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Every complex number has a real and imaginary part. For the complex number z=a+bi the notation for real and imaginary parts respectively are Re(z)=a and Im(z)=b. If you know thi...

We need to multiply out each bracket and it is best to do this systematically, multiplying each term in the left hand bracket by each term in the right hand bracket. (x+4)(x-3) = (X x X) + (X x -3) + (4 x...

300 x (7/20) = 300/20 x 7 = 15 x 7 = 105 = number of men on the plane.

300 x 0.3 = 90 (Or 300/10 x 3) = number of women on the plane.

105 + 90 = number of adults on the plane = 195.

3...

To solve the problem, we will have to find the maximum common denominator (mcd). We decompose the denominator of every fraction obtaining, 2=2; 3=3; 4=2²; 6=2x3. Now, we take the common factors...

Using the implicit form derivative rule: y'=-F_x' / F_y' :

y'=-(2 x sin(x+y)+x² cos(x+y)-5 y e^x) / (x² cos(x+y)-5 e^x)