Graph the curve with parametric equations x = cos t, y = sin t, z = sin 5t and find the curvature at the point (1, 0, 0). Graph the parametric graph and find the corresponding rectangular equation by eliminating the ...
From the graph, you can see that y is a function of x.▱+▱▱(3)Enter the parametric equations for x and y, as shown in Figure 10.49. Use the viewing window shown in Figure 10.50. The curve is shown in Figure 10.51. From the graph, you can see that y is not a function ...
Use a graphing utility to graph the curves represented by the parametric equations. Using the graph and the Vertical Line Test, for which curve is y a function of x? (1)x=t^2, y=t^3 (2)x=t, y=t^3 (3)x=t^2, y=t 相关知识点: 试题来源: 解析 (1)Begin by setting the ...
Using Parametric Equations (1)Use a graphing utility to graph the curve given byx=(1-t^2)(1+t^2) and y=(2t)(1+t^2), -20≤ t≤20. (2)Describe the graph and confim your result analytically. (3)Discuss the speed at which the curve is traced as t increases from -20 to 20....
【题目】Writing(1)Use a graphing utility to graph each set ofparametric equations.x=t-sint, y=1-cost,0≤t≤2πx=2t-sin(2t),y=1-cos(2t),0≤t≤π(2)Compare the graphs of the twos ets of parametric equations in part (1). When the curverepresents the motion of a particle and t...
百度试题 结果1 题目For the following exercise, describe the graph of the set of parametric equations.y(t)=t^2 and x(t) is linear 相关知识点: 试题来源: 解析 The parabola opens up. 反馈 收藏
题目Find a set of parametric equations to represent the graph of the rectangular equation y=3-x^2 using (a) t=x and (b) t=x+2. 相关知识点: 试题来源: 解析 (a) x=t, y=3-t^2(b) x=t-2, y=-t^2+4t-1 反馈 收藏
Sketch the graph and find the slope of the curve at the given point. {x=t3−ty=t4−5t2+4 at(0,0) Slope of the Parametric Curve: In a curve determined by parametric equations of the way y=f(t) and x=g(t), the slope ...
A curve in 3-dimensions can be described by parametric equations depending on one parameter, say t. The coordinates of a point on the curve are functions of t like: {eq}\vec{r}(t) = x(t) \hat{i} +y(t) \hat{j} + z(t) \hat{k}, \ ...
Find parametric equations for the tangent line to the curve with parametric equations x = 2t , y = e^{3t}, z=\sqrt{t^2 +7} at the ponit (6, e^9, 4) For the plane curve, graph and find a rectangular equation for the curve. x=t+2,y=(1/t)+...