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3 years ago

How to find volume of a solid

Mathematics

2 answers:

tino4ka555 [31]3 years ago

7 0

Length times width times height

barxatty [35]3 years ago

6 0

The specific shape isn't mention in the questions but if this is a rectangular prism/ cube then you would use the formula V = l*w*h (volume is equal to length times width times height)!

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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

What is 10x -5 + 3x -2

Rus_ich [418]

$10x -5 + 3x -2$ , original equation

$10x + 3x = 13x$ $-5-2=-7$

$13x -7$ , final answer

8 0

2 years ago

A microscope shows you an image of an object that is 20 times the objects actual size. Therefore, the scale factor of the enlarg

madam [21]

We just have to multiply 20 by 10mm, which is 200mm. 100mm is equal to one centimeter, so the body length of the insect under the microscope is two centimeters.

4 0

3 years ago

Read 2 more answers

How many milliseconds are there in one day?

Lostsunrise [7]

Answer:

There are 86,400,000 milliseconds in one day

Step-by-step explanation:

Hope that helps :)

4 0

3 years ago

Read 2 more answers

Anyone please help !!

yuradex [85]

Answer:

The answer for the first problem is B. The answer to the second problem is A.

Step-by-step explanation:

Explanation for first problem: Factor the equation and get (w+5)(w-4). Then multiply the numerator of the equation (w-3) by (w-4) and get w²-7w+12.

Explanation for second problem: Plug in the values of choice A., -2 and 4, and they cause the denominators to equal 0 which is against the rules or considered illegal.

8 0

3 years ago