Louis knows that 7 × 5 is 35. Use the drop-down menu to show how he can use this knowledge to find 7 × 6.

Mathematics

1 answer:

Lesechka [4]3 years ago

5 0

Umm I'm not sure. Put it in a calculator?

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Helppp plezzzzzzes will give braniniilist

BabaBlast [244]

Answer:

1. Equivalent
2. Not equivalent

Step-by-step explanation:

1. Equivalent because there's 4 x's that you add all together and that makes 4x
2. Not equivalent because 5x means there's 5 x's or x + x + x + x + x not only 1 x plus a number 5

6 0

1 year ago

Read 2 more answers

Evaluate using integration by parts

PolarNik [594]

Rather than carrying out IBP several times, let's establish a more general result. Let

$I(n)=\displaystyle\int x^ne^x\,\mathrm dx$

One round of IBP, setting

$u=x^n\implies\mathrm du=nx^{n-1}\,\mathrm dx$

$\mathrm dv=e^x\,\mathrm dx\implies v=e^x$

gives

$\displaystyle I(n)=x^ne^x-n\int x^{n-1}e^x\,\mathrm dx$

$I(n)=x^ne^x-nI(n-1)$

This is called a power-reduction formula. We could try solving for $I(n)$ explicitly, but no need. $n=5$ is small enough to just expand $I(5)$ as much as we need to.