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evatuate each expresson

1.4p2
2.6p2
3.6p6
4.-4+7p4
5.6p5
6.9pr=504
7.p(n3)=900​


Sagot :

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