3 years ago

What's the product of (3a^2b)*(-2ab^3)

1 answer:

7 0

Explanation:

First, we can rewrite:3a2b×−2ab3as(3×−2)(a2×a)(b×b3)⇒−6(a2×a)(b×b3)Next, use this rule for exponents to rewrite the expression:a=a1−6(a2×a1)(b1×b3)Now, use this rule of exponents to complete the multiplication:xa×xb=xa+b−6(a2×a1)(b1×b3)⇒−6a2+1b1+3⇒−6a3b4

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Evaluate the definite integral

Georgia [21]

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Let $y=x-9$ , so that $x=y+9$ and $\mathrm dx=\mathrm dy$ . The integral is then equivalent to

$\displaystyle\int_{y=0}^{y=1}(y+9)\sqrt y\,\mathrm dy=\int_0^1(y^{3/2}+9y^{1/2})\,\mathrm dy=\dfrac{32}5$