A curve in the xy-plane is parametrically given by `x=t+t^3a n dy=t^2,w h e r et in R` is the parameter. For what value(s) of `t` is `(dy)/(dx)=1/2?` `1/3` b. `2` c. `3` d. `1`

A curve parametrically given by x=t+t^(3)" and "y=t^(2)," where "t in R." For what vlaue(s) of t is "(dy)/(dx)=(1)/(2) ?

A curve parametrically given by x=t+t^(3)" and "y=t^(2)," where "t in R." For what vlaue(s) of t is "(dy)/(dx)=(1)/(2) ?

A curve parametrically given as x=t+t^(3)" and "y=t^(2)," where "t in R." For what vlaue(s) of t is "(dy)/(dx)=(1)/(2)

The equation of the normal to the curve parametrically represented by x=t^(2)+3t-8 and y=2t^(2)-2t-5 at the point P(2,-1) is

x y=(x+y)6na n d(dy)/(dx)=y/x t h e nn= 1 b. 2 c. 3 d. 4

The curve described parametrically by x=t^2+t+1 , and y=t^2-t+1 represents. (a)a pair of straight lines (b) an ellipse (c)a parabola (d) a hyperbola

A curve is represented parametrically by the equations x=f(t)=a^(In(b^t))and y=g(t)=b^(-In(a^(t)))a,bgt0 and a ne 1, b ne 1" Where "t in R. The value of (d^(2)y)/(dx^(2)) at the point where f(t)=g(t) is

If x and y are connected parametrically by the equations, without eliminating the parameter, Find (dy)/(dx) . x= a(cos t+ log tan (t)/(2))y= a sin t .

A curve is defined parametrically be equations x=t^2a n dy=t^3 . A variable pair of perpendicular lines through the origin O meet the curve of Pa n dQ . If the locus of the point of intersection of the tangents at Pa n dQ is a y^2=b x-1, then the value of (a+b) is____

If x and y are connected parametrically by the equations given in Exercises 1 to 10, without eliminating the parameter, Find (dy)/(dx) . x= 4t, y= (4)/(t) .