Find the equation of the tangent plane to z = In(x³ + 1) + yª at the point (0,3, 81).

Q: Find the point (x,y) at which the graph of y=4x2 +4x-8 has a horizontal tangent line

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Q: Find the slope of the tangent line to the curve cos(За — Зу) — ае -37/2 2 at the point (37/2, 27).

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Q: Find an equation of the tangent plane to the graph of f(x, y) = 4x² – 7xy2 at the point (7, 8) z =

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Q: Compute the derivative of the given function. f(x) = 2x" + 1.9x8.7+ 8.7. Note: Use pi for 7 in your…

A: The first question only has been answer below by following the Bartleby guidelines.

Q: Consider the two arcs of the unit circle (note that C1 U C2 form the boundary of the unit circle):…

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Q: Find the slope of the tangent line to the curve 4x2 + 2xy - 2y³ = 160 at the point (4, - 4). -

A: We have to find slope of tangent line to the curve  at the point (4, -4) that is dy/dx at (4, -4)

Q: Find the tangent plane to the equation z = z = 16x + 15y + 19 X - 2x² + 3y² - 3y at the point…

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Q: Calculate the equation of the tangent line to the curve 2r³ + xy +3x+ y = 2 at the point (0, 2).

A: To find the equation of a tangent line to the given curve at point (0,2).

Q: Find the tangent plane to the equation z = 6e" -20 at the point (4, 8, 6)

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Q: Find the equation of the tangent line to the graph of x³ + y³ – 3xy = 0 at the 3 3 point ).

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Q: Find the tangent plane to the equation z = 5y cos(4x - 6y) at the point (6, 4, 20). z =

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