3. The product of the gradient of the tangent line and its ordinate to anyof the curve is twice the abscissa. If it passes through the point (1, 2), determinethe equation of the curve, Sconing Solution (3 correct, 1 incorrect)4. At any point (x,y) on the curve, the slope of its tangent line is four times itsabscissa. Determine the equation of the curve if its passes through (2, 10).Scoring: Solution (3 correct, 1 incorrect)

Answered: Image /qna-images/answer/5db96daa-8b2d-42cd-bd8e-4cea86f6b54e.jpg

3. The product of the gradient of the tangent line and of the curve is twice the abscissa. If it passes through the point (1, 2), determine the equation of the curve. Sconng Solution (3 correct, 1 incorrect) 4. At any point (x, y) on the curve, the slope of its tangent line is four times its abscissa. Determine the equation of the curve if its passes through (2, 10). Scoring: Solution (3 correct, 1 incorrect)

3. The product of the gradient of the tangent line and of the curve is twice the abscissa. If it passes through the point (1, 2), determine the equation of the curve. Sconng Solution (3 correct, 1 incorrect) 4. At any point (x, y) on the curve, the slope of its tangent line is four times its abscissa. Determine the equation of the curve if its passes through (2, 10). Scoring: Solution (3 correct, 1 incorrect)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

3. The product of the gradient of the tangent line and its ordinate to any
of the curve is twice the abscissa. If it passes through the point (1, 2), determine
the equation of the curve, Sconing Solution (3 correct, 1 incorrect)
4. At any point (x,y) on the curve, the slope of its tangent line is four times its
abscissa. Determine the equation of the curve if its passes through (2, 10).
Scoring: Solution (3 correct, 1 incorrect)

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