Problem 1. ad the points on the sphere r² + y² + z? = 9 that are closest to and farthest away

Q: 4. What is the equation of a circle with center (2, 4) and radius 5? F. (x – 2)2 + (y – 4)2 %3D - -…

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Q: QUESTION 3. Maximize xyz on the ellipsoid

A: I am doing first question

Q: Problem 3. Suppose a robotic arm consists of two segments of lengths L, and L2 (sce Fig. 2). Let L1…

A: Given that: L1=5, L2=3θ1=θ2=θ According to parallelogram law: r→=L1sinθ1+L2sinθ2, L1cosθ1-L2cosθ2…

Q: Direction is provided for the sphere problem

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Q: Problem 1. Parametrize the following surfaces: (a) 2x + 3y + z = 6. (b) z = 9 – Vx² + y?. - (c) x² +…

A: As per Bartleby's answering policy, we can answer only one question with a maximum of three…

Q: Problem 8. Use the Lagrange Multiplier method to compute the extreme values of the function f(x, y)…

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Q: PROBLEM 2 • Obtain a DE of the family of parabolas with axis parallel to x-axis. Draw some…

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Q: Problem 2. Find the value of a > 0 such that the cone 22 = x² + y?, z > 0 is orthogonal to the…

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Q: 16. The equation of the circle passing through the point (2, 7) with centre at (1, 3) is A. (x – 2)²…

A: NOTE: Hi! Thank you for your question. As per the honor code in the time of multiple questions we…

Q: Problem 6: The vertices of an equilateral triangle are A( - 1, 4 ), B( x, - 2 ) and C( 3 2,1). Find…

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Q: Find the equation of a circle that has its center at (6, -4) and has a radius of 3. ( x + 6) 2 + (…

A: Please refer the attached image for complete solution.

Q: Problem. 12.1 : Write the equation of the surface in rectangular coordinates. x^2/9+y^2/4

A: According to our norms we can't give solution to every question.If you want solution of the rest…

Q: Problem 3. Calculate the surface area, Area (S) = || ds z+ z3 +1 dA, of the part of the paraboloid z…

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Q: Problem 1. Find Fn dS if S is the sphere (x-1)´+y+z=1 , S and F(x, y,z)= (x³, x²y , zy°) . 2

A: n = 820 , x=22 Po=xn=22820=0.0268 npo(1-Po)=820(0.0268)(1-0.0268)     = 22(0.9732)           = 21.41…

Q: The surface of equation + = 1 is: A cone O An ellipsoid O A sphere O A circular cylinder

A: The given equation is, x24+y29+z216=1

Q: QUESTION 2 Utilizing the method of completing the square, determine the center (h,k) and the radius…

A: Given that equation of a circle  To find  The center and radius of a circle

Q: Problem 1.3. Make a 3D model for the solid that lies under the surface z =1-4x² y? and over the unit…

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

Q: In Problems 69 and 70, find an equation of a sphere with radius rand center P0 .69. r = 1; P0 = (3,…

A: Given: 60. r=1; P0=3, 1, 170. r=2; P0=1, 2, 2 To Find: Equations of the given spheres.

Q: Problem 2 (a) -급 fe| 28 7 + z+2i (z+2i)3 8 Evaluate dz, where C is the circle |z+ 2i| = 8+7, 0 <0…

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Q: 1. Find the center and radius of circle x2 + y--2x-4y+1= 0.

A: 1) To find the center and radius of circle x²+y²-2x-4y+1=0

Q: Problem1: Find the area of a circle of radius r.

A: Solution: The objective is to find the area of the circle with radius r

Q: A circle with radius 2 contains the point (1,-4). Which of the following equations best describes…

A: The given point is 1, -4The radius is 2

Q: Problem 16: Find y if A( 9, y ), B( 4, 3 ) and C( - 3, - 7 ) are vertices of a right triangle with…

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Q: Problem 5: Find the area of the circle with center at ( 2, - 4 ) and tangent to the circle whose…

A: To find the area of the circle with center at 2, -4 and tangent to the circle whose equation is…

Q: 1. The point (3V2, 3/2) centered at the origin. lies on a circle Whet is the oirele2 Show

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Q: In Problem,find the equation of a sphere with radius r and center Po r = 2; P0 =(1, 2, 2).

