Find the curve passing through the origin in the xy plane satisfying y''=2y' and its tangent at the origin has slope 1.
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Find the curve passing through the origin in the xy plane satisfying y''=2y' and its tangent at the origin has slope 1.
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- Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.Find an equation of the curve in the xy-plane that passes through the point (2, 3) and has, at every point (x, y) on it, slope 2x/(1 + y^2 ). Explain your answer.Find the curve through the origin in thexy-plane which satisfies y''=2y' and whose tangentat the origin has slope 1.
- Find the length of the curve y=x^3/2 from the point (1,1) to the point (4,8).Find the curve having the given slope that passes through the indicated point y'= 2x - 5, (5,4).Which points on the curve of x^2-xy-y^2=5 have vertical tangent lines? A. (1,-2) B. (2,-1) and (-2,1) C.(0,square5) D.(4,-2) and (-4,2) E. There are no verticaltangents in this curve