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

Q: nd the exact length of the curve. y = 3 1. 4x 1sxs2

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Q: I Find the acute angle between the two curves xy = 3 and x2 = 9y

A: Given data: First curve xy=3. Second curve x2=9y.

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: 2.) Find the acute angle between the given curves y² = 2x and 4x²+ 4y² +5y=0

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Q: Find the abscissa on the curve x²=2y which is nearest to a point (4, 1). А. 0 С.2 В. 1 D. 3

A: Use the distance formula then minimise using derivative.

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: Find the points on the curve x^2y = 2 nearest the origin.

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Q: Find the length of the curve 4t2 -1 dt, y = %3D 1<x<3 8. 15 104 3 3.

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Q: The x coordinate of the point of intersection between the two curves Y e14a and y = 1 is = x =

A: Given: y=e14xy=1

Q: Find the lengthof the curve 」 9メ d S16 3_ %3D

A: Given curve is By fundamental theorem of calculus,

Q: The x coordinate of the point of intersection between the two curves y = el4a and y = 1 is

A: Equate both equation

Q: Find the exact length of the curve. y - 4 + 2x 3/2, o sxS1 1.547

A: Note: We are authorized to answer one question at a time, since you have not mentioned which…

Q: need help solving the equation below

A: Given,

Q: Find the length of the curve. x = 4t, y =- 3/2,0st s9 0 st 122 3

A: Arc length of the given curve

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: tind the point on the curve y=Jx that is closest to the point (3,0).

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Q: Find a point on the curve y = x² that is closest to the point (18, 0). %3D AY y =2 (x, y) (18, 0)

A: Find a point on the curve y=x2 that is closest to the point  Here use distance formula…

Q: Find the coordinate of the extrema of the curve y = x² – 4x + 1.

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Q: Find the length of the curve, L. y = 16 (a + 3)", 0s s1. y> 0

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Q: find the length of the remaining part of the y = x³/12 + 1/x curve between the x = l and x = 2 apfog…

A: We have to find the length of the remaining part of the curve y=x312+1x between x=1 and x=2

Q: (d) The curve y = x – x² from r = 0 to r = 2

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Q: The Normal to the curve 2x2 – y? = 1 at the point (1,1) is: %3D 3 y =-*+ y =x+ y = 2x + 1 %3D P. y =…

A: To find The equation of normal to the curve 2x^2-y^2=1 at the point (1,1)

Q: Find the length of the curve. y = 2 – 4x, 1<a< 3 O 54 3V17 O 17 O 2y17

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Q: = fx x²zdx- dx − yx² dy + 3 dz along the curve C shown in the figure. - Z 2 2 [x²zdx - yx² dy + 3 dz…

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Q: a) Find the length of the curve y = 5x/T - 6, 1<r< 3.

A: Arc length of the curve along x-axis

Q: Find the exact length of the curve. y2 = 16(x + 3)3,   0 ≤ x ≤ 3,  y &gt; 0

A: Given: Find the exact length of the curve.

Q: 3 y + 3 Find the length of the curve x = 18 2у on 3sys5.

A: Length of the curveL=∫ds where ds=1+dxdy2dy y is between 3  and 5…

Q: Find the point on the curve y = Vx closest to the point (1,0).

A:

Q: Find the exact length of the curve. y = 5 + 2x³/2, 0≤x≤ 1 2.268 X

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Q: C3. Find the length of the of the curve x= 1 from y = 1 to y = 2 %3D 4 8y?

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Q: I have taken the integral of A, and I'm towards the end of finding B but I'm confused on how I use…

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Q: Find the yp of the equation (D2 +4y=asinax + 4e ex %3D

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Q: The region in the first quadrant bounded above by the line y = 6, below by the curve y = √6x, and on…

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

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Q: Find the length of the curve x = (y3/33) + (11/4y) on 3≤y≤5.

A: Consider the given curve f(y) and find the derivative w.r.t y.

Q: Find the exact length of the curve. x= (y4/8)+(1/4y2), 1&lt; y &lt; 2

A: The given function is,

Q: Find the length of the curve. 6t, , r(t) 0 <t< 1

A: Given:-r(t)=6t, t2, 19t3,         0≤t≤1since we have to find the length of curve.

Q: The equation for the line of best fit for some data comparing the height of a candle (H) with time…

A: Let the independent variable denoted as time (T) Let the dependent variable denoted as height of the…

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

A:

Q: Q4/ Find the length of the curve y () (x² + 2) from x 0 to x= 3.

A: The length of a curve f(x) on an interval [a,b] is: L=∫ab1+(f'(x))2dx Where f'(x) is the first…

Q: Find the coordinates of the point in the curve y = 12x – 2y + 23 that is nearest to the point P(10,…

A: Given curve: y2=12x-2y+23 The point is  P10,4 To find: The coordinates of the point on the curve…

Q: Find the area bounded by the curve y=- 16 A 10 square units B) 16 square units Ⓒ 8 square units (D)…

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Q: Find the y²=x,x²-2x +3y=2 area between the two curves..

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Q: s to the curve y = x* at the %3D

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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: Determine d^2 y/ dx2 for the curve: y = 8x^3/2 + e^2x .

A: Given,             y = 8x32 + e2xNow,         y = 8x32 + e2xDifferentiating on both…

Q: Find the length of the curve y =1+6x?on the interval 0<x<1.

A:

Q: Find the exact length of the curve. Y=y4/8 + 1/4y2, 1 less than or equal to Y less than or equal 2.

A: Given: Y=y48+14y2 , 1≤y≤2 As, the length of the curve, L is given by: L=∫ab1+dydx2dx According to…