A: The sphere is a three dimensional round shaped solid. The radius of a sphere r is the distance from…

Q: QUESTION 11 What is the axis of symmetry for h(x) = 3x2 – 5x +6? 5 6 OB. 3 2 OCx = - 5 OD. 5 X= - 12

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Q: 2. Sketch the graph of the cylinder given by 4x? + 9y² = 36.

A: Graph of the cylinder. You can assume that the the elliptical like shape is above the given figure…

Q: (z-2) Problem 6/ Evaluate dz , knowing that the contourc represents the circle |z+2|=1. (z-1)(z+2)*

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Q: Question 3 5 Find the point symmetric to about the y-axis. 2'6 5 2л 2' 3 b) O 5, 5 5л c) O 2' 6 d) O…

A: Given point is 52,π6We know that if a point (x,y) is symmetric to Y-axis means it will be mirror…

Q: Problem 16 Find the dimensions of the rectangular box of maximum volume that can be inscribed inside…

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Q: QUESTION 2 The y-coordinate of the centre of the sphere x2+y2+z²-5x+9y+z-12-0 is y= (Round your…

A: The given equation of sphere is:x2+y2+z2-5x+9y+z-12=0

Q: Practice Problem #11 Convert the following rectangular equation: x^2 + y^2 = z^2 into spherical…

A: Given, x2+y2=z2 we have to convert the following rectangular equation into an equation in spherical…

Q: Problem 2 (a) Evaluate -+ fc 27 dawhere C is the circle |z+ 2i| = 7+ 4, 0 < 0 < 2m z+2i (z+2i)³…

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Q: Problem 2. Use spherical coordinates to find the volume of the solid within the sphere r2+y? + z2 =…

A: z=ρcos(ϕ)x=ρsin(ϕ)cosθy=ρsin(ϕ)sinθz=x2+y2ρcos(ϕ)=ρsin(ϕ)cosθ2+ρsin(ϕ)sinθ2…

Q: 1. (a) Show that the equation of the osculating circle to the parabola y = x? at the point (a, a?)…

A: Solution...

Q: 15. Complete the squares on x- and y-terms of the circle: 4x + 24x + 4y + 36y =0. SLO 12

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Q: Problem #12: Let d be the minimum distance from a point on the graph of y = 4e to the origin (0, 0).…

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Q: Chapter 1.5: Problem 5 Previous Problem Problem List Next Problem (1 point) Find the midpoint…

A: The formula is on the board.

Q: the problem. 4) A bridge is built in the shape of a semielliptical arch. It has a span of 106 feet.…

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Q: Problem 1. Parametrize the following surfaces: (a) 2r +3y +2 = 6. (b) 2 = 9 - V + y?. (c) r + = 4.…

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Q: If the radius of the circle x2+y2-8x+10y+k=0 is 9. Then find the value of K

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Q: Question 10 What are the coordinates of the endpoints of the focal width of the parabola (x + 6)² =…

A: Topic = Coordinates geometry Correct option = C

Q: 1. (a) Show that the equation of the osculating circle to the parabola y = r at the point (a, a?)…

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Q: Problem 5. Find the standard form of the equation of the circle x² + y² − 2x +12y + 12 = 0. Then,…

A: The standard form of a circle is (x-h)2+(y-k)2=r2 where (h, k) is the center of the circle and 'r'…

Q: 1. (5 points) Given the equation of a circle 2x2 + 2y2-32x + 12y + 90 = 0 Rewrite it in the standard…

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Q: Question 4: The centres of those circles which touch the circle, x2 + y2 – 8x – 8y – 4 = 0,…

A: Introduction :

Q: Problem 2 A surface in R3 is defined by the equation z2 +1 = x² + y?. Sketch the intersection…

A: Given, z2+1=x2+y2.   XY trace: Put z=0, we get x2+y2=1. It is a circle with a unit radius and…

Q: Problem 2. Find the value of a > 0 such that the cone 22 = x² + y², z > 0 is orthogonal to the…

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