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Nuetrik [128]
3 years ago
9

Can someone help me find the error?

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
6 0
(-2)^2 actually equals 4
-2×-2=positive 4. :)
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Find the derivative
zalisa [80]

First use the chain rule; take y=\dfrac{x+5}{x^2+3}. Then

\dfrac{\mathrm df}{\mathrm dx}=\dfrac{\mathrm df}{\mathrm dy}\cdot\dfrac{\mathrm dy}{\mathrm dx}

By the power rule,

f(x)=y^2\implies\dfrac{\mathrm df}{\mathrm dy}=2y=\dfrac{2(x+5)}{x^2+3}

By the quotient rule,

y=\dfrac{x+5}{x^2+3}\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{(x^2+3)\frac{\mathrm d(x+5)}{\mathrm dx}-(x+5)\frac{\mathrm d(x^2+3)}{\mathrm dx}}{(x^2+3)^2}

\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{(x^2+3)-(x+5)(2x)}{(x^2+3)^2}

\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{3-10x-x^2}{(x^2+3)^2}

So

\dfrac{\mathrm df}{\mathrm dx}=\dfrac{2(x+5)}{x^2+3}\cdot\dfrac{3-10x-x^2}{(x^2+3)^2}

\implies\dfrac{\mathrm df}{\mathrm dx}=\dfrac{2(x+5)(3-10x-x^2)}{(x^2+3)^3}

6 0
3 years ago
1 459/500 as a decimal
Ronch [10]

Answer:

1.918

Step-by-step explanation:

1 then do 459/500 x 2 to make 918/1000 then add and convert

6 0
2 years ago
In a television series there is exactly one crime committed in every episode. It has been observed that the probability that the
Rama09 [41]

Answer:

P(x \le 3) = 0.2352

Step-by-step explanation:

Given

p = 0.35 --- male committing a crime in an episode

n = 5 -- Number of episodes

Required

Determine the probability of male committing a crime at least 3 times

This question illustrates binomial distribution and will be solved using;

P(x) = ^nC_x * p^x * (1 - p)^{n-x

So, the required probability is represented as:

P(x \ge 3)

And will be calculated using:

P(x \ge 3) = P(x = 3) + P(x = 4) + P(x = 5)

P(x = 3) = ^5C_3 * (0.35)^3 * (1 - 0.35)^{5-3}

P(x = 3) = ^5C_3 * (0.35)^3 * (1 - 0.35)^2

P(x = 3) = 10 * (0.35)^3 * (0.65)^2

P(x = 3) = 0.1811

P(x = 4) = ^5C_4 * (0.35)^4 * (1 - 0.35)^{5-4}

P(x = 4) = 5 * (0.35)^4 * (1 - 0.35)^1

P(x = 4) = 5 * (0.35)^4 * (0.65)

P(x = 4) = 0.0488

P(x = 5) = ^5C_5 * (0.35)^5 * (1 - 0.35)^{5-5}

P(x = 5) = 1 * (0.35)^5 * (1 - 0.35)^0

P(x = 5) = 1 * (0.35)^5 * (0.65)^0

P(x = 5) = 1 * (0.35)^5 * 1

P(x = 5) = 0.0053

So:

P(x \ge 3) = P(x = 3) + P(x = 4) + P(x = 5)

P(x \le 3) = 0.1811 + 0.0488 + 0.0053

P(x \le 3) = 0.2352

4 0
2 years ago
Find the circumference and area of the circle​
jekas [21]

Answer:

  • The area of a circle is
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4 0
3 years ago
Read 2 more answers
Plsssssssssss just helppppp
yan [13]

Answer:

46

Step-by-step explanation:

The missing length is 10-4 = 6

Therefore perimeter = 5 + 6 + 8+ 4+13 +10

=46

3 0
2 years ago
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