tmua 2018 Q16

tmua · Uk · paper1 1 marks Stationary points and optimisation Geometric or applied optimisation problem

The curve $C$ has equation $y = x ^ { 2 } + b x + 2$, where $b \geq 0$.
Find the value of $b$ that minimises the distance between the origin and the stationary point of the curve $C$.
A $\quad b = 0$
B $b = 1$
C $b = 2$
D $b = \frac { \sqrt { 6 } } { 2 }$
E $\quad b = \sqrt { 2 }$
F $\quad b = \sqrt { 6 }$

..... 18

The curve $C$ has equation $y = x ^ { 2 } + b x + 2$, where $b \geq 0$.

Find the value of $b$ that minimises the distance between the origin and the stationary point of the curve $C$.

A $\quad b = 0$

B $b = 1$

C $b = 2$

D $b = \frac { \sqrt { 6 } } { 2 }$

E $\quad b = \sqrt { 2 }$

F $\quad b = \sqrt { 6 }$

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20