Find Absolute,Relative and Percentage Error where u = x³y³ / z when x=y=z=0.1 and Δx=Δy=Δz=0.002.
Welcome to SK Academy of Mathematics! 🎓 In this video, we solve an important VTU Engineering Mathematics problem on Error Analysis. We will find the Absolute Error, Relative Error, and Percentage Error in computing the function: u = x³y³ / z Given: x = y = z = 0.1 Δx = Δy = Δz = 0.002 This concept is frequently asked in: · VTU B. Tech / B.E. Mathematics M1 and M2 · CSIR NET and K-SET Examinations · GATE Engineering Mathematics --- 📊 What You Will Learn: · Concept of Absolute Error · Concept of Relative Error · Concept of Percentage Error · How to find errors using partial derivatives · Step-by-step numerical computation --- 📝 Problem Statement: Find the Absolute, Relative and Percentage Error in computing u = x³y³ / z when x = y = z = 0.1 and Δx = Δy = Δz = 0.002. --- 📌 Formulas Used: Absolute Error = |Δu| Relative Error = |Δu / u| Percentage Error = |Δu / u| × 100 Where: Δu = |∂u/∂x| Δx + |∂u/∂y| Δy + |∂u/∂z| Δz --- 🔔 Subscribe to SK Academy of Mathematics for more exam-oriented content, problem-solving sessions, and concept explanations! Share this video with your friends who are preparing for engineering mathematics! 📢 --- 📚 Related Playlists: Error Approximation Playlist VTU M1 and M2 Playlist Partial Differentiation Playlist --- 🏷️ Hashtags #EngineeringMathematics #VTU #VTUUpdates #GATE2026 #CSIRNET #KSET #Btech #Mathematics #Calculus #ErrorAnalysis #AbsoluteError #RelativeError #PercentageError #SKAcademy #VTUMaths #M1 #M2 #EngineeringMaths #PartialDerivatives #NumericalMethods #MathTutorial #ExamPrep #Trending #MostViewed ---
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