QUESTION 3 Find the equation of the axis of symmetry y= 2(x-9)2+ 10 T T T T Paragraph + Arial + 3 (12pt) T T, 2 T fx * Mashups HTHL CSS Path: p II !!!

Q: 4. Trapezoid JKLM with vertices J(2, 1) , K(5, 1), L ^ n * (8, - 4) and M(1,-4);90 ° clockwise…

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Q: 3. Draw isoclines (include at least c = -1,0, 1) with their direction markers and sketch the curve…

A: Step:-1 Given differential equation is dydx=y+x2  with y-2=2 Part (a):-  Isoclines is a curve on…

Q: 9-20 Find the exact length of the curve. 9. y = 1 + 6x3/2, 0<x<1 10. 36y2 :< 3, y 0 %3D x³

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Q: A Curve a with aca) = (2,4,4), 2e2) = (0 ,2 54). %3D %3D Find Kea), B)

A: We will find out the required value for given curve.

Q: Draw the isoclines with their direction markers and sketch several solution curves, including the…

A: Given  dydx=y→       1             dyy=dx          ln  y=x+C            y=C1  ex     →        2…

Q: 21 7. The centre of symmetry of the curve y = ² - 4 1z ±2 is A (0,2) в (20) с (0,0)

A: Given that: y=2xx2-4

Q: Find the orthogonal trajectory of the given family of curves. y=(ce^(x))/x

A: According to the given information it is required to find the orthogonal trajectory of the given…

Q: 5) Find the shortest distance from the point P(3, 2,1) to the plane with 4. equation 2x + 3y – 2z =…

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Q: 1. Using Euler's equation, show that the shortest distance between two points (r1, yn, z1) and (r2,…

A: Given, the points are (x1, y1, z1)   and  (x2, y2, z2).

Q: Question – 6: Travelling Salesman Problem Suppose that 9 points are distributed across a…

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Q: Chapter 11, Section 11.4, Question 029a Consider the parallelepiped with adjacent edges u = 5i +…

A: Since you have posted multiple question in this question so I have solved first question as per our…

Q: Point TT is located at (-1,1)(−1,1) on the coordinate plane. Point TT is reflected over the yy-axis…

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Q: Find the orthogonal trajectory of the given family of curves. (x^2)+4xy+(y^2)=c

A: Given family of curve                                               x2+4xy+y2=c we have to find…

Q: Trapezoid PGRS with vertices P(-6, 2), G(-2 -0, R(-2 -3), and S(-6, -6), reflect in the linex-1 (4)…

A: We need to draw transformed image.

Q: Find the orthogonal trajectory of the given family of curves: 1. у%3DG;(sec x + tan x)

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Q: The curve y et and the lines y = 0, x = 0, and x = In 2 %3D

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Q: Chapter 33, Section 33.4, Question 41 Find the maximum, minimum, and inflection points for the curve…

A: Given y=xlnx

Q: Find an equation for the set of points P(x, y) in a plane the sum of whose distances from two fixed…

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Q: Exercise 1.2.16 Find the circle x²+y² +ax+by+c=0 passing through the following points. а. (-2, 1),…

A: a) The given equation of the circle x2+y2+ax+by+c=0 Since the points (-2, 1), (5, 0) and (4, 1)…

Q: Which of the following is the orthogonal trajectory of the family of 8. curves cz? + y? = 1?

A: Given: The given curve is cx2+y2=1

Q: A circle has a center at the origin and has a radius of R. If x = 10 and y = 20, determine the slope…

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Q: C is polygonal path from (0, 0) to (3,0) to (3, 2); the sur- face is f(x, y) = 2x +y

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Q: 3. Rhombus KLMN with vertices K(-3, 2), L(1, 4), M(-1,0), and N(-5, -2): (x, y) → (x, y- 5) 4. Re…

A: First we draw Rhombus KLMN and then Draw Rhombus K'L'M'N' .

Q: Зу — 4у 3D —х — 2 The curve above can be parameterized as which of the following pairs of equations?

