-6 3 Let y = -5 and u = -4 -2 Compute the distance d from 3y to the line through u and the origin.

Q: Determine the value of y in the given equation in the interval [0, 2rT): 2cos-y - 3cos y = -1

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Q: 34. Find the slope of the curve x^2 - 3xy y^2 - 4x + 2y + 1 = 0 at the point (1,-1 O 1/5 1/6 O 1/4 O…

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Q: Find the max. and min. values of (x, y) = x² – xy + y on the quarter circle x² +y =1 where x.y20.

A: I use langrange multiplier method

Q: 4. Evaluate S. (z - 4) dz, where r is a contour from the two line segments, the first from z = -3 to…

A: The given question is related with complex integration. We have to evaluate the integral,…

Q: Ex: Find the distance between the pt G(4₁-4,4) and the line x=2t₁ y=Z-3, z = at +2₂

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Q: 1) Find the legth of the curve; y = e from x =1 to x = 2.

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Q: 1. a) Find the length of the curve: y =+ 2xi 1 [1,2]. 16

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: 1. The ellepse ax? + 3y2 =4 is drawn below. %3D い等)。 Find the slope of he temg ent at

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 2 Find the distance from the point B = [0 5 0 to the line 1 +t| 0 -3

A: Here we will find the distance between the given point and line,

Q: 20. Find the point on the curve y= /x that is closest to the point (3, 0).

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Q: I(v - x)dz + (y – z)dz over the line segment C from P: (1, 1, 1) to Q : (2, 4, 8). Select one: а.-12…

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Q: 11. Find the distance from the point P(-1,2,-3) to the line given by X = x = 2t y =1+t z = 3t

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Q: Evaluate [(-x+y + 2)dx + (x+y-2)dy + (x-y+z) dz where C is the line segment from (-1, 2, 3) to…

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Q: Question 15 Find the distance from S= (1,1,5) to the line L: x=1-t, y=2-1, z=31.

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Q: 6. Find the length of the curve y =-+ from x =1 to x=2. 9. 28x

A: The curve is given by the equation, y=x99+128x7  and the point is given from x=1 to x=2. To find :…

Q: 5 Find the equation of line tangent to the curve y= x+ y at point P(1,3) A 4x - y - 7 = 0 B None of…

A: Given that: y=x+5x

Q: 3. Find the values of x of the curve y = 3x where y' = y" 15

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Q: (6) Find the points on the curve 5x2 + 6xy + 5y² = 9 which are nearest to and farthest from the…

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Q: Q6) Find the distance from the point S= (1, 2, 1) to the line x = 2 -t, y=-1 + 2t, and z= 2 + 2t.

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Q: 42. Find k if the curve y = x2 tangent to the line y = + k is 2x.

A: The given line y = 2x, will be tangent to the y = x2 + k if and only if it touches the curve on a…

Q: (b) the curve x = = y²-y-6 and the line x = = 2y + 4;

A: Given; x=y^2-y-6, x=2y+4

Q: Evaluate S(-x+y+z) dx + (x+y-3) dy + (x-y+z) dz where C is the line segment from (-1, 2, 3) to…

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Q: - Q1. If g = xy — yz — zx and F = x²y ī− 2 y²zj – z²x k, find F. grad g and cross product of F and…

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Q: 37. f dx + g dy; C is the path consisting of the line segment from A(6, 4) to B(1, 2) followed by…

A: According to the given information, it is required to solve the question 37.

Q: 1. Find the length of the curve y = x2 from x 1 to x = 4.

A: According to our guidelines, we can answer only the first question, the rest can be reposted.

Q: 13. y = x², y = 0, x= 1; about the y-axis

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Q: 1 5. Trace the curve r = 2 - sinocos³o.

A: Since, you have post multiple question. I am answering the first one. Please post the question with…

Q: 3 Find the length of the curve y = x² – 2 from x = 0 to x = 4.

A: Given curve is y=x32-2 Upon differentiating we get dydx=32x12 We know that length of…

Q: Ах — 3— 1 Find an equation of the line tangent to the curve y = and perpendicular to the line r + 2y…

A: We have to find equation of tangent line .

Q: The region S = (x, y (x- 2) + y² < 4 is rotated about the line x = 5.

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Q: Graph z(t) = i + 2eit

A: We have to choose abscissa as t and ordinate as y.

Q: 2- Find the value of x which make the line containing CO the Points Cx, 5) and (-2,3). Parallel to…

A: Given condition is that both line are parallel , hence slope of both line are equalslope of line(m)…

Q: Find the values of dz/ôx and az/ðy at the points 31. z - xy + yz + y -2 = 0, (1, 1, 1)

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Q: Q3: Let L: x-2+3t, y 2t-1, z-4t and M: x+2y+z-11, and let (p) be thus point of intersection. Find…

A: given line is                                                         L1: x=2+3t, y=2t-1, z=4tM:…

Q: 12. Let r(t) (4, 12, 13). (2/t, t2 – t, 1+ 3t). Give an equation for the line tangent to the curve…

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Q: 1 + 12 8x*' - Find the length of the curve y= 1<x<2. 4

A: y=x612+18x4 Differentiate the  above equation dydx=ddxx612+18x4dydx=x52-121x5

Q: 20. Find the equation of the curve for which y" = x, and which through the point (1, 2) and the…

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Q: n of the curve, L. (x+ 1)* , 0 0

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Q: 3. Find the length of the curve y =- 6. 1 from x=2 to x=3 2x

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Q: 2. Consider the curve given by 3y2 – 2x²y³ +2x +9 = 0. Write an equation for the tangent line to…

A: The given curve is, 3y2-2x2y3+2x+9=0 The slope of the tangent curve is given by dydx Determine the…

Q: xy dx + (x2 + x) dy, where C is the path in the figure below with vertices (-5, 0), (0, 5), (5, 0)

A: Given data:     The given integral is: The coordinate of the first point is: (x1,y1)=(-5,0). The…

Q: 1 ,3/2 y92 - y"2 between the points 3 ,1 and (6,9). 3 Find the length of the curve x=-y" 1/2

A: Given : The curve is : x=13y32-y12  We have to find the length of the given curve between the points…

Q: Q1. Find the length of the of the curve y= from x = 0 to x = 3.

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Q: 2. Consider the function y(x) = 5x² over the interval [0, 10]. (a) If the points A(0, y(0)), B(5,…

A: As per guidelines, we will solve first three subparts; Given function is yx=5x2  over the interval…

Q: d an equation of the tangent plane to the given surfa (-1, 1, –9). %3=

A:

Q: 2- Find the equation of the line: -4 Sketch the line with equation 2y 3r - 6showing both int 2.

A: on solving this we get the

Q: EX Find the point the curve y=x3+x²-l where the tamjent on is parallel to the X-oaxis

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Q: Evaluate (y – x)dz + (y – z)dz over the line segment C from P: (1, 1, 1) to Q : (2, 4, 8). Select…

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Q: Determine the equation of the curve which is perpendicular to the line joining any point on the…

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Q: Evaluate S,(x – 3y² + z) ds for each of the following curves. |

A: We have to find the line integral.