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Evaluating an Iterated
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Calculus (MindTap Course List)
- Calculus In Exercises 65-68, show that f and g are orthogonal in the inner product space C[a,b] with the inner product f,g=abf(x)g(x)dx. C[1,1], f(x)=x, g(x)=12(5x33x)arrow_forwardevaluating V-2 by substitution, if u =x– 2 then what will be the resulting indefinite In integral in terms of u and du? 3/2_ np 2u np 3/2. +u duarrow_forwardGreen's Second Identity Prove Green's Second Identity for scalar-valued functions u and v defined on a region D: (uv²v – vv²u) dV = || (uvv – vVu) •n dS. (Hint: Reverse the roles of u and v in Green's First Identity.)arrow_forward
- handwriting السؤال 5 Let f: [a,b] is Riemann integral and aarrow_forwarde* What is the integrable form of dx? A du B du du D duarrow_forwardEvaluate the line integral using Green's Theorem and check the answer by evaluating it directly. $ 5 y dx + 5 x²dy, where Cis the square with vertices (0, 0), (2, 0), (2, 2), and (0, 2) oriented counterclockwise. + iarrow_forwardCalculus In Exercises 39-42, use the functions f and g in C[1,1]to find a f,g, b f, c g, and d d(f,g)for the inner product f,g=11f(x)g(x)dx. f(x)=1, g(x)=4x21arrow_forwardCalculus In Exercises 65-68, show that f and g are orthogonal in the inner product space C[a,b]with the inner product f,g=abf(x)g(x)dx. C[/2,/2], f(x)=cosx, g(x)=sinxarrow_forwardEvaluate the line integral using Green's Theorem and check the answer by evaluating it directly. ∮C6 y2dx+3 x2dy∮C6 y2dx+3 x2dy, where CC is the square with vertices (0,0)(0,0), (3,0)(3,0), (3,3)(3,3), and (0,3)(0,3) oriented counterclockwise.arrow_forwardarrow_back_iosarrow_forward_ios
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning