【题目】T he gradient function of a curve is given by$$ \frac { d y } { d x } = 3 x ^ { 2 } $$. Work out the equations of the curves t hat pass through the following points: (-1,1) 相关知识点: 试题来源: 解析 【解析】 $$ y = x ^ { 3 } + 2 $$ 反馈 收藏 ...
A curve has a gradient function define d by the differential equation$$ \frac { d y } { d x } = \frac { x } { 1 + x ^ { 2 } } $$.Given that the curve passes through the point whose coordinates are (1, log, $$ \sqrt { 2 } $$). fin d the equation of this curve...
You could also use the gradient to find the equation of the above line (the equation for a linear function is y = mx + b). The line crosses the y-axis at point B when y = 3. Therefore, the equation would be y = -½ + 3. The Gradient of a Curve In addition a straight ...
Rene Thom conjectured that a gradient curve x(t) of an analytic function on R(sup n), which descends to the critical point x(infinity) = 0 is a member of R (sup n), called a path, has there a tangent. The author proves this in case n = 3 for 'standard' paths and 'standard...
Describe the level curves of the function. Sketch a contour map of the surface using level curves for the given c-values. Function : z=e^{xy} C-Values : 1,2,3,4,\frac{1}{2},\frac{1}{3},\frac{1}{4} For the following functions, sketch the level curve t...
结果1 题目 The gradient of a curve at any point (x,y) is given by ()()= y(x^2+1) and it passes through the point (1,2)Use integration to find the accurate value of y 相关知识点: 试题来源: 解析 2.76 反馈 收藏
(A) Storage modulus and (B) loss modulus as a function of temperature, at 1 Hz, (C) weight distribution of copolymer chains composition for different feed composition profiles (G1 and G2), obtained in a semibatch emulsion process. Materials: gradient copolymers (G1 and G2) and core-...
两者意思差不多，但比较上gradient倾向是形容one-dimensional物体例如图表中曲线的斜率，slope倾向是形容o or three-dimensional物体例如平面或实物的斜率 gradient - A rate of inclination; a slope. - Mathematics. A vector having coordinate ponents that are the partial derivatives of a function ...
Answer to: Find the rate of change for the function and calculate the gradient of the curve when the variable = 3. i = -3 \sin 2t + 2 \cos 5 t By...
The more general gradient, called simply "the" gradient in vector analysis, is a vector operator denoted and sometimes also called del or nabla. It is most often applied to a real function of three variables , and may be denoted (1) For general curvilinear coordinates, the gradient is ...