This biology question covers important biological concepts and processes. The step-by-step explanation below helps you understand the underlying mechanisms and reasoning.
ScanSolve AI Answer
Step 1: Simplify the fraction inside the square root. _0^1 sqrt((5)/(100))\,dt = _0^1 sqrt((1)/(20))\,dt Step 2: Simplify the square root. sqrt((1)/(20)) = sqrt(1)sqrt(20) = (1)/(sqrt(4 × 5)) = (1)/(2sqrt(5)) To rationalize the denominator, multiply the numerator and denominator by sqrt(5): (1)/(2sqrt(5)) × sqrt(5)sqrt(5) = sqrt(5)2 × 5 = sqrt(5)10 So the integral becomes: _0^1 sqrt(5)10\,dt Step 3: Integrate the constant with respect to t. _0^1 sqrt(5)10\,dt = [ sqrt(5)10 t ]_0^1 Step 4: Evaluate the definite integral using the limits of integration. ( sqrt(5)10 × 1 ) - ( sqrt(5)10 × 0 ) = sqrt(5)10 - 0 = sqrt(5)10 The final answer is sqrt(5)10. Send me the next one 📸