Which equation represents a circle whose center is located at (-6, 2) and whose radius is /10 units? O A. ( - 6) + (y +2) = 10 O B. (+6) + (y – 2) = V10 O C (- 6) + (y + 2)? = /10 %3D O D. (x+ 6)° + (y – 2) = 10

Q: Find the points on the surface y2 36 + xz that are closest to the origin. (х, у, 2) (smaller…

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Q: How far from the y-axis is the center of the curve 2x2 + 2 y2 + 10x – 6y – 55 = 0? O A. 2.50 ОВ.…

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Q: nissile is propelled from the origin of a coordinate system with the x units

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Q: Find the aren of the region in the tirst quadrant baunded by the line y=27, e the line X-4, the…

A: We first sketch the region using a graphing calculator.

Q: A particle follows the trajectory x(t) = t3 + 2t, y(t) = 20t – t2 with t measured in seconds and…

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Q: The surface of a mountain is modeled by the equation h(x, y) = 5000 − 0.001x2 − 0.004y2. A mountain…

A: Hints:  The given equation is h(x,y)=5000-0.001x2-0.004y2 and the given point is (500,500,3750). To…

Q: 4.) y = VT, y = 3, x = 0 around the y axis %3D

A: Given, y = x1/2, y = 3, x = 0, we have to find the volume by rotating about the y-axis.

Q: utwards from the point (0 nd S, the top half of the

A: Given, the vector field                        E(x, y, z)=x, y, z-3this vector field can be…

Q: An insect is moving on the surface of a hot plate, the temperature of which at the point x units to…

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Q: The surface of a mountain is modeled by the equation h(x, y) = 7000 - 0.001x2 - 0.004y2. A mountain…

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Q: Find the length of the curve x = y^4/16 +1/(2y^2) between y= -3 and y= -2.

A: we have to find the length of the curve . I have explained in details please see the explanation and…

Q: The temperature at the point (x, y) on a metal plate is T = x² + y2 Find the direction of greatest…

A: The temperature at point (x, y) is given by: T=xx2+y2 To find the direction of greatest increase in…

Q: Q3 Find dyldx on the graph y secx + y = cos2x at point (1, 2).

A: We have to find the derivative of above function at (1,2) Please see the explanation below

Q: Find the standard form for the equațion of a circle (x - h) + (y – k)² = r?. with a diameter that…

A: topic - equation of a circle

Q: How far from the y-axis is the center of the curve 2x2 + 2 y² + 10x – 6y – 55 = 0? %3D 2.50

A:

Q: b. x=Jy+9,x=0, y =1 through 360° about the y-axis.

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Q: 1. What is point-slope form? А) Ах + Вy %3D С y2 - Yı В) т%3 X2 - X, С) у - У1 %3 т(х - х) D) у %3D…

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Q: Show that the function (x2+y2 t224이) is a Solution of Loplace's equation d2u dy?

A: It will be solution of given Laplace equation only when, it will satisfy it.

Q: The equation of the line tangent to the intersection of two surfaces 2 = a2 and z 25- y? at the…

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Q: Sketch the graph of the cylinder given by 4x2 + 9y2 = 36. show solution

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Q: An equation for the level surface passing through the point (2,0, - 1) is z =

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Q: y = VT, y = 2 - x and r O about the x-axis?

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Q: The temperature at the point (x, y) on a metal plate is x² + y? " Find the direction of greatest…

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Q: Which of the following is the cross-section of this solid?

A: Find the cross section area

Q: Q3/ Find the angle between two curves: 3 x2 , y = x² y = 2

A: Please see the answer in step 2

Q: 26. A cross section of the parabolic mirror in a car headlight is modeled by y = 12x. Where should…

A: Given that a cross section of the parabolic mirror in a car headlight is modeled by y2=12x. Clearly,…

Q: Evaluate |-y dx+x dy , where C consist of the curves along the horizontal line from (-4,4) to (-2,4)…

A: The given integral is: ∫C -ydx+xdy Where C consists the curve along the horizontal line from -4,4 to…

Q: l, (2 Y - x ) dA,where R is the region of the first quadrant bounded by the circle x2 + y? = 4 and…

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Q: (y - eCos(e25! dx + (x2 + y+1) dy, where C is the circle r = 2.

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Q: Find the length of the curve r= e2θ, 0≤θ≤2

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Q: 1. Find the length of the curve 4Y, 1<Y<2 8

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Q: Find the point on the line y = x closest to the circle of radius 1 and center (5, 2) using Lagrange…

A: Please refer to the image below

Q: Find the length of the curve x = y2 — 2y, 0 ≤ y ≤ 2.

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Q: 2. Trapezoid QRST with vertices Q(3. 1). R(5, 2). S(10, 0), and T(4, -3); 270° counterclockwise…

A: Procedure for rotating shape about a point ( not origin) 1). Subtract the point of rotation from…

Q: An insect is moving on the surface of a hot plate, the temperature of which at the point x units to…

A: As a first step we need to find the gradient of the surface and evaluate the same for the point (1,…

Q: The slope of the surface z = xy2 in the x-direction at the point (2,3) is ______, and the slope of…

A: Given, surface, z = xy2Differentiating the z with respect to x assuming y as constant,∂z∂x = y2×1 =…

Q: Find the point on the graph y=Vx+1 that is closest to the point (2, 1).

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Q: Q: Find the point on the curve 4x' +a'y = 4a', 4< a < & that is farthest from the point (0,-2).

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Q: y = mx + b is called the v ---Select--- rm of the equation of a line. standard Additional Materials

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Q: Find the point on the line y = x closest to the circle of radius 1 and center (5, 2) using Lagrange…

A: First I have find the function f(x,y) and then decide the constraint.Then using Lagrange multipliers…

Q: The equation of a circle in the zy-plane is 2 + 4x + y? – 10y = 20. If the line z= k intersects the…

A: Consider the equation of circle in xy-plane given by x2+4x+y2-10y=20 If the line x=k intersect the…

Q: Consider the equation d'y da² +y = 3x², with the boundary conditions (0,0) and (2.31145, 4.62291).

A: To Solve: The given differential equation d2ydx2+y=3x2, with boundary conditions (0,0) and…

Q: b) Find the points on the curve 2 17x + 12xy + 8y“ = 100| that are farthest away from the origin…

A: Substitute x = rcosθ and y= rsinθ

Q: ind the equation of a line tangent to the circle x2 + y2 - 8x -14y + 52 = 0 at point (7,5) a.…

A: we have the equation of circle is  x2+y2-8x-14y+52=0  .........(1) differentiate with respect to x

Q: Find the maximum and minimum values f(1, y) = zy takes on the circle %3D r + y² = 12.

A: Lagrange multipliers method: First solve the following systems of equations: ∇fx,y=λ∇gx,y. The…

Q: Suppose that dy xy + x d.x and that the point (5,0) lies on the graph of (x, y). What is the value…

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Q: How far from the x-axis is the center of the curve 2x2 – 2y2 + 10x – 6y – 55 = 0?

A: The given equation of the curve is: 2x2 – 2y2 + 10x – 6y – 55 = 0 This can be written as:

Q: х2, у3D 12 — х, х 3D 0, around line y — -2

A: the function given to us is y = x2 and the line about which it revolves is y = -2 we have to use the…

Q: The length of the curve 4/2 3 y = xi - 1,0 < x < 1 is .

A: Given,            The length of the curve y=423x32-1 , 0≤x≤1 is 136.To find : Check whether the…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.