pints] graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral. y 4 y = g(x) 4 (a) g(x) dx 6. (b) g(x) dx (c) g(x) dx Need Help? Master It 2.
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- FIND THE CENTROID OF THE REGION IN THE FIRST QUADRANT BOUNDED BY THE GRAPH OF y=9-x2, THE X-AXIS, AND THE Y-AXIS (SOLVE BY USING INTEGRAL CALCULUS)SHOW FULL SOLUTION AND EXPLAIN. INTEGRAL CALCULUS. 1. Find the area bounded by y=lnx, x=e^2 and the x-axis, using a horizontal element.Find the area (in square units) of the region under the graph of the function f on the interval [−2, 1], using the Fundamental Theorem of Calculus. Then verify your result using geometry. f(x) = 1
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- Evaluating line integral, can u add explanation to the solution of problemA parabolic satellite dish is 2 m wide and 1 / 2 m deep. Its axis of symmetry is tilted 30 degrees from the vertical. a. Set up, but do not evaluate, a triple integral in rectangular coordinates that gives the amount of water the satellite dish will hold. (Hint: Put your coordinate system so that the satellite dish is in “standard position” and the plane of the water level is slanted.) (Caution: The limits of integration are not “nice.”) b. What would be the smallest tilt of the satellite dish so that it holds no water?Calc 3 - Line Integrals