Recent content by Suy

I know that 0 ≤ u ≤ 4 and 0 ≤ v ≤4. For y^2 = 1024 - 64x, x is restricted from 0 ≤ x ≤16 and 0 ≤ y ≤32??

Thanks for the reply! It definitely helped me understanding the question! And I know how to do it now!

Show a flowline of a vector field?? Homework Statement Consider the vector field F(x,y,z)=(8y,8x,2z). Show that r(t)=(e8t+e−8t, e8t−e−8t, e2t) is a flowline for the vector field F. r'(t)=F(r(t)) = (_,_,_) Now consider the curve r(t)=(cos(8t), sin(8t), e2t) . It is not a flowline of...

Homework Statement Let I=∫∫D (x2−y2)dxdy, where D=(x,y): {1≤xy≤2, 0≤x−y≤6, x≥0, y≥0} Show that the mapping u=xy, v=x−y maps D to the rectangle R=[1,2]χ[0,6]. (a) Compute \frac{\partial(x,y)}{\partial(u,v)} by first computing \frac{\partial(u,v)}{\partial(x,y)}. (b) Use the Change...

Homework Statement Show that T(u,v) = (u2 - v2, 2uv) maps to the triangle = {(u,v): 0 ≤ v ≤ u ≤ 4} to the domain D bounded by x=0, y=0, and y2 = 1024 - 64x. Use T to evaluate ∬D sqrt(x2+y2) dxdy Homework Equations The Attempt at a Solution x=u2-v2 y=2uv Jacobian= 4u2+4v2 dudv I guess the...

Homework Statement Three cables pull on the pipe such that they create a resultant force having magnitude FR. If two of the cables are subjected to known forces, as shown in the figure, determine the direction θ of the third cable so that the magnitude of force F in this cable is a minimum...

(x,x,x,x),(x,x,x,x) you can click preview to see if the format is correct

answer is C,D,E, but is there a easy way to do it?? for question 2, I know there is no solution, but the question say x \in F2 confused me And what about question 1 please help me edit: If z/2z, is that mean (x+iy)/(2(x+iy))? Thank you so much!

"b" you mean question 2? No ,I have no clue... I don't know to cube root i... The third question answer is come from wolfram.. By checking, Do you mean i cube every answer to see if it is equal 8i? actually,I don't understand what's F2 is ...

Please explain these question to me ... Homework Statement 1)A system of m equations over F2 in n unknowns has exactly 2n−m solutions. • A. True • B. False answer: false 2)How many roots x \in F2 does the polynomial x2+x+1 have? answer:0 3)Which of the following is a cube root...

Oh nvm, I put all four answer and it's correct

Thx! I probably confused with 1+1=0 those stuff, but like u said there is four answer, does it matter which one I put?

0+0+0=0 1+1+0=0 0+1+1=0 is that mean there are 9 choices? if 0+1=1, 0+0+0=0? answer is (0,0,1,0)? or 1+0=1 (1,1,0,0) (0,1,0,1) there is three answer, which one is right? btw, what exactly is F2? I tried to google, but there isn't any answer ty

I tried to get all component for ABC, AB is already given 8N horizontal ,6.645 vertical but still, it's doesn't help me to get AD btw, this question is similar to this picture http://session.masteringengineering.com/problemAsset/1162411/1/Probs.2-7_8.jpg replace the black stick with blue part...

Homework Statement Find all solutions to the system of equations with over the binary field F2 w+x +z=0 x+y =1 enter you answer as a list of point (w,x,y,z) Homework Equations The Attempt at a Solution This question should be easy, but I just don't understand binary field...