1. Initial value problem. Find the harmonic motion (4) that starts from yo with initial velocity vo. Graph or sketch the solutions for wo = , yo = 1, and various Vo of your choice on common axes. At what t-values do all these curves intersect? Why?

Q: Find the line tangent to the curve x + y3 = 4 at the point (3/3, –1).

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Q: QUESTION 1 Find the equation of the line tangent to the curve In(x3+v) = xv3 at (1, 0)

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A: Given:

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Q: Determine the equation of the blue curve shown below. (Show your reasoning).

A: Apply contraction and slide is backwards.

Q: Question 10. Consider y = . Find the value of x at which this curve has a stationary point. 3e4x2

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A: Since you have asked multi-part question, we will solve first three sub part. For other part please…