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Write 16*8^2x as a power of 2 in terms of x.

Change 16 as a power of 2 to get 2 4 . Change 8 2x as a power of 2 gives (2 3 ) 2x . You can times the two powers together giving 2 6x .So 16*8 2x =2 4 *2 6x . Now the powers can be added since the bases are...
NA
Answered by Nabeel A. • Maths tutor
14774 Views

Use the substitution u=cos(2x)to find ∫(cos(2x))^2 (sin(2x))^3dx

Step 1 differentiate substitution: du/dx = -2sin(2x)Step 2 rearrange for dx: dx=du/-2sin(2x)Step 3 substitute: integral= ∫u 2 sin 3 (2x).du/-2sin(2x)Step 4 get the integral in terms of u by cancelling: integ...
NA
Answered by Nabeel A. • Maths tutor
7806 Views

Draw a graph and clearly label any x and y intercepts for the equation y=x^2+6x+9

Step 1: Factorise the equation either directly or by using the quadratic formulae {[-b(+/-)sqrt(b^2-4ac)]/2a}. This equation can be factorised directly since 3*3=9 (for the last term on the RHS) and 3+3=6 (f...
EY
Answered by Emad Y. • Maths tutor
4298 Views

Calculate dy/dx for y=x(x−1)

y=x(x−1)y= x^2-xdy/dx= 2x-1
BS
Answered by Bella S. • Maths tutor
6184 Views

I struggle with simultaneous equations, when you have a quadratic involved

Example solve the following, equation 1: x 2 +2y=9 equation 2: y=x+3In this example we have to use substitution, therefore we sub in equation 2 into 1 to get the following x 2 +2(x+3)=9 , now we must expand ...
BF
Answered by Benjamin F. • Maths tutor
3192 Views