Find the equations of the tangents to the circle x^2 + y^2 + 4x - 10y + 21 = 0 that They are parallel to the line 5x - 5y + 31 = 0.

Q: What is the x-coordinate of the x-intercept of the line 2 = 1 when it is graphed in 3 5 with…

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Q: Determine the equation of the line tangent to the curve y = 3| : 3(x+4)² y = at the point (6,75).

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Q: Determine an equation of the line tangent to the graph at the point (3,8)

A: We find f'(x) using the quotient rule. And plug x=3 in it to find f'(3)

Q: Find the equation of the circle that passes through the intersections of the circles x^2 + y^2 -8x -…

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Q: The slope of the tangent line to the parabola y=4x2+2x+6y=4x2+2x+6 at the point (-3,36) is: ?

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Q: Plot the line y=1-3x and the curve y=34.6-x^2 (all under a square root). Find their point of…

A: Differentiation of a function at a point gives the rate of change of the function at that point. The…