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3 years ago

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Mathematics

1 answer:

Nesterboy [21]3 years ago

5 0

i think a. hope it helps

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Simplify the given exponential expression.

Andrews [41]

The rule for multiplying similar bases with exponents is:

(a^b)*(a^c)=a^(b+c)

In this case you have:

(x^9)(x^2)

x^(9+2)

x^11

6 0

3 years ago

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How do you integrate arctan(x dx? i think that if you simplify the integral you get:?

Temka [501]

Integration by parts will help here. Letting $u=\arctan x$ and $\mathrm dv=\mathrm dx$ , you end up with $\mathrm du=\dfrac{\mathrm dx}{1+x^2}$ and $v=x$ . Now

$\displaystyle\int\arctan x\,\mathrm dx=uv-\int v\,\mathrm du$
$\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\int\frac x{1+x^2}\,\mathrm dx$

For the remaining integral, setting $y=1+x^2$ gives $\dfrac{\mathrm dy}2=x\,\mathrm dx$ , so

$\displaystyle\int\frac x{1+x^2}\,\mathrm dx=\frac12\int\frac{\mathrm dy}y=\frac12\ln|y|+C=\frac12\ln(1+x^2)+C$

Putting everything together, you end up with

$\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\frac12\ln(1+x^2)+C$

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2 years ago

What is 3^-3 * 10^-2 evaluated?

SVEN [57.7K]

Step-by-step explanation:

3^(-3) * 10^(-2)

= 1/27 * 1/100

= 1/2700.

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3 years ago

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Absolute Value Inequalities |x−7|+|1−x|>6

skad [1K]

Answer:

x>-1

Step-by-step explanation:

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2 years ago

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What is 1/8-10(3/4-3/8x)+5/8x

cluponka [151]

Answer:

x = 59/35

Step-by-step explanation:

Step 1: Distribute

1/8 - 10(3/4 - 3/8x) + 5/8x

1/8 - 30/4 + 30/8x + 5/8x

Step 2: Combine like terms

1/8 - 30*2/4*2 - 30/8x + 5/8x

1/8 - 60/8 + 35/8x

-59/8 + 35/8x

Step 3: Solve for x

-59/8 + 35/8x + 59/8 = 0 + 59/8

35/8x * 8/35 = 59/8 * 8/35

x = 59/35

Answer: x = 59/35

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3 years ago