Hint: This follows the direct variation model y=kx, but x is squared. Which property is illustrated by the equation ax+ay=a(x+y)? What is a variable change and a constant change? Explain. Determine whether X_1 = (1 1 0), X_2 = (-2 0 1), X_3 = (0 1 0).is linearly in...
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What is an n-th order partial derivative? nth Order Partial Derivative: nth order partial derivative is simply a derivative of a function with k varibles n times. Every time we take the derivative wrt only one varible and consider all others constant. n derivatives are done in a sequence of...
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What is the radius of a sphere with its center at the origin and contains the point (2,3,4)? Distance Formula: The distance formula is the formula that is used to determine the shortest distance between the two points in the space by assuming the two points...
Let z be a function of x and y as follows. Find fraction {partial z}{partial x} : z^3 + ((x ^2)*y) - yz + xz - 3=0 f(x,y) = (y^2 - 1).e^{-x + 3y} what is \frac{\partial^2f}{\partial x \partial y}|_{(-4, -1)} thi...
424 Teenagers and cystic fibrosis. What do they expect from the nursing staff?doi:10.1016/S1569-1993(05)80375-3ELSEVIERJournal of Cystic Fibrosis
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保守力是势能梯度的负值，所以 F=-▽U＝-(6x+2y)i-(2x+8z)j-4y²k 其中ijk是三个方向的单位矢量。