Math Answers

The pickling company want to make 1400 liters of a 6% brine (salt) solution by mixing a 15% brine solution with water. How much of each should be used to accomplish this?

f:x ----> 3-4x-x^2, x<c
g:x ----> ln (3-x), x<3

1. find the range of the function f when c =0
2. find the largest value of c for which the composite function gf is defined.

f:x ----> 3-4x-x^2, x<c
g:x ----> ln (3-x), x<3

find an expression for g^-1(x)

Use the Factor Theorem to find the linear factors of 2x^3 - 9x^2 -2x +24

3x^2+1 > |x-3|

(x^3 + y^3 +z^3 - 3xyz)= (x+y+z) (x+wy +w^2 z)(x+w^2 y+wz)
W is omega

Q. Solve thefollowing Inintial boundary value problem:
uxx=1/c^2 utt 0<x<L (t>0)
(B.C,s) u(0, t)=u(L, t)=0 ( t>0)
(I.C,s) u(x,0)=0
ut(x,0)=(∂y/∂x)t=0=g(x)

Q. Solve the following Inintial boundary value problem:
uxx=1/c^2 ut c<x<L (t>0)
(B.C,s) u(0, t)=u(L, t)=0
(I.C,s) u(x,0)=f(x)= x if 0<x<L/2, -x if L/2<x<L

prove that (1+sinA)²+(1-sinA)²/cos²Α=2(1+sin²Α/1-sin²Α)

Q. IN THE GIVEN FIGURE WE HAVE X AND Y ARE THE MIDPOINTS OF AB AND BC RESPECTIVELY AND AX= CY. SHOW THAT AB=BC.