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3 years ago

21 is less than a number

Mathematics

1 answer:

bezimeni [28]3 years ago

7 0

The less than sign is <, so it’s going to be 21

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Limit (sin4x-4sinx)/x^3 when x close to zero

BartSMP [9]

$\Large \boxed{\sf \bf \ \ \lim_{x\rightarrow0} \ {\dfrac{sin(4x)-4sin(x)}{x^3}}=-10 \ \ }$

Step-by-step explanation:

Hello, please consider the following.

Using Maclaurin series expansion, we can find an equivalent of sin(x) in the neighbourhood of 0.

$sin(x) \sim \left(x-\dfrac{x^3}{3!}\right)\\\\\text{So, in the neighbourhood of 0}\\\\\begin{aligned}(sin(4x)-4sin(x)) &\sim \left( 4x-\dfrac{(4x)^3}{3!}-4x+\dfrac{4x^3}{3!}\right)\\\\&\sim \left(\dfrac{x^3*4*(1-4^2)}{3*2}\right)\\\\&\sim \left(\dfrac{x^3*2*(-15)}{3}\right)\\\\&\sim \left(x^3*2*(-5)\right)\\\\&\sim \left(x^3*(-10)\right)\\\end{aligned}$

Then,

$\displaystyle \lim_{x\rightarrow0} \ {\dfrac{sin(4x)-4sin(x)}{x^3}}\\\\= \lim_{x\rightarrow0} \ {\dfrac{-10*x^3}{x^3}}\\\\=-10$

Thank you

4 0

3 years ago

Read 2 more answers

Help me its easy lol

jeka57 [31]

Answer:

265 BOXES /4 BOTTLES WILL BE WITHOUT BOXES

Step-by-step explanation:

I SUBTRACTED 2136 FROM 8500. IT GAVE ME 6364. THE I TRIED TO DEVIDE BY 24 BECUASE ITS THE NUMBER OF BOTTLES IN A BOX. IT GAVE A MIXED NUMBER WICH IS 265.16 TERMINATING. I TRIED TO DEVIDE 6360 INSTAID OF 6364 AND IT GAVE 265 AND THE REMAINDER WAS 4.

WELCOM

3 0

2 years ago

A cylinder has a base diameter of 16cm and a height of 19cm. What is it’s volume in Cubic cm to the nearest tenths place

lana66690 [7]

Answer:

Step-by-step explanation:

add 19 twice and 16 twice to get your answer.

5 0

3 years ago

Read 2 more answers

Please help me fasttttttttt

prohojiy [21]

X = 60 degrees
Y = 60 degrees
Z = 40 degrees

6 0

3 years ago

Help with parallel lines, please?

lianna [129]

No, in order for the lines to be parallel, the slopes have to be the same, it does not matter what the slopes are as long as they are the same slope. The lines could still be parallel if the slopes are negative.

5 0

3 years ago