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- Find the length of the curve over the given interval. r = 8, [0, π/6]13. Find the minimum and maximum value of the function on the giveninterval.y = 2x 2 + 4x + 5 [-2, 2]I am stuck on the maximum and minimum values of y and corresponding x. Will you please assist on that. It is the last part of the question in the picture.
- If a rectangle has its base on the x-axis and two vertices on the curve y=e^-x^2, show that the rectangle has the largest possible area when the two vertices are at the points of inflection of the curve.I am struggling with this question. What’s is the minimum point ,aswell as the maximum point .Find the level curve of the function at c=2 for g(x,y)=(x^3-y)
- The following are parameterizations of curves that have the same end points (0,0) and (2,4). C1: x=t, y=2t, 0 ≤ t ≤2 C2: x=t, y=t2, 0 ≤ t ≤2 C3: x=2t−4, y=4t−8, 2 ≤ t ≤ 3 then it can be concluded that: (image) which is true, false or bothSketch the level curve z=k for the specified values of k. z= x2+y2 ; k= 0,1,2,3,4Choose from the given sketchesSuppose that the Lorenz Curve for country A is given by yA = x 2.2 and for country B is yB = 0.3x 2 + 0.7x. Use the Gini index to determine which of the two countries has greater inequality in its income distribution.