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2 years ago

Hey y’all,please help me :)

Mathematics

1 answer:

givi [52]2 years ago

5 0

Answer:

-c-4≥8

Step-by-step explanation:

Just ask!

Hope this helps. :)

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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

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Olivia is growing roses and keeps track of how much fertilizer (in ounces) she adds to the soil and how many blooms each rose

lina2011 [118]

Answer:

i am in middle school but i know it Yx6

Step-by-step explanation:

7 0

2 years ago

Sin(-x)=-sinx for all values x

Allushta [10]

Answer:

True

Step-by-step explanation:

This is just a general property to know, I don't want to prove it LOL

5 0

3 years ago

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Find an equation of the line containing the point (3,3) and parallel to y = 2 x − 1 y=2x-1.

pickupchik [31]

Y=mx+b
y=2x+b
then substitute x and y
3=2(3) + b
3= 6 + b
b=-3
y=2x-3

7 0

2 years ago

A serving size for pineapple-orange punch is 1/2 cup. Liam needs to make 72 servings of punch. He will use 8 pints of pineapple

Luden [163]

Since a serving is 1/2 cup and he needs 72 servings you can multiply 72 by 1/2 and find out that he needs to make 36 cups of punch. Two cups is a pint so he needs (36 / 2) 18 pints of juice. He already has the 8 pints of pineapple juice so 18 - 8 leaves 10 pints of orange juice.

8 0

2 years ago