 0 is an integer divisible by 3" Any help would be very much appreciated!
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