Answer:
1. 4p2= 4
why?
4p2 - The derivative of axn is naxn−1.
4P21−1 - Subtract 1 from 1.
4P20 - For any term t except 0, t0=1.
4×1 - For any term t, t×1=t and 1t=t.
Ans= 4
2. 6p2= 6
why?
6p2 - The derivative of axn is naxn−1.
6P21−1 - Subtract 1 from 1.
6P20 - For any term t except 0, t0=1.
6×1 - For any term t, t×1=t and 1t=t.
Ans= 6
3. 6p6= 6
why?
6p6 - The derivative of axn is naxn−1.
6P61−1 - Subtract 1 from 1.
6P60 - For any term t except 0, t0=1.
6×1 - For any term t, t×1=t and 1t=t.
Ans= 6
4. -4+7p4= 7
why?
-4+7p4 - The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of axn is naxn−1.
7p41−1 - Subtract 1 from 1.
7p40 - For any term t except 0, t0=1.
7× 1 - For any term t, t×1=t and 1t=t.
Ans= 7
5. 6p5 = 6
why?
6p5 - The derivative of axn is naxn−1.
6p51−1 - Subtract 1 from 1.
6p50 - For any term t except 0, t0=1.
6×1 - For any term t, t×1=t and 1t=t.
Ans= 6
6. 9pr = 504 - ?
"Solve for P"
9pr=504 - The equation is in standard form.
9rp=504 - Divide both sides by 9r.
9r/9rp=9r/504 - Dividing by 9r undoes the multiplication by 9r.
p= 9r/504 - Divide 504 by 9r.
Ans= p=56/r
"Solve for R"
9pr=504 - The equation is in standard form.
9rp=504 - Divide both sides by 9r.
9pr/9p=504/9p - Dividing by 9p undoes the multiplication by 9p.
r=504/9p - Divide 504 by 9p.
Ans= r=56/p
7. p(n3) = 900 - 900
why?
Factor: 2(squared)×3(squared)×5(squared)
Ans= 900
