y? =1 (Must show center location, asymptote lines, vertices) |

Q: Find an equation of the tangent to the circle x2+y2=36 at the point (5,3)

A:

Q: Determine the values of x where a curve y = x3 - 3x2 - 9x+ 12 has horizontal angent lines.

A: Given,         y=x3-3x2-9x+12

Q: In the open interval 0, find the point where the slope of the curve y =tanx is 4?

A: in the open interval 0,π2, we have to find the point where the slope of the curve y=tanx is 4. the…

Q: For the curve y = x² - 2lnx, locate all critical points and points of inflection.

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Q: Find the minimum distance from the point (3, 0) to the circle x2 + y2 = 4.

A:

Q: Find the curve length 0 +2),0<ys4 0 < y

A: 76/3

Q: t this problem?

A: Consider the given parabola:

Q: Explain the steps required to find the length of a curve y = ƒ1x2 between x = a and x = b.

A:

Q: Find the exact length of the curve. 글 cosh(2x), sxs8 y = 4 +

A: Given:

Q: The horizontal asymptotes of the curve 3x y = (x4 + 1)'/4 are given by %3D Y1 = and Y2 = where y1 >…

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Q: Find the length of the arc of the curve 9y2 = 4x3 from the origin to the point (3,2v3).

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Q: What is the maximum vertical distance between the line y = x + 6 and the parabola y x2 for -2 < x<…

A:

Q: Determine the coefficients a, b, c, d that will make the curve y = ax3 + bx2 + cx +d passes through…

A: Given y=ax3+bx2+cx+d

Q: Find the equation of the hyper bola with latus rectum 1, slope of asymptotes +- 1/2. Draw the curve.

A: Consider the general form of the hyperbola is, x2a2-y2b2=1 Since, the latus rectum is 1 then,…

Q: Use a graph to estimate the coordinates of the lowest point on the curve x = t³ - 31, y = 1² +1+1.…

A: Consider the parametric equation x=t3-3ty=t2+t+1 Sketch of the parametric equations is shown below.

Q: Find the point on the curve y = sqrt x that is closest to thepoint (3,0)

A: Given curve y=x Let A(x,y)  be a point on the curve and let B(3, 0) So distance between A and B is…

Q: Find the length of the curve defined by y = 3z3/2 - 3 from x = 3 to a = 9. The length is

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Q: /hat is the maximum slope of f(x,y,z)%3DyeX-x2sin(z) at the point (0,7,5)? ound to the nearest…

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Q: 2. Find the equation of the horizontal asympto

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Q: How can we find the horizontal and vertical asymptotes of the curve?

A: We find the horizontal and vertical asymptotes of the curve

Q: Find the length of the curve y=x^3/2 from the point (1,1) to the point (4,8).

A:

Q: Which point on the curve y = Vx – 1 + 8 is closest to the point (5, 8)? (x, V) = ( What is this…

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Q: Find the curve length +3 + 6. 1 y = 1< x< 2 2x

A: Using formula of length of arc we can calculate.

Q: Find the length of the curve.  y = (9 - x^2/3)^3/2 from x = 1 to x = 27

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Q: Find the coordinate of the local maximum for the curve 21 y=2+9x- +2x

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Q: Determine the length of the curve x = 3y2 -1 between y = 0 and y = 4 3/2

A: The given curve is x=3y32-1 We will find the arc length of the curve between y=0 and y=4

Q: Find the coordinates of the point/s on the curve y = 2x2 which are closest to the point ( 9, 0 ).

A:

Q: Trace the curve r2 = 4cos etan2e. %3D

A: The given equation is r2=4cos4θtan2θ. Simplify r2=4cos4θtan2θ as follows:…

Q: Find the are length of the curve x = (y² + 2)/2 from y-0 to y=1

A: First, calculate dxdy for the equation, x=13(y2+2)32  . Then, use the formula, L=∫ab1+dxdy2 dy to…

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…

A:

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 y = x3/2 from x = 0 to x = 3.

A:

Q: Find the horizontal and vertical asymptotes of the curve. 2ex y = ex – 6

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Q: Find the minimum distance from the parabola x − y2 = 0 to the point (0,3) Minimum distance =

A:

Q: 2. Find the length of the curve y=- 1 from 1<x<2. 8 4x?

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Q: Find the length of the arc of the parabola y²=4x from the vertex to a point where x=4.

A:

Q: Find the length of the curve 3x = (y² + 2)³/2 from y = 2 to y = 3 %3D

A: Use length of curve formula:-  for a given curve x = f(y) from y=y1 to y=y2 length of curve,…

Q: What is the maximum vertical distance between the line y = x + 2 and the parabola y = x2 for -1 <x<…

A:

Q: Find the minimum distance from the parabola: x - y2 = 0 to the point (0,3).

A: x - y2 = 0 x = y2  Let us take a point (x,y)=(y2, y) on the parabola

Q: Find the shortest distance from the point (4,2) to the curve x^2 Зу^2 %3D 12 +

A:

Q: Find the length of the curve x = (y − 5)3/2 from y = 5 to y = 6.

A:

Q: Find a parabola with equction Y=ax +bx+c that has a Slope I at x -1, slope 9 at x=-1, and passes…

A:

Q: Find the point on the curve y = 3x + 4 which is closest to the point (5, 0). Preview Preview

A: Let (x, y) be the point closest to the point (5, 0) We will calculate the distance between these two…

Q: find the arclength of y= 9-x° between its x-intercepts

A: Find the x-intercept.

Q: The horizontal asymptotes of the curve 12x y = (zª + 1)'/ are given by Y1 = and Y2 = where yı > Y2-

A: Asymptotes are the tangents where the function tends to meet at the extremities of the x and y axes

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

A:

Q: What is the longest distance from the curve x ^ 2 + xy + y ^ 2 = 16 to the origin?

A:

Q: The length of the curve 4/2 3 y = xi - 1,0 < x < 1 is .

A: Given,            The length of the curve y=423x32-1 , 0≤x≤1 is 136.To find : Check whether the…

Q: What is the maximum vertical distance between the line y = x + 6 and the parabola y = x< for -2 <x<…

A: To Find