Tutors Answer Your Questions about Vectors (FREE)
Question 346672: Find an ordered triple to represent
x in x = -6z + 1/4y if y = <2, 18, -4/5> and z = <-1/2, 3/4, -1/6>
a)<24/8, 0, 4/5>
b)<7/2, 0, 4/5>
c)<7/2, 0, 6/5>
d)<7/2, 33/8, 4/5>
Click here to see answer by Fombitz(32388)   |
Question 366466: Morning,
Please could somebody possible help with this Right its been a while since i have attempted maths, and have just gone back to further ed. I have attempted the following questions, which im sure should be simple, but of course like anything its just getting back into things after a number of years. i have listed the questions below, and my answers if anybody will take the time to have a quick look and correct me where neccessary i would appreciate this.
1)Find dy/dx by differentiating with respect to x the following expressions.
a) y=x^3-6x^2+9x-1 = 3x^2-12x+8
b) y=1/2x -sqrtx = 1/2-1/2x^-1/2
c) y=e^x-e^-x = e^x+e^-x
d) y=25cosx--sinx = -25sinx-cosx
e) y= 3sinhx-4coshx = 3hsinhx+4hsinhx
f) y= (x^2+1) sinhx = 1
2 Use product rule to obtain dy/dx for the following
a) y=x^2e^x = 2x(e^x)+x^2(e^x)
b) y= xtanx = 1(tanx)+x(sec^2x)
c) y= x^4ln(x)= 4x^3(ln(x))+x^4(1/x)
d) y= x^2sinx = 2x(sinx)+x^2(cosx)
e) y= e^-xcosx = -e^-x(cos x)+ e^-x (-sinx)
f) y=(x^2+1)sinhx = (2x +1) (sinhx)+(x^2+1)(cosh x)
Finally, use the quotient rule to differentiate with respect to x, simplifying as far as possible.
a) y= sinx/1+e^-x = 1+e^-x(cosx)-(1-e^x)sinx/(1+e^-x)^2
b) y= lnx/1+x^2 = 1+x^2(1/x)-1+2x(ln x)/(1+x^2)^2
Really this would be appreciated thank you
Click here to see answer by Fombitz(32388) |
Question 368274: Hello Everyone please can you help with this
a) Find a vector which is perpendicular to the plane containing the vectors a=6i+k and b=2i+j
b) Find the area of the triangle with vertices at the points with coordinates (1,2,3),(4,-3,2) and (8,1,1)
Really wlould appreciate help on this one
Thanks
Mick
Click here to see answer by Fombitz(32388) |
Question 388402: Not really sure how to approach this
Find the volume of the figure bounded by the following planes.
x + z = -3
10x - 3z = 22
4x - 9z = -38
y = -4
y = 10
If you can either help with how to approach this or an actual solution, that would be great ^^
Click here to see answer by Fombitz(32388) |
Question 389306: If P(1, -2, 4) is reflected in the plane with equation 2x - 3y - 4z + 66 = 0, determine the coordinates of its image point, P'. Note that the plane 2x - 3y - 4z + 66 = 0 is the right bisector of the line joining P(1, -2, 4) with its image.
Any help would be appreciated ^.^
Click here to see answer by robertb(5830)  |
Question 389493: 5. The position of a lost hiker, H, is given by the parametric equations
, where position is measured in km, and time in hours. The position of his rescue party, R, is given by
.
a) Find the initial position of the hiker and his rescue party.
b) Find the velocity vector of each.
c) When is the rescue party closest to the hiker and how close are they at this time?
C is giving me the most trouble,
any help is appreciated ^.^
Click here to see answer by josmiceli(19441)  |
Question 431778: 1.what is the product of the complex numbers (3+i) and (3-i)?
2.If i=the square root of _1,show the location of 5_2i on a graph?
3.If i=the square root of _1,what is the value of i the power of 4?
4.If i=the square root of _1 and a and b are non-zero numbers,what is 1/(a+bi)
PLEASE HELP ME ,THANK YOU FOR WILLING TO HELP ME
Click here to see answer by Alan3354(69443)  |
Question 441227: 1. The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates.
u: magnitude 140, bearing 160°
v: magnitude 200, bearing 290°
w: u + v
2. The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates.
u: magnitude 30, bearing 215°
v: magnitude 30, bearing 110°
w: 3u - v
3. The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates.
u: magnitude 10, bearing 30°
v: magnitude 25, bearing 120°
w: 8u + 3v
4.
