Question: a) If the task of a given problem is to find a certain length, which of the following expressions could be the answer - explain

a) If the task of a given problem is to find a certain length, which of the following expressions could be the answer - explain why or why not. (1) at, (2) mut. (3) Jax. (4) -. (5) " b) If the task of a given problem is to find a certain time, which of the following expressions could be the answer - explain why or why not. (1) -, (2) mv x (3) (4) (5) ( x, v, a, t, m have dimensions of length, velocity, acceleration, time, kilogram, respectively ) c) Give the correct result with the correct number of significant figures for the expressions (1) 17.0 . 2.584 + 70066 982.72 + 0.12131' (2) 14.022Learning Objectives: Refresh basic rules and calculations for calculus. Calculate the derivatives of the following expressions, simplify the solutions a ) af (x) = 5a . sin(3x . t) - bvx3 dx dx(t) b ) = 2a . e-sbi . 13 dt Determine the definite integral of the following expressions, c) with respect to t for: f(t) = 813 + 313 d) with respect to x for: f(x) = 2a . e-Sox - 2a2 .sin(3a x)

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