tmua 2023 Q5

tmua · Uk · paper2 1 marks Standard Integrals and Reverse Chain Rule Definite Integral Evaluation via Substitution or Standard Forms

Consider the two statements R: $\quad k$ is an integer multiple of $\pi$
$$\mathrm { S } : \quad \int _ { 0 } ^ { k } \sin 2 x \mathrm {~d} x = 0$$
Which of the following statements is true? A $R$ is necessary and sufficient for $S$. B R is necessary but not sufficient for $S$. C R is sufficient but not necessary for $S$. D $R$ is not necessary and not sufficient for $S$.

..... 7

Consider the two statements
R: $\quad k$ is an integer multiple of $\pi$

$$\mathrm { S } : \quad \int _ { 0 } ^ { k } \sin 2 x \mathrm {~d} x = 0$$

Which of the following statements is true?
A $R$ is necessary and sufficient for $S$.
B R is necessary but not sufficient for $S$.
C R is sufficient but not necessary for $S$.
D $R$ is not necessary and not sufficient for $S$.

Paper Questions

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