Consider the following statements 1 dy dx at a point on the curve gives slope of the tangent at that...........

Mathematics (NDA) Differential Equations

Consider the following statements:

1. dy/dx at a point on the curve gives slope of the tangent at that point.

2. If a(t) denotes acceleration of a particle, then $\int a(t)dt+c$ gives velocity of the particle.

3. If s(t) gives displacement of a particle at time t, then ds/dt gives its acceleration at that instant.

Which of the above statements is/are correct?

1 and 2 only

2 only

1 only

1, 2 and 3

Statement 1 and 2 are correct.
Hence option1 is correct.

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