Which of the following is the normal plane equation to the curve that is the intersection of both the curves: y+z=4 x+y+z=2 x+y=2 x+z=4 9x+2y2-16z=0 and 3x+2y+z-22-7=0 at (2,-3,2).

Q: Find three different pairs of parametric equations for the line segmentthat starts at (0, 0) and…

A: Direction ratio is = (6-0, 6-0)= (6,6) That is equivalent to (1,1) , (2,2) and (3,3)

Q: The curve y + 22 = 25 is translated to a new position in the plane and the equation of the new curve…

A: Suppose y+x2=k is any function, where k is constant. Then, in the new translated function…

Q: Q5) Find the coefficients a, b, c and d such that the curve defined by; y = ax³ + bx² + cx + d,…

A: Given: The curve y=ax3+bx2+cx+d passes through the points 0, 10, 1, 7, 3, -11, 4, -14. To find: The…

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

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Q: (2x + 3)y' = y + √2x + 3, when x = -1, y = 0.

A:

Q: Graph the relation of equation x2/4 + y2/16 = 1 using the points calculated in the table below.…

A: Answer

Q: 24 The line y = x - 10 intersects the curve x² + y² + 4x + 6y - 40 = 0 at the points A and B. Find…

A: Consider the given equation of curve, x2+y2+4x+6y-40=0 It is given that the line y=x-10 intersects…

Q: Find all intersections of the curve y = 10 - x and y = x + 8.

A: To find intersection point of the curves.

Q: Q2/ Find the Parametric aned standand equatior of the line Hhat passer through Points (-2,1,0)…

A: The equation of line passing through given two points is given as follows:

Q: Q5) Find the coefficients a, b,c and d such that the curve defined by; y = ax3 + bx² + cx + d,…

A:

Q: Graph the curve given by the parametric equations below, and show its orientation. c=-t², y=-3t,…

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Q: Determine the scaler equation of the plane with × -intercept=2, y intercept=-1 and z intercept=3

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Q: Find the distance from the point (2, 2, 3) to the line x = 0, y = 2+2t, z = 3+ t.

A: Find the distance from the point (2, 2, 3) to the line x= 0, y=2+2t, z=3+t.

Q: O Find an equation for the plane through the point P = (3, −2, 4) that is perpendicular to the line…

A: Given problem:- Find an equation for the plane through the point P = (3, -2, 4) that is…

Q: 3. Trace the curve: y² = x³ + 4x² - 9x - 36

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Q: Find parametric equations for the line in which the planes, X+2y-2z=5 and 5x-2y-z=0 intersects. Show…

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Q: 4. Find the perimeter of a rectangle whose area is 84 m². The length is 5 m more than its width.

A: Let the length is L and width is b. Given: L=b+5 Area of a rectangle=84m2 As we know that the area…

Q: Q: A curve passing through the point (1,1)has the property that the perpendi cular distance of the…

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Q: orthogonal curves of the curves xy=C graph

A: