Solve for x
x -6 -1
2 -3x x-3 = 0
-3 2x x+2Attempt-
x-2 3(x-2) -(x-2)
2 -3x x-3
-3 2x x+2
1 3 -1
2 -3x x-3
-3 2x x+2
1 3 -1
0 -3x-6 x-1 = 0
0 -x+3 2(x-1)
x =-3
By doing this I'm getting just one value of x. How do i get the values of x like 2 and 1?
1 4 9
4 9 16
9 16 25
2 times the column 1 - column 2 and taking the negative sign out of the determinant from row 1 and row 2
2 -4 -9
1 -9 -16
2 16 25
row 1 - 2 times row 2 and row 3 - 2 times row 2 and the expanding along column 1
0 -16 -23
1 -9 -16
0 34 57
Solve without expanding the determinant having elements which are listed as follows row-wise = {1^2,2^2,3^2,2^2,3^2,4^2,3^2,4^2,5^2} where , the determinant is of the order 3
I have tried some combinations of operations performed row or column wise that could produce 2 zeros either in one of...
Sorry, they are very common in my exercise books
square brackets mean the greatest integer value of the variable within and the curly brackets mean the fractional part of the variable within.
The electric potential V at any point (x,y,z) in space is given by V=4(x^2) volts (all in meters). The electric field at the point (1m,0m,2m) is?
-->
dV= - (E.dr),
magnitude of r =sqrt(5),
V at the point will be 4, which => 4=-*integration sign*E.dr
how to solve this?
1) If we have the focus as (f,g) and the directrix as Ax+By+C =0 and the eccentricity as e we define the equation of the ellipse to be
(x-f)2+(y-g)2 = e2(Ax+By+C)2 / A2+B2
Does this imply that the variables x and y in the locus of the directrix and the ellipse refer to the same thing?(we...
Like for the two blocks if you write the force equations the equations would be
For both the blocks considered as a single system -
F = (M+m)a
And for just the block on which the force is applied
F-N = ma1
and we say that a = a1; my questions is why?
How do you relate friction with the movement of the blocks?
The case i took is on a friction less plane and assuming no friction between the blocks
And i would really like you to answer the few questions i wrote in those brackets
How do we say(or prove) that when two bodies are moving together , they can be considered as one system?
Suppose we have two blocks of wood kept on a friction less surface side by side and you apply a force on anyone of them. I suppose from left to right, then the force equations for each...
S = 12-22+32-42...+20092
Attempt=
S = (1+2)(1-2)+(3+4)(3-4)+...+(2007-2008)(2007+2008) [can we write this as -(1+2+3+4+5...2008) if yes, then why ?) +20092
Stuck after this.
Ofcourse we can write the equations for blocks on a single fixed pulley taking the tension upwards and weight as downwards and then equating according to the acceleration. Can we write equations for the string (massless or with mass)?