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Lelu [443]
2 years ago
14

Let F of x equals the integral from 1 to 3 times x of the natural logarithm of t squared. Use your calculator to find F″(1).

Mathematics
2 answers:
eduard2 years ago
7 0
Reading that as

F(x)=\displaystyle\int_1^{3x}(\ln t)^2\,\mathrm dt

By the fundamental theorem of calculus, the first derivative is

F'(x)=3(\ln(3x))^2

and so the second derivative would be

F''(x)=\dfrac{6\ln(3x)}x

which means

F''(1)=6\ln3
Sindrei [870]2 years ago
5 0

Answer: answer is 6

Step-by-step explanation:

Took the test and got it correct !

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Why can you use fraction multiplication to check the answer to a fraction division problem? How do you use multiplication to che
erica [24]
Fraction division is basically multiplication of a reciprocal.

For example (1/4)/(1/8) = (1/4)x(8/1)=2

Multiplication of the answer and the piece that divides (in this case 2 x 1/8), you should get the piece that is being divided (in this case 1/4). If that is correct, then your division is correct.
6 0
3 years ago
Read 2 more answers
Please help asap 30 pts
Sergio [31]

4w-2(1-w)=-38\qquad|\text{use distributive property}\\\\4w+(-2)(1)+(-2)(-w)=-38\\\\4w-2+2w=-38\qquad|\text{add 2 to both sides}\\\\4w+2w=-36\\\\6w=-36\qquad|\text{divide both sides by 6}\\\\\boxed{w=-6}

<h3>Answer: d. w = -6</h3>
4 0
3 years ago
PLS HELP THIS IS VERY URGENT!!!! i really need help on this!! I need to turn this in very soon. i would appreciate your help.
Marysya12 [62]

Answer:

17= 2/3

13,,,a=> (5x+5) (x+3)

Step-by-step explanation:

.........................

Forgive me if wrong

8 0
2 years ago
A line passes through the points (-2, 9) and (1, 3).
siniylev [52]

Answer:

slope = -2

y-intercept = 5

Step-by-step explanation:

1) Find slope:

\frac{3-9}{1-(-2)} =  \frac{-6}{3} = -2

-2 = slope

2) Find y intercept trough point slope and slope-intercept forms

y - y1 = m (x - x1)

y - 9 = -2 (x + 2)

y - 9 = -2x -4

  + 9         + 9

y = -2x + 5

y = mx + b with b being the y-intercept

5 = y-intercept

7 0
2 years ago
You roll two fair dice, one green and one red. (a) Are the outcomes on the dice independent? Yes No (b) Find P(1 on green die an
ASHA 777 [7]

Answer:

a

  Yes

b

 P(1 \& 5) = \frac{1}{36}

c

 P(5 \& 1) = \frac{1}{36}

d

 P(5 \& 1 | 1\& 5  ) = \frac{1}{18}

Step-by-step explanation:

From the question we are told that

     Two fair dice, one green and one red were rolled

Generally the  outcomes on the dice independent because the outcome on the first dice is not affected by the second die

Generally the  probability of getting a 1  on a dice rolled is  P(1) =  \frac{1}{6}

the  probability of getting a 5 on a dice rolled is  P(5) =  \frac{1}{6}

Generally the probability of P(1 on green die and 5 on red die) is mathematically represented as

         P(1 \& 5) = \frac{1}{6}  *\frac{1}{6}

         P(1 \& 5) = \frac{1}{36}

Generally the probability of P(5 on green die and 1 on red die) is mathematically represented as

          P(5 \& 1) = \frac{1}{6}  *\frac{1}{6}

         P(5 \& 1) = \frac{1}{36}

Generally the probability of P((1 on green die and 5 on red die) or (5 on green die and 1 on red die)) is mathematically represented as

          P(5 \& 1 | 1\& 5  ) = \frac{1}{36} + \frac{1}{36}

         P(5 \& 1 | 1\& 5  ) = \frac{1}{18}

8 0
3 years ago
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