05:A: Find all points on the curve x²y² + xy = 2 where the slope of the tangent line is -1?

Q: Determine the slope of the tangent to √1-x at the point (-8, 3).

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Q: Find the value of x as a fraction when the slope of the tangent is equal to zero for the curve:y _2…

A: The equation of curve y=-x2+5x-1

Q: Find the slope of the tangent line to the curve - 3x + lay+ 3y = 199 | %3D | at the point (1, – 4).

A: We are given a curve and we need to find out the slope to the tangent line at the point (1,-4). For…

Q: 3b. Find an equation of the tangent line to f(x)=2x+x-1 at the point Where x 1. %3D

A: The solution of the problem is given in the next step.

Q: 3- write an equation for the tangent line at the given point x² + y? = 4, (/2, vz)

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Q: f the line tangent to the graph of y =x* – 2x + 1 at x =-1

A: Idea: find the slope of tangent line by differentiation at x=-1 .then find the point on the curve.…

Q: Let f(x) = x². There are two lines with positive slope that are tangent to the parabola and that…

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Q: (c) Find an equation of the tangent line to the graph of x2/3 + y2/3 = 5 at the point (1,8).

A: Given: The equation of the graph is  x23 + y23 = 5 To find: The equation of the tangent line to the…

Q: Find all the points on the graph of (x² + y²)² = x² – y² that have vertical tangent line.

A: This question is taken from the tangent and line in which we have to all points on the graph that…

Q: Q5) find the slope of tangent to the curve at the given points: y? + x? = y* - 2x at (-2, 1) and…

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Q: a. Determine the equation of the tangent to curve y = x² – 3x +1 at (3, 1). (Use the Difference…

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Q: Find the slope of the tangent line to the curve y = (1+ 4x)7 at the point x = 2. %3D

A: Slope of the tangent line is obtained by just derivative of the function  wrt the independent…