Given a level surface x + y - - z = c. %3D a) Identify the level surface that contains the point (3,1,– 4). Hint: Rewrite the equation in its standard equation. b) Sketch the level surface and label all intercepts.

Q: (d) Find the Cartesian equation of the plane that contains both the line L2 and the point A

A: Introduction: The scalar product of two vectors OA and OB is given by, OA·OB=OAOBcosθ The vector…

Q: Find the points where the liner(t) = 4 − 3t, 8 + 7t, 5 + t, −∞ < t < ∞,intersects each of the…

A: The point where the line intersects co-ordinate planes, one of the co-ordinates must be zero.

Q: The midpoint of is M(5, -2)M(5,−2). If the coordinates of AA are (6, -5)(6,−5), what are the…

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Q: Plot the points A = ( - 1, 8) and M = (2, 3) in the xy-plane. If M is the midpoint of a line segment…

A: We have the following information    We have to plot the points A = ( - 1, 8) and M = (2, 3) in…

Q: (a) Identify and graph the quadric surface -r - y + 2? = 1.

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Q: The center of a ceiling fan is at (2, 8). If the radius is 12in, what equation represents the outer…

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Q: XZWY is a rhombus with diagonals XW and ZY intersecting at point M. Given YMX = 3p + 6, solve for…

A: diagonals of rhombus makes right angle at ntersection point

Q: Which point is one fourth of the way between point A and point B on the line segment AB shown on the…

A: Here we will find the point which is one forth of the way between point A and point B,

Q: Calculate (2 + x²y) ds where C is the upper half of the circle x² + y? = 1 (y>0) -1

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Q: Graph the Image of rhombus TUVW after a reflection across the line y = x. (v.x)

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Q: identify the following quadric surface x^2/6 + y^2/6 + z^2/16 =1

A: This question is related to Quadric surfaces, we will solve it using given information.

Q: Evaluate . (x² +y) dS where C is given as the part of the circle x? + y² = 9 between the points %3D…

A: given integral ∫Cx2+ydS where C is given as the part of the circle x2+y2=9 between the points 3,0…

Q: What is the equation of a circle that passes through the vertex and the points of latus rectum of…

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Q: Describe in words the surface whose equation is given. p = 5

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Q: Which is the fourth point on plane TSW? T. U O Y

A: A plane is a 2-dimensional surface. It can have an infinite number of points. A plane is composed of…

Q: find the value of y such that the points are collinear  (5,5) (-1,y) (2,4)

A: if three points are collinear then it means they cannot form a triangle so the area of triangle in…

Q: Identify the type of surface (in space) given by the equation, and sketch the surface. a. x^2+y^2=25

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Match the surfaces (a)-(e) with the contour diagrams (1)-(V, (M)

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Q: For X-bar = 20, Y-bar = 200, Sx = 100, Sy = 60, RY = 0.5, n = 50, the value of the y- %3D %3D %3D…

A: The regression equation of Y on x is given by, Y - y¯=byx(x - x¯) where, byx is the regression…

Q: Sketch the given surface

A: Given: x42+y82+z122=1 The given equation is an ellipsoid.

Q: Based on the trapezoid shown in the standard (x, y) coordinate plane above, what is the slope of the…

A: Here ABCD is a trapezoid and AB parallel BC which also parallel to the X axis

Q: find the equation of a sphere with the line segment AB as one of its diameters, where A(-3, 2, 1)…

A: We have to find the equation of a sphere with the line segment AB as one of its diameters, where…

Q: Evaluate (r2 + y?)ds, C is the left half of the circle with radius 4 centered at (0,0) and is…

A: We calculate this by using concepts of line Integrals !

Q: Calculate the distance between the given points and determine if they are collinear. A = (6, 2, 1),…

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Q: Name the surface and graph the given equations in R’: . z+x = 1 b. 2x+3y = 6 с. у%3Dsin x d. z =1- y…

A: (d) Given z=1-y2 we write it as y2=1-z This is the equation of a parabola. For plotting it, we make…

Q: Find y dA, where D is the triangle with vertices (0,0), (1,2), and (3,0).

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Q: Name the surface and draw an accurate Graph of y = x +z? in R'.

A: The surface is an paraboloid. The general equation of a paraboloid that is symmetrical about the…

Q: Find the coordinates of the midpoint of the segment that joins the points a) (a, 0) and (0, b). b)…

A: Givena a, 0 and 0, bb 2a, 0 and 0, 2bMidpoint =x1 +x22 , y1+y22

Q: What is the standard form of equation of a circle centered ar C(h, k) whose radius is r? A (x-h) +…

A: Solved below

Q: Find the distance between a point (6, 9) and a horizontal line at y = 5. O A) 14 B) 4 C) 15 O D) 11

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Q: Which equation represents a circle with center (1, -3) and radius of 16 units? O (x+1)2 + (y-3)2 =…

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Q: Evaluate (x+ y)ds, where C is the top half of the circle x² + y² = 4, oriented counterclockwise.

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Q: In ARST, SV bisects y ZRST. Find the coordinates of point T in terms of a. S (a, a) 2a T?, ?) V (2,…

A: Given that, Let ∠TSV=θ and ∠VSR=θ(∵SV is angle bisector)

Q: Which point is three fourths of the way between point A and point B on the line segment AB shown on…

A: follow next step

Q: What is the equation of a circle with radius 3 and center (3, 0)? A. x2 + y? + 6x = 0 B. x2 + y? –…

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Q: What is the standard equation of a circle with radius 7 and is concentric (same center) with the…

A: Given:- x2 + y2  +2x-4y=5 To find:- Equation of circle concentric with given circle and radius 7

Q: Identify the surface with equation o = = 7

A: Spherical coordinates: The point Pρ, θ, φ represents a point in the spherical coordinates, where ρ…

Q: Which point is three fourths of the way between point A and point B on the line segment AB shown on…

A: To determine which point is three fourths of the way between point A and point B on the line segment…

Q: Find the midpoint M of the line segment joining the points A = (7, 1) and B= =(1, 5). %3D %3D M = OD

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Q: What is the distance between the center of the two circles whose equation is r +y + 6x + 10y – 12 =…

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Q: Which of the following represents two lines that are coplanar and do not intersect? (A Perpendicular…

A: Given that Two line that are coplanar and do not intersect

Q: Give the Cartesian equation of the locus of points P(x, y) given that P is 5 units from the point…

A: Any point on the Cartesian plane is represented as x, y. The locus is a set of points on the…

Q: Graph the first-octant portion of each plane.y + z = 5

A: y+z=5 We need to graph the first octant portion

Q: Given the curve ax? = y³, find the shortest possible distance between the curve and the point…

A: I am attaching image so that you understand each and every step.

Q: Calculate the distance between the given points and determine if they are collinear : A = (6,2,1),…

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Q: Graph the first-octant portion of each plane.x + y = 4

A: Consider the given plane. x+ y=4⇒y=4-x Assume some test points and make a table of values as…

Q: Given the radius r = 12 and center (-7,10), find the standard equation of the circle. O (x+7)² +…

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