The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates.
u: magnitude 15, bearing 60°
v: magnitude 20, bearing 160°
w: 2u - 3v
5. The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates.
u: magnitude 136, bearing 220°
v: magnitude 197, bearing 300°
w: u + v
6. The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates.
u: magnitude 218, bearing 22°
v: magnitude 170, bearing 112°
w: u - v
7. The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates.
u: magnitude 136,. bearing 220°
v: magnitude 197, bearing 300°
w: 2u - v
8. The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates.
u: magnitude 1850, bearing 125°
v: magnitude 2960, bearing 25°
w: u + 2v
9. The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates.
u: magnitude 460, bearing 0°
v: magnitude 712, bearing 130°
w: u + v
10. The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates.
u: magnitde 23, bearing 215°
v: magnitude 14.5, bearing 105°
w: u + v
11. The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates.
u: magnitude 3.62, bearing 25°
v: magnitude 14.5, bearing 105°
w: u + v
12. The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates.
u: magnitude 621, bearing 305°
v: magnitude 336, bearing 15°
3(w + u) = 2(w - v)
13. Give the rectangular coordinates: (4, 30°)
14. Give the rectangular coordinates: (2, 45°)
15. Give the rectangular coordinates: (-3, 120°)
16. Give the rectangular coordinates: (-5, 135°).
17. Give the rectangular coordinates: (7, -60°).
18. Give the rectangular coordinates: (-6, -150°).
19. Give the rectangular coordinates: (-3, -120°).
20. Give the polar coordinates: (4, 0).
21. Give the polar coordinates: (-√2, √6).
22. Give the polar coordinates: (0, -3).
23. Give the polar coordinates: (-√5, √5)
24. Give the polar coordinates: (-2, 2).
25. Give the polar coordinates: (-√2, -√2).
26. Give the polar coordinates: (√3, -1).
27. Give the polar coordinates: (-1, √3).
28. Write in x + yi form: 2.2(cos 150° + i sin 150°)
29. Write in x + yi form: 3(cos20° + i sin20°)
30. Write in x + yi form: 0.8(cos 250° + i sin 250°)
Click here to see answer by richard1234(7193)  |
Question 505070: I hope it's the right category...... Anyway, I understand I can use formula Y=VoT + 1/2 AyT^2 (Y= total displacement, Vot is initial velocity, Ay is acceleration on the Y axid, and T is time). I understand that if Vo=0, the VoT cancels out, which leaves me Y= 1/2 AyT^2 to work with. I can understand in order to find T, the formula then becomes T= square route 2Y/Ay. Except where does the 2 in the 2Y/Ay come from???? Please explain where this 2 is coming from.... it's driving me batty :)
Click here to see answer by scott8148(6628)  |
Question 517483: okay Im trying to help my daughter we got some answers but want to make sure.
Bob excerts 30.0-n force to the left on a box (m=100.0kg)
Carol excerts 20.0-n force on the same box perpendicular to Bobs force whats the net force on the box and determine the acceration of the box and at what rate would the box accerate if both forces where to the left instead of perpendicular to each other? thank you.
Click here to see answer by bucky(2189) |
Question 524889: A certain escalator travels at a rate of 10.6 m/min, and its angle of inclination is 32.5 degrees. What is the vertical component of the velocity? How long will it take a passenger to travel 10.0 m vertically?
Click here to see answer by stanbon(75887) |
Question 524976: The heading of a plane is 27.7 degrees NE, and its air speed is 255 mi.h. If the wind is blowing from the south with a velocity of 42.0 mi/h, find the actual direction of travel of the plane, and its ground speed.
Click here to see answer by Alan3354(69443) |
Question 573938: The average annual salary of a professional baseball player can be modeled by the function
S(x)=246+64x-8.9x^2 + 0.95x^3
Where S represents the average annual salary in thousands of dollars and x is the number of years since 1982. Determine the rate at which the average salary is changing in 2005
Click here to see answer by solver91311(24713)  |
Question 578147: The vectors i, j are unit vectors along the x-axis and y-axis respectively. the vectors u=-i+2j and v=3i+5j are given. A vector w has the same direction as u+2v, and has a magnitude of 26. Find w in terms of i and j.
Click here to see answer by dfrazzetto(283)  |
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