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BlackZzzverrR [31]
3 years ago
6

Help (5a-3a^3)*(4a-1)

Mathematics
1 answer:
ivann1987 [24]3 years ago
3 0

Answer:

-12a^{4}  + 3a^{3} + 20a^{2} -5a

Step-by-step explanation:

(5a-3a^{3} ) • (4a-1)

Let's use FOIL (first, outer, inner, last) to solve this. We'll multiply the terms by one another in that fashion.

20a^{2} - 5a - 12a^{4} + 3a^{3}

Rearrange in decreasing exponents.

-12a^{4}  + 3a^{3} + 20a^{2} -5a

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7 0
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}.

5 0
3 years ago
How would you best describe the angle pair<br> &lt;3 and &lt;8
Alex_Xolod [135]

Answer:

Vertical angles

5 0
3 years ago
Please help!! giving brainliest !!!
ryzh [129]

Answer:

vertical angle theorem

Step-by-step explanation:

angles that are opposite of  each other and formed by two intersecting straight lines, are congruent.

3 0
2 years ago
What is this fraction as a decimal?
expeople1 [14]
14.4
hope this helps:)
6 0
2 years ago
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