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NYJC Applications of Integration Tutorial Q1 The curve $C$ is defined by the parametric equations $x=6t-1$, $y=8{{t}^{2}}+2$ where $tge frac{1}{6}$. The line $N$, with equation $3y=8x-10$, is the tangent to
ACJC Parametric Equations Tutorial 4 Q7 The pirate ship Shark is chasing down a ship Arica loaded with treasure. On a rectangular grid in units of kilometres at time $t=0$,
RI Parametric Equations Tutorial Q11 The parametric equations of a curve are $x=at$, $y=a{{t}^{2}}$ where $a$ is a positive constant. The points $Pleft( ap,,,a{{p}^{2}} right)$ and $Qleft( aq,,,a{{q}^{2}} right)$ lie
HCI Tutorial 2A Graphs And Transformations Q4 (e) Sketch the curve whose parametric equations are $x=2cos tcos 2t$, $y=sin tcos 2t$, $0le t<2pi $. Suggested Video and Handwritten Solutions Continue
ACJC Parametric Equations Tutorial Q4 A curve $C$ is defined by the parametric equations $x=2{{t}^{2}}$, $y=sin left( -t right)$, for $0le tle 3pi $ (i) Find the exact coordinates of
2023 RVHS P1 Q10 A curve $C$ has parametric equations $x=sqrt{4+{{t}^{2}}}$, $y={{t}^{2}}$, $tge 0$. (i) Find the equation of the tangent to curve $C$ at point $Pleft( sqrt{4+{{p}^{2}}},{{p}^{2}} right)$. [3]
2023 MI P1 Q12 A curve $C$ has parametric equations $x=t-frac{10}{t}$, $y=6t-{{t}^{2}}$, for $sqrt{10}le tle 6$. (i) Sketch the curve $C$, labelling the coordinates of any points of intersection with
2022 NYJC Promo Q8 (a) A curve has parametric equations $x={{t}^{3}}$, $y={{t}^{4}}-18{{t}^{2}}$, for $t>0$. (i) Find the equation of the tangent to the curve where it is parallel to the
2022 ACJC Promo Q8 A curve $C$ has parametric equations $x=frac{a}{t}$, $y=ln {{t}^{a}}$, where $a$ is a positive constant and $t>0$. (i) Find the equations of the tangent and normal
2022 EJC Promo Q3 A curve ${{C}_{1}}$ has parametric equations $x=atleft( t+2 right)$, $y=aleft( {{t}^{2}}+1 right)$ where $a$ is a positive constant. (a) Find, in terms of $a$, the equation