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8) Find the points (x,y) on the curve C given by x = 1+ t2 and y = t – t3 where the tangent line is horizontal. Graph the curve and locate these points. Provide scales on both axes. Suggestion: On Desmos, let -2 st s 2 to see the full curve and to estimate where these points are. Points
8) Find the points (x,y) on the curve given by x = 1+t2 and y=t-t3 where the tangent line is horizontal. Graph the curve and locate these points. Provide scales on both axes. Suggestion: On Desmos, let-2 st s 2 to see the full curve and to estimate where these points are. Points
t2-2t, y =vt and the y-axis. Find the area enclosed by the curve x t2-2t, y =vt and the y-axis. Find the area enclosed by the curve x
Consider the parametric equations below. x = 2 + 4t y = 1-t2 (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases.(b) Eliminate the parameter to find a Cartesian equation of the curve. y = _______ Consider the parametric equations below. x = 3t - 5 y = 2t + 4 (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the...
(3) Find the area bounded by the curve x(t) = 3t-t2, y(t) = 3.li and the y-axis. 3 N 1 2
find the area between the curve y=x^2+1 and y=x(2-x). sketch a diagram of this area. for what value(s) of n does y=x^n satisfy the differential equation: x^2(d^2y/dx^2)+5x(dy/dx)-21y=0
2) Find a rectangular equation for the curve with the given parametric equations. x = 2 sin(t).y = 2 cos(t);0 st <270 (b) x2 + y2 = 2 c) x2 + y2 = 4 (d) y = x2 - 4 (a) y2 - x2 = 2 (e) y = x2 - 2
The curve Cis given parametrically by x = t2, y = y(t), and intere'. Find the interval of t where curve C concaves upward. o(-00,00) (0,1) (0,0) o(-0,0)
Eliminate the parameter to find a Cartesian equation of the curve. Then sketch the curve and be sure to indicate the direction of the curve. x = tan(θ)+ sec(θ) , y = tan(θ)-sec(θ)
3. Sketch the graph of the curve y vx' -5x + 6 = x (x-2)(x-3).