The graph of x+y = 4 is an ordinary right cireular cylinder. Indicate axis of the eylinder lies along and the radius of eylinder: Use , between axis and radius.

Q: The coordinate axes divide the xy-plane into four sectionscalled________?

A: The coordinate plane looks as below:

Q: Find the length of the curve. x = 4, y = 3/2, 0 st 0st <9 242 61 2

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Q: The center of a ceiling fan is at (2, 8). If the radius is 12in, what equation represents the outer…

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Q: Graph the Image of rhombus TUVW after a reflection across the line y = x. (v.x)

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Q: Given the equation x2+z2=7, write an equation for the cross section at y = −7 using x and z. Can you…

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Q: ngent to the y axis and the center is

A: To determine the circle of equation tangent to y axis and center (5,8)

Q: on touches, but does not cross, the t-axis. (

A: The given equation is

Q: If Y is the center point, YZ 3, and mXYZ =60, what is the area of sector XYZ in this circle

A: The given circle is where y is the center point, YZ is the radius of 3 unit and angle XYZ is 60o .…

Q: Find the length of the curve y? = r between the points (0, 0) and (4, 8)

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Q: he circle is tangent to the y-axis and the center is at (-2,-8).

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Q: For what minimum integer value of a, will the line ax+(a+1) y =18 www (a> 0) have two intersection…

A: If the line cuts the circle at two points then given line is secant line of the circle .The…

Q: Find the standard form for the equ of a circle (xh)² + (y - k)² = 7² with a diameter that has…

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Q: Find the shortest distance, d, from the point (5, 0, -8) to the plane x + y + z = 8. d =

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Q: Find the radius of the circle x2 + y2 – 6y = 0.

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Q: Find the point with coordinates of the form (2a, a) that is in the third quadrant and is a distance…

A: We know that, a point in third quadrant must have negative abscissa( x-coordinate) and negative…

Q: A circle whose equation is x2 + y2 + 4x + 6y – 23 = 0 has its center at ______.

A: Given equation,

Q: (a) y" + 7y + 12y = 0, y(0) = -1, y(0) = 0 %3D %3D

A: We have to find general solution and it's sketch.

Q: Find the point that is 2/5 of the distance from C to D.

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Q: The graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral. y

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Q: The points of intersection of the graphs of xy = 20 and x² + y? = 41 are joined to form a rectangle.…

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Q: Find the point (a, b) on the graph of y = e^x where the value ab is as small as possible.

A: Solution:Given y=exTo find(a,b)  where ab is as small as possible.

Q: Graph the first-octant portion of each plane. x + y + z = 15

A: Given a Plane, x+y+z=15 We need to graph the above plane.

Q: Sketch the graph of the cylinder given by 4x2 + 9y2 = 36. show solution

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Q: following graph Given the off 9. 4. +234 56 18 Use 4 mid points, rectangles to approximate fla) de.…

A: It can be solved using the given method below.

Q: Find the standard equation of the circle concentric with x? + y? +2x – 4y – 5 = 0, radius is 7.

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Q: 2. Sketch the graph of the cylinder given by 4x? + 9y² = 36.

A: Graph of the cylinder. You can assume that the the elliptical like shape is above the given figure…

Q: at is the equation of a circle with radius V5 and center (5,0)? A. (x + 5) + y? = v5 о в. (т +5)?…

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Q: If C is the line segment connecting the point (x1, Yı) to the point (x2, Y2), find the following. x…

A: “Since you have asked multiple questions, we will solve the first question for you i.e. (a). If you…

Q: Find the length of the curve, L. y? = 4 (x + 5)* , 0 0

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Q: What is the standard form of equation of a circle centered ar C(h, k) whose radius is r? A (x-h) +…

A: Solved below

Q: Evaluate (x+ y)ds, where C is the top half of the circle x² + y² = 4, oriented counterclockwise.

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Q: The equation of circle C is (x+3)^2+(y-8)^236. What is its center (h.k)? *

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Q: Find the cоттоn points of the circles (x + 1)² + (y – 1)² = 5 and x² + y? = 1.

A: Common points of the circles simply means the point of intersection of the given circles.

Q: The graph of x + z² = 1 is an ordinary right circular cylinder. Indicate axis of the cylinder lies…

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Q: In the figure above, three semicircles with centers on AB form a continuous path from point A to…

A: Given the length of straight line AB is 26. Now let semicircles have radius r1,r2,r3 respectively.

Q: Find the point on the line y = x closest to the circle of radius 1 and center (5, 2) using Lagrange…

A: First I have find the function f(x,y) and then decide the constraint.Then using Lagrange multipliers…

Q: Find the center (h, k) and the radius r of the circle 4x2 + x + 4y? + y – 10 = 0.

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Q: in R°sketch the graph of the cylinder x = (y – 2)?

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Q: Give the center and radius of this circle: x² + y? – 8x + 4y = –11 O Center (–4, 2); Radius =3 O…

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Q: Find the points on the circle x^2+y^2=45 that are closest to and farthest to from(1,2)

A: Given: The equation of a circle is x2+y2=45   To determine: The points on the circle x2+y2=45 that…

Q: At what points will the line y =x intersect the unit circle x2 +y2 =1 ?

A: We have to find the points where line y=x is intersecting the unit circle: x2+y2=1 To find the…

Q: Is the graph of x2 + y2 = 0 a circle? If so, what is the length of a radius?

A: The standard form of the equation of the circle is (x-h)2+(y-k)2=r2. Here (h,k) is the center and r…

Q: Suppose the graphs of y 3x? – 3x + 9 and y = x + bæ? + 26x – 9 intersect at a = 2. %3D Find all…

A: To find all intersection points Given graphs are intersect at x=2

Q: Given the curve ax? = y³, find the shortest possible distance between the curve and the point…

A: I am attaching image so that you understand each and every step.

Q: Let's consider points X and Y on the coordinate plane below. y Y (x2, Y2) x (x1,Y1) Write a formula…

A: Consider the given graph. We have to find the formula that can be used to find midpoint of any 2…

Q: Fix one vertex at (0,a) in the (x,y)-plane and move another vertex along the x-axis. Show that the…

A: Given: A fixed vertex 0,a A second vertex moving along the x-axis. To show: The locus of the third…

Q: Find the point (x, y) on the unit circle that corresponds to the real number t. t= π/2 (х, у) -

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Q: State the formula for the distance between (x1, y1) and (x2, y2).

A: Determine the formula for the distance between x1, y1 &amp; x2, y2