{eq}\displaystyle f(x,y,z) = \frac{x^2-y^2}{z}\P(x,y,z) = (1,2,3)\\vec{v} = 3i-2j+k\\begin{align} |\vec{v}| &= \sqrt{3^2+2^2+1^2}... See full answer below. Learn more about this topic...
Answer to: Consider w = \frac {x^2}{y}, x = t^2, y = t + 1, t = 3. a. Find \frac {d^2w}{dt^2} using the appropriate Chain Rule. b. Evaluate \frac...
Find the maximum and minimum values of the function f(x,y,z) = x^2 y^2 z^2 subject to the constraint x^2 + y^2 + z^2 = 81. Find the maximum and minimum values of the function f(x,y,z) = x^2y^2z^2 subject to ...
Let x2+y2+z2=3xyz. Find partial derivatives zx, zy. Partial Derivatives: In the given problem on partial derivatives, we have to find the value of ∂z∂x and ∂z∂y. Here we will consider y as constant, when differentiating with respect to x and, x as constant, whe...
y=x2+2y2x 求解x 的值 (复数求解) x=4−y4+16y−y2 x=4y4+16y−y2 求解y 的值 (复数求解) {y=−x1−2x3−1;y=x1−2x3+1,y=0,x =0x=0 求解x 的值 x=4−y4+16y−y2 ...
Formulas are proved for the number of representations of a positive integer by each of the four quaternary quadratic forms x2+y2+2z2+3t2, x2+2y2+2z2+6t2, x2+3y2+3z2+6t2 and 2x2+3y2+6z2+6t2. As a consequence of these formulas, each of the four seriesbegin{eqnarr...
TidyX Episode 115 | R Classes and Objects - Making an S4 Object, Part 2 - S4 Tournament We finally come back to talking about S4 objects this week and talk about how one might use an S4 object IRL. We look back and what we did for S3 objects and decide to use the same context ...
^2在formula中并不是 的平方的意思 如果想要在表达式中加入数学运算符,应该怎么办呢?对某一变量取对数,可以直接写log(y)~log(x),这一表达式的含义就是估计 ;自然指数同样也可以直接表示为exp();但如果想要表示加减乘除和平方之类,需要用到I()这个运算符。(←是大写的i不是小写的L) ...
摘要: This paper discusses the ideal structure of C(X)XαZ2.The characterizationof all closed ideals is posed and the Jacobson topology of Prim(C(X) XαZ2)is described.关键词:C*-dyamleal system crossed product pure state primitive
To solve for the volume of the region bounded by the given equations we will use the triple integrals formula in spherical coordinates which is {eq}V(E) =\iiint\limits_{E}f\left ( x,y,z \right )dV=\int_{\theta _{1} }^{\theta _{2}...