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netineya [11]
3 years ago
6

Dy/dx y = 3root(4x+1) -2x

Mathematics
2 answers:
scoray [572]3 years ago
5 0

Answer:

Step-by-step explanation:

y = 3(4x + 1)^1/2 - 2x

dy/dx = 3*1/2(4x + 1)^-1/2 * 4  - 2

= 4 * 1.5 (4x + 1)^-1/2 - 2

= 6(4x + 1)^-1/2 - 2

= [6/√(4x + 1)] - 2

y = 3(4x + 1)^1/2 - 2x

∫3(4x + 1)^1/2 - 2x . dx

= 3 * 1/4 *  (4x + 1)^3/2 / 3/2 - x^2 + C

= 3/4 * 2/3 (4x + 1)^3/2 - x^2 + C

= 1/2((4x + 1)^3/2 - 2x^2) + C.

miss Akunina [59]3 years ago
4 0

Answer:

Step-by-step explanation:

y=3*\sqrt{4x+1} -2x\\\\y'=\dfrac{dy}{dx} =\dfrac{3}{2*\sqrt{4x+1} } -2\\\\\\\int {(3*\sqrt{4x+1} -2x}) \, dx \\\\=\dfrac{3}{4} *\int {4*(4x+1)}^{\frac{1}{2}}  \, dx      -2\int {x} \, dx \\\\=\dfrac{-3}{4}*\sqrt{(4x+1)^3} *\dfrac{2}{3}  }-x^2+C\\\\=\dfrac{\sqrt{(4x+1)^3}}{2} -x^2+C

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How can the answer me 9x9x8x7 if you are not supposed to repeat digits?
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Answer: 4,536

Step-by-step explanation: Multiply your two 9's to get 81. Multiply your 8 and 7 to get 56. Multiply 81 and 56 together to get your answer of 4,536.

9 x 9 = 81

8 x 7 = 56

81 x 56 = 4,536

Use long multiplication to evaluate this equation.

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4 0
3 years ago
第 5 个问题 a multiple choice exam has 10 questions. each question has 3 possible answers, of which one is correct. a student knows
tatuchka [14]

The chances that the student was merely guessing is 1/3.

Bayes Theorem determines the conditional probability of an event A given that event B has already occurred.

denoted by

P(A/B)=\frac{P(A)*P(B/A)}{P(B)}

let A be the  event that the student knows the answer .

B be  the  event that the student does not knows the answer .

and

E be the event he gets answer correct .

According to the given question

P(A)=\frac{4}{10} \\\\ P(B)=1-\frac{4}{10} =\frac{6}{10}

Probability that the answer is correct ,given that he knows the answer is

P(E/A)=1

Probability that the answer is correct ,given that he guesses it is

P(E/B)=\frac{1}{3}   [as the MCQ has 3 options and only one is correct]

We need to find the probability that he guesses the answer given that it is correct.

Required probability P(B/E)=\frac{P(B)*P(E/B)}{P(A)*P(E/A)+P(B)*P(E/B)}

Substituting the values we get

P(B/E)=\frac{\frac{6}{10} *\frac{1}{3} }{\frac{4}{10} *1+\frac{6}{10} *\frac{1}{3} }

=\frac{6}{30}*\frac{30}{18}  \\ \\ =\frac{6}{18} \\ \\ =\frac{1}{3}

Therefore ,  the chances that the student was merely guessing is 1/3.

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Answer:

sure why not

Step-by-step explanation:

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3 years ago
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What are you finding when you are asked what is 60% of 175? the part, the whole or the precent​
butalik [34]

Answer:

105 is the part.

Step-by-step explanation:

175 is the whole

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x is the part

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3 0
2 years ago
1.A study was created to test the effects of jazz on people's sleep patterns. The hypothesis of the experiment was
ycow [4]

Answer:

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Control Group: people sleeping without jazz music

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Step-by-step explanation:

The independent variable is the one which is not altered by any outer influence. For example the jazz music will not be interrupted by the sleeping habits of people.

The dependent variable is the one which is affected by external changes such as sleeping time is afffected by external music or noises.

Experimental group on which experiment is being carried out.

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Constants which do not change for the number of experiment, could be number of people, type of jazz music, volume of jazz music also sleep is a constant .

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