Give a geometric description of the set of points whose coordinates satisfy the given conditions. 8) (x – 7)2 + (y – 10)2 + (z – 10)2 < 4 -

Q: 3n Q10:- Show that the point (2,) lies on the curve r=2sin 20. 4

A: 10) Given curve is r=2sin2θ show that (2,3π4) is a point lies on the curve

Q: Of all the points on the graph of z = 10 - x^2 - y^2 that lie above the plane x + 2y + 3z = 0, what…

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Q: give a geometric description of the set of points inspace whose coordinates satisfy the given pairs…

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Q: Suppose f(x, y, z) = In(7x + 9y+7z). Find an equation for the level surface of f that passes through…

A: Given Data: The level of the curve for fx,y,z=In 7x2+9y+7z2 is of the form,…

Q: 2 2. Find an equation of the plane containing the point P(0, -) and the line determined by the two…

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Q: 18.8. (a). Let y be the contour z = e", - TOST traversed in the %3D positive direction. Show that,…

A: To solve the given question we shall use the following formula: Cauchy integral Formula: Let C be a…

Q: 10 Given: Y is the midpoint of XZ Y Prove: XY = XZ Reasons

A: Since, you have posted multiple question. We will solve the first question for you. If you want any…

Q: 13. Find the distance between the two given parallel planes. x+y-3z = 4 x+y-3z=12

A: Given that:

Q: +3そ20 22 Prove that the line X21+2t ニー+3t is perpendicular to the plane X-2y+zz6

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: 2. XY has an endpoint X at (2,– 4). If the midpoint of XY is (– 3,– 1), what are the coordinates of…

A: The midpoint of two points and is given by: where are coordinates of the midpoint.

Q: c) Find the minimum distance from the point (4,0,6) to the plane x- y +2 = 3

A: The solution is given below. .

Q: E. Determine the set of points satisfying the condition described by |z – 2i| + |z + 4i| = 10. Then…

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Q: 6. Given a rule x2 + y2 = 9, its image rule x2 + y2 – 2x + 6y + 1 = 0 under a translation, state a…

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Q: 32. The centre of symmetry of the curve y = * + 2 is at the point A. (0,0) В. (-2,0) с. (2,0) D.…

A: As per the answering guidelines we need to answer only first question so please repost the other…

Q: Find the midpoint of these two points (4, 6) and (7, 10) Use the formulas: x = (x1 + x2)/2 %3D y (yi…

A: Consider the points, 4,6      and         7,10 The midpoints of two points is given by the formula,…

Q: 5. Among all the points on the graph of z = 10 – x² – y² that lie above the plane r+2y +3z = 0, find…

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Q: JK in the coordinate plane has endpoints with coordinates (-4,11) and (8, -1). Find all possible…

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Q: 3. Among all the points on the graph of z = 10 – x² – y² above the plane x + 2y + 3z = 0, find the…

A: As per our guidelines we are supposed to answer only one question at a time. So I am solving the…

Q: Find the points on the cone z2 = x2 + y2 that are closest to the point (2, 2, 0).

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Q: Describe with a sketch the sets of points 1x, y, z2 satisfying the following equations. y - z = 0

A: First sketch the graph of the function y-z=0 as shown below.

Q: with Lagrange Inter lola tion » fmd the Pelynomie with minimum degree that involves the Points be Po…

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Q: 2 b) Prove that Imz=0, larg z - 41= 4, 2-ž =0, 1Z-il=1Ztil are different equations all describing…

A: If we let z=x+iy then We will show that y=0 which is the equation of real axis.

Q: (d) | (3+ecos (0 sd AX ·

A: As per your query the solution of the problem (a) has been done in midpoint rule. For the solution…

Q: give a geometric description of the set of points inspace whose coordinates satisfy the given pairs…

A: Given that: y2+z2=1, x=0

Q: 5. In the standard (x, y) coordinate plane, the midpoint of LM is at (4, –4) and L is at (1,3). What…

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Q: Among all the points on the graph of z = 10 − x2 − y2 that lie above the plane x+ 2y + 3z= 0, find…

A: We have, z = 10 - x2 - y2 and equation of plane is , x + 2y + 3z = 0 The required point on z = 10 -…

Q: 2.2 Find the maximum and the minimum values of f(x,y,z) = 5x – 3y +7z on the sphere x +y +z = 83. 2

A: Here we find the maximum and minimum value of f(x, y, z)

Q: Sketch the solid described by the given inequalities. 3sps 4, os ps a/3, 0S0SR 1.5 21.0 0.5 00…

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Q: 1) Find The coordindtes of the ciritical point Of the 2. Corve Y= メー R.) Find the courdinates Of the…

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Q: Consider the data: 0 1 2 3 4 f(x) -4 -3 -2 5 12 a) Applying the Composite Trapezoidal Rule with all…

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Q: Find the points on the cone z 22 x2 + y? that are closest to the point (-5,2,0)

A: Aim: Find the points on the cone z² = x² + y2 that are closest to the point (-5,2,0).   Basic…

Q: Give a geometric description of the set of points whose coordinates satisfy the given conditions.…

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Q: 2 Find the points on the cone z = x´ + y´ that are closest to the point (2,-3,0)

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Q: Find the points on the cone z2 = x² + y² that are closest to the point (-2,2,0)

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Q: Among all the points on the graph of z = 10-x2 -y² that lie above the plane r+2y+3z = 0, ind the…

A: Given that z=10-x2-y2 and x+2y+3z=0 Find the point which is farthest from the plane.

Q: Find the points on the cone z 22 = x2 + y? that are closest to the point (-3,1,0)

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Q: Find the point on the graph of z = x2 + y2 + 10 nearest the plane x + 2y - z = 0.

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Q: 22=xy represents the origin. ) Prove that the equation with vertex at

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Q: Findauihtvectorhermat to thesuFace X Y +X2=1 et the Point (-1,1,1)

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Q: 6.2 Finl the Voune of the Selid enclosed by the curves y=eX, y=0 x=0,'= "about the x-axs.

A: Given: y=ex, y=0, x=0, x=1 From the given curves the bounded region is as shown below; Apply the…

Q: Consider the equation хд,и — удуи — -и with the initial condition: u(x,y) : = 2 on the circle {(x,y)…

A: Given the equation as x∂xu-y∂yu=-u                  (1) write down the subsidiary equation of (1)…

Q: Find the minimum distance from the point (1, 1, 11) to the paraboloid given by the equation z = x² +…

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Q: Determine the location of a point (x, y, z) that satisfies the condition(s). xy &gt; 0, z = −3

A: Here Our Aim is to determine the location of a point (x,y,z) that satisfiesthe condition(s):→…

Q: Find the points on the cone z2 = x² + y2 that are closest to the point (8, 2, 0).

A: we have given the equation of cone z2=x2+y2 and the point (8,2,0)to…

Q: find the location of a point xyz that satisfies the condition I) xy<0, z=3 ii) |x|<2

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Q: Among all the points on the graph of z = 10 - x2 - y2 that lie above the plane x + 2y + 3z = 0, find…

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Q: Find the set of points that is satisfied the condition described by |z – 2i|+ |z + 4i| = 10

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Q: Describe geometrically all points P(x, y, z) that satisfy the given condition. X = 1

A: Given the points P(x,y,z) that satisfy the condition x=1.