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Q: 1. The curve y = x? – ax + b has turning point (1, 3). Find a and b.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Re Question 17 Find a parameterization for the line segment from (2,-1) to (-6, 4). a) O (t) = -1–…

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Q: Chapter 11, Section 11.6, Question 043 Find the distance between the point (4, –9,5) and the plane…

A: The given point and plane is (4,-9,5) and 2x-2y+z=2

Q: Question 8 Find the equation of the plane that passes through the points A = (2,4, – 3), B =…

A: Plane problem....

Q: (x,y) = (M,N) = (0,2) 1.Determine which of the following complementary equations passes through the…

A: As per our guidelines, we are supposed to solve only first three subparts. Kindly repost other…

Q: Find the orthogonal trajectory of the given family of curves: 1. y = C (sec x + tan x) 2. x = C,es*…

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Q: 5/ Find the point at which the line through points P1(2. 3, 0) and P2 (-6. -3, 12) meets the plane…

A: Consider the points  P12,3,0 and P2−6,−3,12

Q: II. Use Theorem 6.1.1 or Theorem 6.1.2 to solve the following problem: What are the equations of…

A: From the given data, Assuming the illustration in a 2D space. Let P=α,β Then, O be the origin.

Q: (0,4) (8,12.5) (6,7.5) Using the three coordinates from above, create a parabolic model H(x) in…

A: To find the equation of parabola

Q: v = (2x² – y² +4)i+(5y+3x – 6)j . Consider two closed paths starting (and ending) at a dock located…

A: Let A=(-1,0), B=(2,0), C=(0,2). Now,∫path 1v.dr =∫path 12x2-y2+4dx+5y+3x-6dy…

Q: 2. Let C be the closed path constructed by joining the segment [-2, 2] on the real axis with y(t) =…

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Q: B': 3. Trapezoid FGHI with verlices F(-5,-2), G(-2,-2), H(0, -6), and (-8,-6): y-axis F': H: G: I':

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Q: 4.)It is known that the plane α passes through the point (2, 1, 3) and contains the line g with the…

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Q: 7-12 Find the exact length of the curve. 9. x = y/2, 0 <y<1

A: Length of curve is given by ∫y = ay = b1 + dxdy2dy

Q: (1) Give two different parameterizations for each of the following curves. (a) The line segment from…

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Q: (c) 7/2 0. 2 3 4 5 6 7 This graph is Select--- with equation Select-- cardioid (d) convex limaçon /2…

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Q: 2. Center: (2, -1) Focus: (2, -31) Vertex: (2, 23) (v+1)° ¸ (x-2)² [A] = 1 576 324 (y+1) _ (x-2)*.…

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Q: A circle has a center at the origin and has a radius of R. If x = 10 and y = 20, determine the slope…

A: Given that, There is a circle which center is at origin anf the radius is R. x = 10, y = 20 We have…

Q: 3. 4. Circumscribing the triangle with vertices (a, U), (a, d), (U, %). 2a = 0. Ans. z2 + y+ ax- ay…

A: In the question we have to find equation of circle circumscribed in a triangle. NOTE - As per…

Q: QUESTION 10 The line L(t) = (-1+t,3-t,1-t) intersects the plane x - 2y-z=4 at the point P(2,0, – 2)…

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Q: QUESTION 4: Show that the lines with symmetric equations x y = z and x + 1 = are skew lines.

A: To proove:- Show that the lines with symmetric equations x = y = z and lines. x + 1 = y/2 = z/3 are…

Q: 3. Find the orthogonal trajectory of the given family of curve x2 + y² = C1

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Q: Question 4. Find the absolute maxima and minima of f (r,y) e- (+ y) on the closed triangular plane…

A: An absolute maxima is a point where the function obtains its greatest possible value. An absolute…

Q: Page 2 of 6 8. Determine the point of intersection of the three planes T: x+ 3y-z+ 9 = 0 Tg:…

A: We have to find the point of intersection of the given three plane.

Q: Consider the path equation r = (cos(t), t) = cos(t)ˆx + tyˆ.    For which time value t ∈ (3π/2,…

A: The radius of curvature at each point of the curve, ρ:ℝ→ℝ, is given by:ρ=r'3r'2r"2-r'·r"2…