Problem 2 (a) # fc [37 – + ] dz (z+3i)* Evaluate -- - z+3i where C is the circle Z + 3i| = 7+ 7, 0 < 0 < 2n

Q: Problem 102 Find the slope of the cardioid r=3+8sin 0 at 0 = 1/6. а. -1 с. -б b. -2 d. -3

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Q: Problem 3. Calculate the first fundamental forms of the following surfaces: (a) x(u, v) = (u - v, u…

A: According to guidelines we should have been able to solve only first question at a time #3

Q: Problem 2: A torus is the surface obtained by rotating a circle of radius r in the xz-plane,…

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Q: Problem 3: The equation ax + by + cz = 0 describes a plane in R that passes through the origin. The…

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Q: QUESTION 3. Maximize xyz on the ellipsoid

A: I am doing first question

Q: Problem 4 B Find, by using polar coordinates in R?, the volume of the region bounded above by the…

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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. (6 Points) Calculate the first fundamental forms of the following surfaces: (a) x(u, e)…

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Q: 3. Where do the asymptotes intersect for the hyperbola y = ( 2x +3 ) / ( 8x +5 ) O ( 3/8 , 2/5 ) O…

A: Given : Hyperbola y =2x + 38x + 5   To find the asymptotes.

Q: Graph the sets of points whose polar coordinates satisfy the equationsand inequalities 0 ≤ r ≤ 2

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Q: 12. 9x²-16y -90x+64y+17 = 0 | 2. 250-

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Q: 21. x+y -2x+4y-4=0 22. x+y +6x-4y-3= Written Math- E Transform each equation into center-radius…

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Q: Problem 5 Let D be the region in the ay-plane where * + y < 2r, * + y* < 1 y 20 and and For any…

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Q: Problem 3: Evaluate ff,F· dA using Gauss, where F = half of the sphere x2 + y? + z²2 = 9. (2²x, y³ +…

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Q: Problem 2. Identify the following surface by bringing it into a "standard form". Show all the work!…

A: Consider the provided equation,

Q: Form the differential equation representing the family of hyperbola having the center at the origin…

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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: 2. x = --(y+ 4)² + 5 y Vertex: Opens: Focus: Directrix:

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Q: Problem 15 Consider the surfaces z = x² + y² and y = x. (a) Describe two surfaces. (b) Describe the…

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Q: QUESTION 13 List the intercepts and type(s) of symmetry, if any. - x2-7 y. intercept: (0, 0)…

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Q: In Problems 7–12, identify the conic that each polar equation represents. Also give the position of…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Problem 1: Find the area of the surface generated when the given curve is revolved about the y-axis.…

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Q: Problem 1 (a) Let f (z) = x² + iy² where x and y are the real and imaginary parts, respectively of z…

A: As per our guidelines, we supposed to solve the very first question if multiple questions are posted…

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: Problem 6: Find the surface area of the surface generated by revolving the graph of f(x) = Vx from x…

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Q: 14. Transform the equation in generai form. Answer choices and input (x+3)* +(y-4)° = 36 %3D O x+y…

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Q: 2. x = --(y+2)² + 7 Vertex: Opens: Focus: Directrix:

A: Given,  x = -14y+22+7   We have to find vertex, opens, focus and directrix. and graph the function.…

Q: Find the midpoint of each line segment whose end points are (-4,-4) and (10,2). (-3,-1) (3,-1)…

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Q: Problem 4. Find fe F- di where C is a circle of radius 2 in the plane z + y+ z = 9, centered at (4,…

A: By stoke's theorem, ∫cF.dr =∫∫ScurlF. Nds We know that curl F=∇×F…

Q: 4x^2 - 3y^2 + 12z^2 + 12 = 0

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Q: Problem 4.9 Sketch the curve of %3D x3 + 1

A: The given function is y=x3x3+1

Q: Problem 4 A mound of blue powder dye is placed on a flat surface in the x-y-plane as shown. The flat…

A: Given: The top surface of the mound is defined by zx,y=sinxsiny and the surface is a square of the…

Q: Problem 2: Let C be the boundary of the triangle with vertices 0, 2+ i, and 3i. (a) Find the line…

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Q: Tangent PA and PB are drawn to the circle x2 + y2- 6x + 4y + 3 = 0 from the point P(-2, 4) then…

A: x2+y2-6x+4y+3=0 Now, compare above equation with x2+y2+2gx+2fy+c=0. c=3,g-3,f=2 So, the center and…

Q: Page 9 9. The curve y = x2 with 0Sx<1 is rotated about the y-axis. Find the exact area of the…

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Q: Consider the two points P1(-1,2) and P2(1, 3) in the xy-plane. Question 14: 1. Find the distance D…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 8.44.) In Ax² + Cy² + Dx + Ey +F = 0, show that if A and C have the same signs, then the graph of…

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Q: Find the parametric equa

A: Given, the line in ℝ3 containing the points P=(-2, 5, 4)  and Q=(-4, 1, 1).

Q: Problem 2. Evaluate | (z+1) dz where I is the boundary of the rectangle with vertices at the points…

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

Q: Question 2 Reduce the equation to one of the standard forms in order to classify the surface. y…

A: The given equation is y=x2-6x-z2+9.

Q: Problem #4: Find the slope of the line tangent to (х-3) + (y-2)² = 1 at (3,7). the conic section 36…

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Q: Question 19 Find the center of 2 circles tangent to x² + y = 100 %3D at (6,-8) having a radius of 15…

A: Given: x2 + y2 = 102      center: 0,0, radius = 10                     1Tangent at 6,-8.…

Q: Work Problem 2 1 TLet C be the line segment from A(0,-3) to B(-4, 1). a) Sketch the graph of C, and…

A: Given: A(0,-3) to B(-4,1)

Q: Question 4 A parametric equations for the circle x² +y² + 4x – 12y = 60 are O A.x =6 + 10 cost, O…

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Q: Illustrate a poincare disk with two distinct hyperbolic triangles.

A: We have to write four axiom to prove this .

Q: Problem 6. rotating D about the line x= -4? important for solving this problem?

A: We will use second theorem of Pappus According to it volume  of a solid generated by the revolving…

Q: 1一 The equations of asymptotes of the hyperbola y=2+x-1 are Select one: None y= ±2x y= ±x y32+x

A: Giveny=2±x2-1

Q: 7. Evaluate [4y-xds where C is the upper portion of the circle centered at the origin of radius 3…

A: To Evaluate: ∫C(4y-x)ds, where C is the curve represented in the given figure.

Q: Problem 11. Let F = (22y, a3y, zy). Find F. dr where C is the triangle (with counterclockwise…

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Q: Question 3 Let F=-yi+xj and let C be a curve consists of the line segment C₁ from (0,0) to (4,0)…

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