y^2 = 4x, x^2 = 4y; revolving about the x-axis. Use washer method. With graph.

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Q: The line represented by 3x-4y=16 is dilated by a scale factor of 3 centered at the origin. Which…

A: The dilation is the way of transformation. Every parent figure can be dilated by a scalar factor. By…

Q: What is the equation of the line tangent to the parabola y2=12x at point (2,2)

A: y2=12x  ⇒  4a=12                     a=3

Q: Find the parabola y= ax2+bx+c that passes through (2,1) and be tangent to the line y=2x + 4 at (1,6)

A:

Q: t this problem?

A: Consider the given parabola:

Q: x*Arcsinxe

A: we have to find

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A:

Q: find the point on the line y=2x+10 that is closest to the orgin, (0,0) What is the minimum distance?

A:

Q: Find the area of the segment of a sphere formed by revolving the graph of y = √25-x2,0 sxs 4, about…

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A:

Q: ` What is the shortest distance from the surface xy + 9x + z² = 76 to the origin? distance =

A: z2+9x+xy=76z2=76-9x-xy   ---- Eq 1Let P(x,y,z) be a point on the given surface. We know that…

Q: Find an equation of the tangent line to the parabola y = x2at the point (2, 4).

A: To find the equation of the tangent line to the parabola y = x2at the point (2, 4). For the parabola…

Q: Solve using method of variation of parameter: 4y" - y = xex/2, y(0) = 1, y'(0) = 0.

A: Let us consider a second order differential equation with constant coefficient , y''+ay'+by=Q(x) To…

Q: 2. Find the equation of the horizontal asympto

A:

Q: Find an equation of the tangent line to the parabola y − x2 - 8x + 9 at the point (3, -6).

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Q: Find the area of the segment of a sphere formed by revolving the graph of     y = √(9 − x2) , 0 ≤ x…

A:

Q: What is the maximum vertical distance between the line  y = x + 30  and the parabola  y = x2 for…

A: Definition used -                  Vertical distance is given by -…

Q: Find an equation of the povalbola in standovet form focus at F(-4,0) and divectrix ;X=-4

A:

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

A:

Q: correct graph of y = sin x, -"sxs 2n and y = csc x, - sxs 2n on the same axis:

A: Solution:

Q: It is easiest to graph y = 2 secπx by first graphing______ .

A: It is easiest to graph y = 2 secπx by first graphing______ .

Q: dy Use the method of isoclines to draw several solution curves for the equation dr

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A: The given line segment: y=2x5 ;       0&lt;x&lt;8

Q: Ly Use the definition of

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Q: Find an equation of the tangent line to the parabola y=x2  -8x+9 at the point (3, -6)

A: Given :          y= x2-8x+9

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A:

Q: Find the point on the parabola y = x^2 closest to the point (−3, 0)? and give the minimal distance?

A:

Q: Convert x = = ln(2t) and y = 1² from parametric to rectangular form. 2

A: Given,  x=ln(2t) and y=12t2

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Q: Find a cubic function  y = ax3 + bx2 + cx + d  whose graph has horizontal tangents at the points…

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Q: Tim Find the first approximation to the root of the equation -2x-5-0using Regular-Falsi method…

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Q: Make the cubic y = ax3+bx2+cx+d pass through the points (0,-6), (1,-2) and be tangent to the line…

A: This is the simple question based on algebra and derivative which could be solved using the basic…

Q: Find x for which the line tangent to the parabola y = 4x − x^2 is horizontal

A: The objective is to find x for which the line tangent to the parabola y = 4x − x^2 is horizontal.

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

A:

Q: What is the shortest distance from the surface xy + 6x + z² = 48 to the origin? distance =|

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Q: What is the equation of tangent to the parabola y^2 = 2x + 8 at (4,4) ?

A:

Q: 1. y = Vt2 + 3t – 1 %3D

A:

Q: Find the equation of the line tangent to the parabola y = x^2 -1 at the point (-2,3).

A: Given the parabola :

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A: We need to find area.

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

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

A: Find the x-intercept.

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A:

Q: 3// Does the parabola y = 2x2 – 13x + 5 have a tangent whose slope If so, find tangent and normal…

A: Q3    y = 2x2-13x+5 -*      dydx=4x-13if scope of the tangent be -1 thendydx=-1 as than paint of…

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A:

Q: At what point on the parabola y=3x^2+2x is the tangent line parallel to the line y=10x-2? Use first…

A: We have to find the point.

Q: What is the average distancebetween the parabola y = 30x(20 - x) and the x-axis on theinterval [0,…

A: The equation of parabola is given by y=30x20-x on [0, 20] The expression to evaluate the average of…

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

A: To Find