If K = E = ℝ, then f is smooth (with the preceding definition) if and only if f is a smooth curve. Proposition 1 Let f : U→ F be a smooth map, where U is a C∞-open subset of E (U is open in C∞E). Then: (i) For all x∈ U and all v∈ E, there exists lim...
6 A curve has equation y=x^5-2x^2+9 . The point P with coordinates (-1, 6) lies on the curve.(a) Find the equation of the tangent to the curve at the point P. giving your answer in the form y = mx+ c.(b) The point Q with coordinates (2, k) lies on the curve.(i)...
6 A curve has equation(x+y)(x^2+y^2)=1 .Find the values f(dy)/(dx)arctand(d^2y)/(dx^2)arctanttlnepi at the point (0, 1). 相关知识点: 试题来源: 解析 (1+y1)(x2+y2)+(x+y)(2x+2yy1)=0 Puts x=D, y=1 to o (x^2+y^2)y_2+2(1+y_1)(2x+2y_1)...
Also thanks for establishing the equivalence of X-Y plot curve and the equation curve. I saw some online equation curve plotters which dramatically plotted a full circle using the standard x^2 + y^2 = c formula which even SW does not attempt to. ~Tushar LikeLikedUnlikeReply beachcomber 10...
y=3+ x+3x−5 x>0 The curve C has equation (有图片 The point P (4, 3) lies on C. dx (a) Find dy , giving your answer in simplest form. x2 4 8 y=3+ x+3x−5 x>0 The curve C has equation (有图片 The point P (4, 3) lies on C. dx (a) Find dy...
C.P. Almeida-Rivera, J. Grievink, in Computer Aided Chemical Engineering, 2002 Abstract The residue curve mapping technique (RCM) has been considered a powerful tool for the flow-sheet development and preliminary design of conventional multi-component separation processes. It does not only represent...
百度试题 结果1 题目The curve C has equation y=5x^3-x^2-6x+4(a) Find(dy)/(dx)(dy)/(dx)=15x^2-2x-6(2) 相关知识点: 试题来源: 解析 15x²-2x-6(a) B2 for correct differentiation 反馈 收藏
解析 (dy)(dx)=-1(2x^2)+12x^2(split)√(1+((dy)(dx))^2)&=√(1+14(x^2-1x^2)^2) &=√(14x^2+12+14.1(x^2)) &=√((12)^2.(x^2+(1)(x^(2)))^(2))\&=(1)(2)(x^(2)+(1)(x^(2)))(split)反馈 收藏 ...
Equation (5.18) represents the scaled Bernstein basis B0n(rt),…,Bnn(rt) in terms of the standard Bernstein basis B0n(t),…,Bnn(t). Hence by the First Principle of Duality in Section 5.5, (5.19)ΣjQjBjn(t)=ΣkPkBkn(rt)⇔Qj=∑k=0jBkj(r)Pk. This formula leads to the following...
F(x,y) = 0 where F(x, y) is an entire algebraic function, that is, a polynomial of some degree n≥ 1. Two polynomials F1(x, y) and F2(x, y) are said to define the same algebraic curve if and only if there exists a constant c≠ 0 such that the equation F1(x,y) = cF...