Find equations for the tangent plane and the normal line at point Po (Xo.Yo.Zo) (1,2,0) on the surface - 8 cos (Tx) + 3x²y+ e xz +5yz = 15. Using a coefficient of 12 for x, the equation for the tangent plane is Find the equations for the normal line. Let x = 1 + 12t. x=, y=, z= (Type expressions using t as the variable.)

Q: 10. An airplane flying 390 feet per second at an altitude of 5000 feet flew directly over an…

A: From Pythagoras theorem  for a right angle triangle with base a, height b, hypotenuse c we have,…

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

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Q: W Show that the curve x = 7 cos(t), y = 2 sin(t) cos(t) has two tangents at (0, 0) and find their…

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Q: Find an equation for the line tangent to the following curve at the point (2, 1). 1 – y = sin (x + y…

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Q: The equation below defines y implicitly as a function of x: 2x2 + xy = 3y2 Use the equation to…

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Q: Find an equation for the line that is tangent to the curve y = 5x - 5x at the point (1,0). The…

A: Our Aim is to find an equation for the line that is tangent to the curve y=5x3-5xat the point (1,0).…