A mouse Q runs along the positive y-axis at the constant speed v at the origin. A cat P chases the mouse along curve C at the constant speed v starting at point (1, 0) as shown in the following figure. At any time instance, line PQ is tangent to curve C. Determine the equation of curve C.

Q: Sketch the graph of the curve

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Q: Find the equation of the line tangent to the curve 8x4 + 8y² = 16 at the point (1, 1).

A: To find the equation of the line tangent to the curve 8x4+8y2=16 at the point 1, 1.

Q: Write the equations of the lines tangent to the curve y x- 4x at both a 0 and a 2. Then, determine…

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Q: Describe the curve generated by x = 3 + 2t, y = -12 - 6t, for - ∞ < t < ∞.

A: Given: x=3+2t y=-12-6t            - ∞ < t < ∞ To find: curve generated by given functions.

Q: A curve has implicit equation 3x² y - 5y = 2(x + 8) x ER, YER, y # 0.

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Q: find the exact length of the curve of the equation in the picture below make sure to show all work

A: The given curve equation is,

Q: Determine the equation of the line tangent to the curve y = x√√√ 2x² + 17 at the point (4,28). y =

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