1. 다음 곡면 위의 점 P에서 접평면의 식을 구하여라. (1) x² + y² + z° = 16, P(2, 3, /3) %3D (2) x²- y + z' = 16, P(1, 3, /7) %3D (3) x² + y² - z² - 2xy + 4xz = 4, P(1, 0, 1) %3D (4) x = y²+z - 2, P(-1, 1, 0) %3D

Q: compare a secant and a tangent by defining each.

A: To compare a secant and a tangent

Q: 2.1 Identify and sketch the graph of y = /9 – 4x². Show all the necessary points on the curve and…

A: We can square the left-hand side and right-hand side then we get y2 = 9-4x2

Q: Evaluate Pw.-(x+2y))- dr, where C is the curve shown below.

A:

Q: (6) Let a be a positive real number. Consider the curve defined by r? + y² – ry = a². Find all…

A: Given curve is x2+y2−xy=a2. Differentiate x2+y2−xy=a2 with respect to x, we get…

Q: b. y sin x at x = ЗП 4

A: To write the equation of the tangent line.

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A:

Q: At what points is the tangent horizontal or vertical?

A:

Q: and equations for the tangent plane and the normal line at point Po (X-Yo Zo) (1.5,0) on the surface…

A:

Q: Each of two tangents to the circle x² + y² = 25 has a slope 2. Find the points of contact.

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

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Q: or the curve y = 4x²³ - 2x, find all the points at ngents pass through the origin.

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Q: Sketch the curves 1.) y = 3+4x-x2

A: the equation of the curve is: y=3+4x-x2 we have to sketch the given curve.

Q: Sketch the curve y cu. = x sq.

A: Given the curve is y3 = x2 Put random value in the curve and we get the table which help to trace…

Q: Find a function γ that describes the circle of radius 3 centered at z = 3 - 2i.

A: