II DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y= (1/3)x - (1/2)x² - 2x 2. y (x2 + 2)2
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Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y= (1/3)x – (1/2)x² - 2...
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- The figure shows a curve C with the property that, for every point P on the middle curve y=2x^2, the areas A and B are equal. Find an equation for C.a. Find a curve y = ƒ(x) with the following properties: i) d2y/ dx2 = 6x ii) Its graph passes through the point (0, 1) and has a horizontal tangent there. b. How many curves like this are there? How do you know?(b) Eliminate the parameter to find a Cartesian equation of the curve. for −5 ≤ y ≤ −1
- Analyze the given problem. Sketch the figure described in the given. 1. The line 2x-y+3=0 is parallel to the line tangent to the curve y=2Inx.Find two values of d such that the line 2x + y = d is tangent to the ellipse 4x2 + y2 = 81. Find the points of tangency.Find the equation of the curve at any point P(x,y) of a curve the subtangent equals -1/x