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Likurg_2 [28]
3 years ago
15

Vertical angles must be:

Mathematics
1 answer:
AlexFokin [52]3 years ago
3 0
Vertical angles are congruent (equal in measure) and they have the same vertex point. 
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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

The exponential function is its own derivative:

\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

y=\log_bx\implies x=b^y=e^{y\ln b}\implies1=e^{y\ln b}\ln b\dfrac{\mathrm dy}{\mathrm dx}

\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{e^{-y\ln b}}{\ln b}=\dfrac1{b^y\ln b}

\implies\dfrac{\mathrm d(\log_bx)}{\mathrm dx}=\dfrac1{x\ln b}

So we end up with

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

=xe^x(2\log x+x\log x+1)

8 0
3 years ago
Please answer !!!!!! Will mark brainliest !!!!!!!!
Inga [223]

Answer:

f(u) = 9/5

Step-by-step explanation:

u - 5 = -4(u - 1)      Distribute on the right side

u - 5 = -4u + 4

+4u      +4u            Add 4u to both sides

5u - 5 = 4

    + 5   + 5            Add 5 to both sides

5u = 9                    Divide both sides by 5

u = 9/5

3 0
3 years ago
Read 2 more answers
What is the area of the parallelogram?
Marizza181 [45]

Answer:

0.6

Step-by-step explanation:

3 0
3 years ago
15 16 17 18 19 Ancers please
kodGreya [7K]

15. 1hour 7minutes and 5seconds

4 0
3 years ago
Carpenter A charges $50 an hour. Carpenter B charges $20 to visit your home plus $45 for each hour. For how many hours will the
umka2103 [35]

Answer:

4 hours to pay the same amount

and aif you want a 3 hours work you should get carpenter A

Step-by-step explanation:

50x = 20 + 45x \\ 5x = 20 \\ x = 4hours \\

carpenter A for 3 hours:

50 \times 3 = 150dollars \\

carpenter B for 3 hours:

20 + 45 \times 3 = 155dollars

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