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: 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: Sketch the graph of y = 3sinx on the interval ( -π , 4π )

A: Solution:-

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.

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A: See attached file for a step by step explanation.

Q: Identify and sketch the curve for x2-y2-6x = 0

A:

Q: Determine the parameter equation of the following curve x2 + y2= 5

A:

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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,

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A:

Q: (c) Find the slope of the curve x?y + xy? = 6 at the point (2, 1).

A: Slope of a curve is given as dy/dx. Pount given is (2,1)

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A: A straight line parallel to x-axis have slope 0.

Q: Consider the following curve: x? + y2 - 4x = 8xy² +92 An equation of the tangent line to the curve…

A: Our Aim is to find an equation of the tangent line to the curve given by:-x2+y2-4x=8xy2+92 -(i) at…

Q: Find the equation of the tangent line to the curve y = 4x-8 at the point (3.-2).

A:

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A:

Q: The point (0, 1) has the distance from the line defined by y = -2x – 1

A: Solve for distance

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

A:

Q: B. Find the slope of the curve at the given point. Ax = 4u(2 – 3u)², y = 3u² – 4u + 4 u =

A:

Q: Consider D2 a. + 4 4 9 Sketch and describe the graph b. Find the equation of the tangent at the…

A: The given function is: x24+y24-z29=1. To Do: (a) Sketch and describe the graph. (b) Find the…

Q: A curve is generated by the equation x² + 4y² = 16. Determine 2. whose corresponding tangent lines…

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A: