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4 years ago

PLEASE HELP ALGEBRA!

Mathematics

1 answer:

JulijaS [17]4 years ago

5 0

The answer is <em>all real numbers</em>. Domain is defined as all possible x-values, and in the case of the equation $y=10^x$ , <em>x</em> can be any real number.

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32 ⋅ 33 = ? help pelase

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The answer is 1,056. You can just use a calculator

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3 years ago

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For what values of x will this function be defined?

Citrus2011 [14]

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Step-by-step explanation:

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3 years ago

Find the x-coordinates where f ' (x)=0 for f(x)=2x+sin(4x) in the interval [0, pi]

MAVERICK [17]

Answer:

The x-coordinate is \dfrac{\pi}{6}[/tex].

Step-by-step explanation:

We are given a function f(x) as:

$f(x)=2x+\sin (4x)$

Now on differentiating both side with respect to x we get that:

$f'(x)=2+4 \cos (4x)$

When $f'(x)=0$

this means that $2+4\cos (4x)=0\\\\4\cos (4x)=-2\\\\\cos(4x)=\dfrac{-1}{2}$

Hence, cosine function takes the negative value in second and third quadrant but we have to only find the value in the interval $[0,\pi]$ .

also we know that $\cos (\dfrac{2\pi}{3})=\dfrac{-1}{2}$ ----(1) (which lie in the second quadrant)

so on comparing our equation with equation (1) we obtain:

$4x=\dfrac{2\pi}{3}\\\\x=\dfrac{\pi}{6}$

Hence, the x-coordinates where $f'(x)=0$ for $f(x)=2x+\sin(4x)$ is $\dfrac{\pi}{6}$ .

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4 years ago

1 of 20 (19 complete)

Marina86 [1]

I hope this helps you find the answer you're looking for

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3 years ago

A new park is built with a 3/4 mile trail around a lake. The city wants to include a bench every 1/8 of a mile. How many benches

aleksandr82 [10.1K]

Answer:

6 benches are needed

Step-by-step explanation:

3/4= 6/8

1/8 goes into 6/8, 6 times so,

6 benches are needed on the 3/4 mile trail

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3 years ago

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