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timofeeve [1]

3 years ago

lass="latex-formula">

Mathematics

1 answer:

allochka39001 [22]3 years ago

5 0

Step-by-step explanation:

Sin(A+B) = Sin A Cos B + Cos A Sin B.

Sin 75 = Sin ( 45 + 30) = Sin 45 Cos 30 + Cos 45 Sin 30. Sin 75 = (1 / √2) ( √3 / 2) + (1 / √2) ( 1 / 2) = [ √3 + 1] / 2√2.

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Represent the geometric series using the explicit formula. 2, −8, 32, −128, … f(n) = 2 ⋅ (−4)(n−1) f(n) = 2 ⋅ (4)(n−1) f(n) = f(

Stolb23 [73]

Answer:

Option B

Step-by-step explanation:

I did the test and I got it right.

3 0

3 years ago

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Differentiate x^2 e^x logx

zimovet [89]

Product rule:

$\dfrac{\mathrm d}{\mathrm dx}(x^2e^x\log x)$

$=\dfrac{\mathrm d(x^2)}{\mathrm dx}e^x\log x+x^2\dfrac{\mathrm d(e^x)}{\mathrm dx}\log x+x^2e^x\dfrac{\mathrm d(\log x)}{\mathrm dx}$

Power rule:

$\dfrac{\mathrm d(x^2)}{\mathrm dx}=2x$

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$\dfrac{\mathrm d(e^x)}{\mathrm dx}=e^x$

Assuming the base of $\log x$ is $e$ , its derivative is

$\dfrac{\mathrm d(\log x)}{\mathrm dx}=\dfrac1x$

But if you mean a logarithm of arbitrary base $b$ , we have

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So we end up with

$2xe^x\log x+x^2e^x\log x+\dfrac{x^2e^x}x$

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8 0

3 years ago

5 3/16" into millimeters

Anit [1.1K]

131.7625 would be your answer here

5 0

4 years ago

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If a =3x^2+5x-6 and b =-2x^2 -6x+7 then A - B equals

gizmo_the_mogwai [7]

Answer:

$5x^2+11x-13$

Step-by-step explanation:

$a=3x^2+5x-6\\b=-2x^2-6x+7$

$a-b=(3x^2+5x-6)-(-2x^2-6x+7)=\\3x^2+5x-6+2x^2+6x-7=\\5x^2+11x-13$

Hope this helps!

3 0

3 years ago

10×(2.5+13.5) write the numerical expressions in words then solve

Alex73 [517]

Ten times two point five plus thirteen point five

10 x (2.5 + 13.5) = 160

Hope this helps

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6 0

3 years ago