What is the equation of the surface revolved about the x-axis for z² - xz = ln x + 3x? A. y² + z² = Inx+3x+xz x² 1 ---------| In x + 3x + B. y² + z² C. y² + z² x² In x + 3x + 4 1 D. y² + z² = lnx + 3x + x(lnx + 3x)

Q: Evaluate fay'da + aªdy, where C is the rectangle with vertices (0,0), (1,0), (1,4), and (0,4)

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Q: Find the equation of the circle which is touched by y = x has on the positive direction of the x -…

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Q: Find the tangent line to the ellipse 0y-x-8 0,-1,-√7 y = 14 0y=-√14x-7 O None of these ○ y = √7x-8 1…

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Q: Find the coordinates of a rectangle with corner points at A: (2,4), B:(2,8), C: (5,8), and D: (5,4),…

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A: Find the equations of the tangents to the circle x^2 + y^2 + 4x - 10y + 21 = 0 thatThey are parallel…

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Q: as the center of dilation. Point A(4, -9) is translated along the rule (x, y) - (x - 8. y+ 2). What…

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Q: Find the point(s) on the surface z^2=xy+1 which are closest to the point (10,11,0).

A: We have to find the the point(s) on the surface z^2=xy+1 which are closest to the point (10,11,0).

Q: 4. Determine the slope of the common tangent to the parabolas y=x² +1 and y=-x² - 1. y=x*2+1 (a, b)…

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Q: Determine the points of intersection of  y=x^2   and   y=x+1

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Q: For f(x, y, z) = x^2 − 6x + y^2 + z^2 , describe and draw the level surface for the function value…

A: Let w=f(x,y,z) . The level surfaces of w=f(x,y,z) results, when w=k slices the the function,…

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A: From the equation of tangent, we can derive: z = -(7 + 5x + 4y) Hence,

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Q: x-2 What is the equation of the tangent line of y at the point x = 3 ? 2x-5

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Q: a) Determine the point at which the slope of the tangent to each parabola is zero. i) y= 6x2-3x + 4…

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Q: a) y = x' – 9x?

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Q: The following line intersect with the xz-plane. What is the point? x = -2; y = 4+2λ; z = −3+2

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Q: Show that the distance between the line 3x 4y + 3 = 0 and the point (1, –1) is 2. |

A: In this question, we have to prove that the distance between line and point is 2.