Please do this typewritten only for upvote. I will not upvote if it is handwritten. Make sure you answer it completely and no shortcuts. SKIP THIS IF YOU HAVE ALREADY ANSWERED THIS OR ELSE GET A DOWNVOTE. Thank you III. Let R be the region below enclosed by the curvesx = y² + 2y, x + 5y = 0, and x = 5.Set up (and do not simplify) the (sum of) definiteintegral(s) equal to the following:1. arc length of the portion of the curve2x = y + 2y which serves as a boundary of region RYX(5,-1)(-1,-1)R(5,-1-√6)15и

From the question, we are asked to evaluate the length of the blue curve which is x=y2+2y from y=0…

III. Let R be the region below enclosed by the curves 2 x = y + 2y, x + 5y = 0, and x = 5. Set up (and do not simplify) the (sum of) definite integral(s) equal to the following: 1. arc length of the portion of the curve 2 x = y + 2y which serves as a boundary of region R У Т (5,-1) (-1,-1) R (5,-1-√6)

III. Let R be the region below enclosed by the curves 2 x = y + 2y, x + 5y = 0, and x = 5. Set up (and do not simplify) the (sum of) definite integral(s) equal to the following: 1. arc length of the portion of the curve 2 x = y + 2y which serves as a boundary of region R У Т (5,-1) (-1,-1) R (5,-1-√6)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.6: Quadratic Functions

Problem 35E

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Which of the following regions have the same area? I. The region enclosed by the curve y = |2² – 1|, the lines r = 0 and r = 2, and the r-axis. II. The region enclosed by the curve y =x³-4x²+6x and its tangent line at the point r = 1. III. The region enclosed by the curves a? = 4y and y = x2 + 4 IV. The region enclosed by the curve y = x In r and the line y = 1 V. The region between the curve y = - r-axis, and the lines r = 1 and r = 4. (a) I, II, III (b) I, V (c) II, III, IV (а) 1, IV III, IV (e)