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)...
11 A curve has equation y=x^3-3x+4 .(a) Work out the coordinates of the two stationary points.(1,2)(-1,6)]5](b)Determine whether each stationary point is a maximum or a minimum.Give reasons for your answers.(1,2)minimum with reason(-1,6)minimum with reason[3] ...
I typically guess the starting point parameter values to be close to 0 (to avoid singularity), 1, or the midpoint between 0 and 1, and then gradually increase the magnitudes. In your case, since the z-axis data range is in the hundreds, an educated guess would ...
[2] (c) Find the area of the shaded region bounded by the curve and the coordinate axes. [2] © UCLES 2020 9709/12/O/N/20 [Turnover PMT 16 11 A curve has equation y = 3 cos 2x + 2 for 0 ≤ x ≤π. (a) State the greatest and least values of y. [2] (b) Sketch ...
Suppose a curve is defined by the equation {eq}\frac{y}{y-x}=x^2-1 {/eq}. Find {eq}\frac{dx}{dy} {/eq}. Implicit Differentiation: Implicit differentiation allows us to take the derivative of a function in which {eq}y {/eq} is not isolated. To take this ty...
4 The equation of a curve, C, is y= f(x) where f(x) = ax2+ b for all values of x, and a and b are constants.Given that C passes through the point with coordinates (1, -1)(a)write down an equation in a and b.(1)Given also that C passes through the point w...
(x).The curve crosses the y-axis at (0, 3) and has a minimum at P (4, 2).On separate diagrams, sketch the curve with equation(a)y=f(x+4),(2)(b) y=2f(x).(2)On each diagram, show clearly the coordinates of the minimum point and any point of intersection with the y-...
例4:The Curve C has the equation : cos2x+cos3y=1, -π/4 ≤ x ≤π/4, 0 ≤ y ≤π/6, find dy/dx in terms of x and y. 总结一下,我们在看到这种一个等式里有两个变量x和y的时候,就可以考虑这个方法了,当然出题人往往不只考察我们这两个公式的运用,同学们还是需要对微分的公式记熟,考...
Let y = f(x) be a curve passing through (e,e^( e )) which satisfy the... 04:38 The solution of the differential equation xy(dy)/(dx)={(1+y^2)(1+x+x^2... 03:14 Find the equation of the curve such that the portion of the x-axis ... 02:17 The solution of the diff...
Consider the curve defined by the equation xy=7. Set up an integral to find the length of curve from x=a to x=b. Arc Length The length L of any given curve f(x) over the interval [a,b] can be found by using the formula L=∫ab1...