1. State the Fundamental Theorem of Calculus (Part I and Part II). Hence or otherwise:(a) If u is a differentiable function of a over I, obtain a formula forHence find(b) Evaluated²dz²[/² (™ √/₁+ u^²du)lim#-3i. Evaluate the limit lim-0af f(t).dzI-35² sint dt)x-3(Hint: You may use f3 sint dt = F(x) - F(3) for some antidervative F of it)(c) By Using L'hopital's rule,sin(22) + 7z² - 2z2² (2+1)²

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State the Fundamental Theorem of Calculus (Part I and Part II). Hence or otherwise: (a) If u is a differentiable function of a over I, obtain a formula for d (Hint: You may use (c) By Using L'hopital's rule, Hence find (√1+ u^du) dt] . dz² (b) Evaluate i. Evaluate the limit lim 7-0 dz T lim #-3 I I fint dt = F(x) - F(3) for some antidervative F of sint) f(t). sin (22) + 7z² - 2z 2² (2+1)² sin t

State the Fundamental Theorem of Calculus (Part I and Part II). Hence or otherwise: (a) If u is a differentiable function of a over I, obtain a formula for d (Hint: You may use (c) By Using L'hopital's rule, Hence find (√1+ u^du) dt] . dz² (b) Evaluate i. Evaluate the limit lim 7-0 dz T lim #-3 I I fint dt = F(x) - F(3) for some antidervative F of sint) f(t). sin (22) + 7z² - 2z 2² (2+1)² sin t

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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