Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 12.3, Problem 5PS
To determine
To solve the double integrals
And sketch the region of
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Chapter 12 Solutions
Calculus
Ch. 12.1 - Prob. 1PSCh. 12.1 - Prob. 2PSCh. 12.1 - Prob. 3PSCh. 12.1 - Prob. 4PSCh. 12.1 - Prob. 5PSCh. 12.1 - Prob. 6PSCh. 12.1 - Prob. 7PSCh. 12.1 - Prob. 8PSCh. 12.1 - Prob. 9PSCh. 12.1 - Prob. 10PS
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- 30. Use Stokes' theorem to evaluate Sc(3z − 2y)dx + (4x − 2y)dy + (z+ 2y)dz, where C is the circle x = 3 cos (t), y = 3 sin (t), z = 2,0 ≤ t ≤ 2πarrow_forward3. Evalnate. the fallowing.donble.integrals.by.com vertinggto Polar.Caa.r.dinates. 2 2 e. dy dx. Anse T(e-1) 2 2 (6) Xy.dxdy. Ans: 47/3 .. ... - Ja-y? Ans : 3.6. -arrow_forwardSS g(r, 1. The first problem is about this integral: 9(7,0) dA = (r.) dA-cos (6) dr de cos(0) π/4 0 2 (a) Sketch and shade the region D on the axes here. 4 ม -4-3-2-1 3 2 1 I 1 2 3 4 -1 -2 -3 -4 (b) Write equations using polar coordinates for all curves/lines that form the boundaries of region D: (c) Write equations using Cartesian coordinates for all curves/lines that form the boundaries of region D: (d) Write an equivalent iterated integral using Cartesian coordinates. Choose your order of integration wisely. Be precise with your bounds for x and y (You do not need to evaluate this integral.) y.arrow_forwardProblem 10. Calculate the positively oriented contour integral el=3 (224+3)(3z7+2) zp-arrow_forward3. For r = 1+ 2 sin (0), find the area inside outer loop but outside the inner loop.arrow_forward5. Suppose you know that the curve Cis given by the parametric equations x =t+sin (t) y=cos(t) where 0arrow_forward#10.3arrow_forwardno. 3 2.6arrow_forwardLet D be the region located to the left of y = x and above the x-axis, bounded by y = √3x². Express D in polar coordinates. Sorry, that's incorrect. Try again? D = = {(r,0)| ≤r<,arrow_forwardTrue or False. If a polar equation r = f (θ) is made θ = f (r), the limits of integration r1 and r2 must be obtained from the corresponding values of θ1, and θ2 which bound the area of concern. Please explain why.arrow_forward1.Evaluate the following integrals using polar coordinates. 2 V. XY dydx x² + y' а. 0 0 1 I S cos (2² + y° ) dædy os(2² + y° b. 2 c. S y dydæ 4 (b) 3 4 - sin (1), (c) Answer: (a) 0 0arrow_forwardThe equation is f(x,y)=4x+yarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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