tmua 2022 Q3

tmua · Uk · paper1 1 marks Indefinite & Definite Integrals Finding a Function from an Integral Equation

Given the following statements about a function f

$\mathrm { f } ^ { \prime \prime } ( x ) = a$ for all $x$
$\mathrm { f } ( 0 ) = 1 , \mathrm { f } ( 1 ) = 2$
$\int _ { 0 } ^ { 1 } \mathrm { f } ( x ) \mathrm { d } x = 1$

find the value of $a$.

..... 5

Given the following statements about a function f

\begin{itemize}
  \item $\mathrm { f } ^ { \prime \prime } ( x ) = a$ for all $x$
  \item $\mathrm { f } ( 0 ) = 1 , \mathrm { f } ( 1 ) = 2$
  \item $\int _ { 0 } ^ { 1 } \mathrm { f } ( x ) \mathrm { d } x = 1$
\end{itemize}

find the value of $a$.

Paper Questions

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