1. Use the formula for the slope of the tangent line to find dy/dx for the curve c(t) = (t^-1 - 5t, 9t^3) at the point t = -1. 2. Find the points on the parametric curve c(t) = (3t^2 - 2t. t^3 Find the points on the ...
Answer to: Find the parametric equations for the tangent line to the curve x = t^4 - 1, y = t^3 + 1, z = t^3 at the point (15, 9, 8). Use the...
Answer to: Find the equation of the line(s) tangent to the parametric curve given the value of the parameter. x=t^2-1, \; y=2e^t, \; t=-12 By...
Definition: A Parametric Curve in R2 is a set of equations x=x(t) and y=y(t) that trace a curve C at the Parameter t varies. It is important to note that parametric curves need not be functions - that is a parametric curve may not pass the vertical line test. Also, some authors...
(1)Find dy/dx and d^2y/dx^2. (2)Find the equation of the tangent line at the point where θ=π/6. (3)Find all points of horizontal tangency. (4)Determine where the curve is concave upward or concave downward. (5)Find the length of one are of the curve. 相关知识点: 试题...
For what values of t is the tangent line to the parametric curves x = t^3 - t, y = t^2 - 1 vertical?Write down a pair of parametric equations for a curve that NOT smooth at t=0.For what values of t is the tangent line to the parametric curves x = t^3 - t, y = t^2...
Given the parametric curve x= sin(2t) and y=2 sin(t)+ sin(2t). 1) Calculate the slope of the tangent line at any value of t. 2) Find the tangent line at t= (1/2)(Pi).Follow • 1 Add comment 2 Answers By Expert Tutors Best Newest Oldest ...
1. 单击“基准”(Datum) 组下拉菜单并选择“曲线”(Curve) 。 2. 在模型树中,选择“基准点标识 1690”(Datum Point id 1690)。 3. 在操控板中单击“使用线”(Use Line) ,从样条切换为直线。 4. 单击“预览特征”(Preview Feature) 。 Enlarge Image 图 3 5. 单击“恢复特征”(Resume Feature) 。 6...
Find an equation for the tangent line to the parametric curve at the point t = 1. x = e^{\sqrt{t, y = t - \ln t^2 Find an equation in x and y for the line tangent to the parametric curve x ( t ) = 8 e ^ { 5 t } ,...
A) Write a vector equation for the curve that has equation r = 1 + cos(theta) in polar coordinates. B) Determine a vector equation for the intersection of the surfaces x^2 + y^2 = 16 and x + y + z = 1 Find the equation of the tangent...