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Nikolay [14]
3 years ago
9

Find dy/dx (derivative) using Implicit Differentiation: xe^y=x-y

Mathematics
1 answer:
miss Akunina [59]3 years ago
6 0
D (xe^y)/dx = d(x - y)dx
(e^y)dx/dx + xd(e^y)/dx = 1 - y'
e^y + xy'e^y = 1 - y'
(1 + xe^y)y' = 1 - e^y
y' = (1 - e^y)/(1 + xe^y)
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Am i right im not sure please help
cluponka [151]

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Rosalina just started a new job. She has $500 in her bank account. Every week, she deposits $40 into her bank account. Write an
Mrrafil [7]

Answer:

10.14 years

Step-by-step explanation:

The following equation describes the percentage of all eligible voters that are registered to vote as a function of time:

V=100-30e^{-0.04t}

The time 't' for which V(t) = 80 is the amount of years required for the percentage of registered voters to reach 80%:

80=100-30e^{-0.04t}\\\frac{20}{30}= e^{-0.04t}\\ln(\frac{2}{3})=-0.04t*ln(e)\\ t=10.14\ years

It will take 10.14 years until 80% of all eligible voters in your county are registered to vote

8 0
3 years ago
Read 2 more answers
Which of the following p-values will lead us to reject the null hypothesis if thelevel of significance equals 0.05?a.0.15b.0.10c
Ipatiy [6.2K]

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8 0
3 years ago
Find the value of .<br> X<br> 100°<br> Y<br> 130°<br> x<br> 66°<br> w<br> Z
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2 years ago
Please help me please!<br> Also, please show your work image shown below in attachment
WINSTONCH [101]

Answer:

see below

Step-by-step explanation:

some of your answers that you currently have are wrong, I'll note those mistakes below

- when factoring (ie 5x+15) only factor out things that can divide both numbers into a whole number ratio

5x+15 = 5(x+3), not (x+3)(x+5)

ie  \frac{10x^2+20x}{x+2}

we see that 10x can divide the numerator in a whole number ratio

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second mistake: the first binomial expansion is incorrect.

you have the expansion formula right, but you added terms wrong, go look at it again

3. x^2+3x+2/ x^2+5x+6

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(x+1)/(x+3)

4. (x^2+6x+8)/(x^2-16)

(x+4)(x+2)/(x+4)(x-4)

(x+2)/(x-4)

5. we can't simplify that any more, x and y are different variables so therefore we cannot cross out stuff on numerator and denominator

6. (x^4y^6)^2

(x^4y^6)(x^4y^6) = x^8y^{12}

remember that (x^a)(x^b) = x^(a+b)

or remember that (x^a)^b = x^ab

6 0
3 years ago
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