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2 years ago

Calculus - need work shown

Mathematics

2 answers:

Trava [24]2 years ago

7 0

$\frac{ - 1}{2} [\cos(8x(x + 3))]+ c$

Cloud [144]2 years ago

7 0

Answer:

$\large \text{$ -\dfrac{1}{2}\cos (8x^2+24x) + C $}$

Step-by-step explanation:

$\large \displaystyle\begin{aligned}\textsf{let }\:u & =8x^2+24x\\\\\implies \dfrac{du}{dx} & =16x+24\\ & =2(8x+12)\\\\\implies dx & =\dfrac{1}{2(8x+12)}\: du\\\end{aligned}$

$\large\displaystyle\begin{aligned}\int (8x+12) \sin (8x^2+24x)\:dx & = \int (8x+12) \sin (u) \cdot \dfrac{1}{2(8x+12)}\:du\\\\& = \int \dfrac{(8x+12)\sin (u)}{2(8x+12)}\:du\\\\& = \int \dfrac{1}{2}\sin (u)\:du\\\\& = -\dfrac{1}{2}\cos (u) + C\\\\& = -\dfrac{1}{2}\cos (8x^2+24x) + C\\\\\end{aligned}$

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During 4 days, the price of the stock of PEV Corporation went up 1/4 of a point, down 1/3 of a point, down 3/4 of a point, and u

HACTEHA [7]

The price of the stock of PEV Corporation varies as shown. we have to determine the net charge. Net change is just how much it changed overall, so we will look for all the ups minus all the downs.

Here, "went up" goes with a + sign, and "went down" goes with a - sign.

So, Net charge = $\frac{1}{4} - \frac{1}{3}-\frac{3}{4} + \frac{7}{10}$

= $\frac{1}{4}-\frac{3}{4}- \frac{1}{3} + \frac{7}{10}$

= $-\frac{2}{4}- \frac{1}{3} + \frac{7}{10}$

= $-\frac{1}{2}- \frac{1}{3} + \frac{7}{10}$

LCM of 2,3 and 10 is 30

= $\frac{-15-10+21}{30}$

= $\frac{-4}{30}$

= $\frac{-2}{15}$

So, the net charge is $\frac{-2}{15}$

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3 years ago

HELP ME PLZ THX YOU.....

docker41 [41]

Answer:

Step-by-step explanation:

The rate of change is not the same

5 0

3 years ago

Read 2 more answers

Which system about this figure is true?

jok3333 [9.3K]

Answer:

1) It has rotational symmetry with an angle of rotation of 90 degrees.

TRUE, it has rotational degree, FALSE, angle of rotation is 180 degrees

2)It has no reflection symmetry. FALSE

3)It has reflection symmetry with many planes of symmetry. TRUE

4) It has no rotational symmetry. FALSE

Step-by-step explanation:

Rotational Symmetry is when an object is rotated around a center point (turned) a number of degrees and the object appear the same.

Symmetry Order = Number of turns it takes to get to its similar position.

Reflected Symmetry : When a line is drawn which divides the shape in to two equal halves it is called reflective symmetry.

Consider the given figure:

1) It has rotational symmetry with an angle of rotation of 90 degrees.

TRUE, it has rotational degree.

FALSE, it regains its identical shape in 90 degrees, it is in 180 degrees.

2)It has no reflection symmetry.

FALSE, the given figure has reflection symmetry along both horizontal and vertical axis.

3)It has reflection symmetry with many planes of symmetry.

TRUE, it has inflectional symmetry in Horizontal as well a in vertical plane.

4) It has no rotational symmetry.

FALSE, it has a rotational symmetry of ORDER 2

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3 years ago

A high school student named David Merrell did a study of how music affects the ability of rats to run a maze. He trained 71 rats

Alona [7]

Step-by-step explanation:

Heavy Metal "music" impacts negatively the long term memory, if at least the ability to access it.

while harmonic music has no blocking effect or maybe even strengthens the long term memory and the ability to access it.

here 3 remarks.

first 2 scientifically from psychology : memory works mostly associative. that means brains do not store absolute information like a digital computer, but always in combination and association with other pieces of information. if there is nothing else to remember (like a more or less random pattern of sound effects for that the brain cannot find a rule or concept for), there are no associations with presented pieces of information, and the storage and access to it is much harder and restricted.

and - loud crashing and seemingly random noise triggers the panic mode in our brains. and panic is the mode favoring pure instinct and suppressing cognitive functions.

and finally, personally, it just confirms what I literally feel when listening to such music : it destroys at that moment any ability to keep a straight thought, prolonged exposure gives me the feeling that something gets broken inside my brain and thought processes.

I suspect that this is exactly the feeling that the fans of this kind of music are after (kind of like most drugs), but I am not surprised that there actually is something broken in the brain (again, as with drugs).

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2 years ago

What is the approximate circumference of the circle shown below

netineya [11]

Answer:

Step-by-step explanation:

to find circumference of a circle you need to multiple r (7 in here) with 2 and pi

therefore the answer is : 2x7x3 = 42 or 44 approximately

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3 years ago

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