# rotate

1. ### How do I rotate this about the x-axis?

The directions are: Rotate the region around the x-axis and find the volume The actual problem is: Region bounded by y = 4 - x^2, y = 0, x = -2, x = 0 The answer I keep getting for the volume is 321.6990877, but the answer in the back of the book is (256π) / 15. The steps I took to get my...
2. ### rotate the axes to eliminate the xy term?

Given x2-4xy+4y2+(5*sqrt(5))y+1=0 what are the steps to rotating this to eliminate the xy term? Thank you!
3. ### Consecutive Rotation and Flip Problem

Dear Sir/Madame, We are developing an image-processing software, wherein we rotate (clockwise rotation and anticlockwise rotation options are available) and flip (horizontal flip and vertical flip options are available) images. There are number of images (set of images) displayed in the...
4. ### Rotate About the line y = 4

Find the volume of the solid generated by revolving the region bounded by the graphs of the equation about the line y = 4. I set y = y to find the boundaries. I found the boundaries to x = o and x = 3. V = pi INT from x = 0 to x = 3 of the function (x)^2 dx. My Answer: 9pi...

Find volume of solid generated by revolving the region bounded by the graphs of the equations about the indicated lines. y = x^2, y = 4x-2x^2 ABOUT X-AXIS. I set x^2 = 4x-2x^2 to find my limits of integration. I found my limits to be [0,2]. See picture for more information.

Find volume of solid generated by revolving the region bounded by the graphs of the equations about the indicated lines. y = sqrt(x), y = 0, x = 4 ABOUT Y-AXIS. If picture is sideways, please rotate for easy reading. I got the right answer when rotating about the x-axis (same...
7. ### how to determine rotated rectangle offset

If you look at the attachment, I have the green box. Say the green box is 117 pixels x 18 pixels. It is then rotated around the center point 280°. How can I find the length of lines t and u? Thank you!
8. ### Through what angle does the arrow rotate when it moves 1 inch on the gauge?

The arrow on a car’s gasoline gauge is ½ inch long. Through what angle does the arrow rotate when it moves 1 inch on the gauge? Give your answer in degrees (round to the nearest whole degree). I got 115 degrees as an answer and i wanted to see if i got it right.
9. ### Hyperbola - Loran - Rotate axis

I'm trying to formulate a problem related with the Long Range Navigation(LORAN) System, that uses Hyperbolas to determine the position of a reciever(a ship for example). The Loran uses 1 master station and 2 slaves(and calculates de equation of the Hyperbola betwin the master and each of the...
10. ### Trying to figure out how to rotate an ellipse...

Hi, So, I have been trying to figure out how to rotate an ellipse in the form of: x^2/a^2 + y^2/b^2 = 1 My guess is that making a translate vector of T<x^2, y^2> will do the trick. My goal is simply to make the ellipse not vertical or horizontal. My reasoning is because ^2 will have moved the...
11. ### Rotate Vector

I have pont1(x1,y1,z1) and point2(x2,y2,z2) describing a vector. How do I fined the angle of rotation by x,y,z The red object is ilustration of the vector. Its hight is caluculated and it is the distance between point1 and point2. I want to rotate this object so that the top of it drops on...
12. ### Move and Rotate a point around a new origin

I'm trying to do something like this: The pyramid is linked to the box. I have the positions and rotations of both the green box and the green pyramid. The axis intersecting the green box is at (0, 0, 0) with a rotation of (0, 0, 0). I want to move and rotate this group to the new axis...
13. ### rotate coordinate axis &identify the conic.

17x^2-312xy+108y^2-900=0 Raotate the coordinateaxes to remove the xy-term and then identify the type of the conical represent by rhe equation. plz hint about Raotate the coordinateaxes to remove the xy-term
14. ### how many degrees does a wheel rotate in 10 ms if its angular velocity is 8 rad/s.

1) Through how many degrees does a wheel rotate in 10 ms if its angular velocity is 8 rad/s???
15. ### volumes rotate about y = x

i don't know how to start this problem. Instead of rotating about a horizontal and vertical line, it requires you to rotate about the line y =x determine the volume bounded by the curve when y = x^4 and y =x between x = 0 and x = 1 are rotated about the line y =x Thanks
16. ### volumes rotate about y axis

The region of the curve y = \frac{e^x}{x} bounded by x = 1 and x = 2 and y = 0, is rotated about the y axis. Find the volume of the solid. i drew the diagram and it doesn't look doable. Would I have to consider volumes by slicing? thanks
17. ### When I try to rotate a graph using the shell method, I get a non-solvable quadratic!

When I try to find the points of intersection I get 0 = (a quadratic equation that has no intercepts!) My work is attached as #13 on page 12 of the pdf. The question is: "Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given...
18. ### controversy from how to rotate curve thread

i have a problem with the equations i was given for curve rotation from/about origin.In the following w1 is the angle between curve and x axis,w2 is the angle the curve is rotated by counterclockwise y1=rsinw1 x1=rcosw1 sin(w1+w2)=y2/r y2=rsin(w1+w2) cos(w1+w2)=x2/r x2=rcos(w1+w2) but...
19. ### how to rotate a curve

how do you rotate a curve ,whether it is a quadratic ,parabolic any type of curve and get the equation of the new/transformed curve,after rotating by x degrees.
20. ### Rotate a circle in the space

I'm trying to make a circle that has a center in origo. I make this in the GDL programming language. But the problem is actually related to trigonometry. So I need some help from clever matematics people. Se the illustration below. I first put the circle on the horizontal layer (XY-layer and...