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photoshop1234 [79]
3 years ago
8

What is the nth derivative of sin^3x?

Mathematics
1 answer:
Vladimir79 [104]3 years ago
5 0
Using the chain rule.

<span><span>sin^3</span>(x) = [sin(x)<span>]^3

</span></span><span><span>d/<span>dx</span></span>[sin(x)<span>]^3</span>∗<span>d/<span>dx</span></span>[sin(x)]

</span>d/dx sinx = cosx 
d/dx<span> cosx = -sinx </span>
d/dx<span> (-sinx) = -cosx </span>
d/dx <span>(-cosx) = sinx
back to where we started from!!! </span>
So,
repeat repeat repeat !!
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John wants to send a letter to Peter, who lives on Tesla
blondinia [14]

Answer:

The minimum number of letters John has to send to be sure that Peter receives his letter is 127 letters

Step-by-step explanation:

The four digit numbers that are multiples of 5 and 7 with the last digit = 0 is found as follows  

Since the last digit of the house number = 10, then the house number is divisible by 10 which also meets the condition that the house number is divisible by 5

We have the four digit numbers from 1000 to 9999

Hence the numbers divisible by both 7 and 10 are from (1000/70 (Which is 14 + 2/7) - 2/7)×70 + 70 = 1050 to (9999/70 (Which is 142 + 59/70)- 59/70)×70= 9940

Which gives 142 - 15 =  127 numbers which are four digit number multiples of 5 and 7 with the last digit = 0

Hence the minimum number of letters John has to send to be sure that Peter receives his letter = 127 letters.

5 0
3 years ago
A tuna can has a diameter of 5.3 cm and a height of 4.1 cm. What is the volume of a cylindrical package
STALIN [3.7K]

Using the formula v = pi x r^2 x h

pi x 18.0625 x 4

You will get the answer= 72.25pi

and rounded you get

=

<em>72pl</em>

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3 years ago
Which of the following is the inverse of y=6*?
tankabanditka [31]

Answer:

oy=logo 6

Step-by-step explanation:

6 0
3 years ago
Michelle bought a new table that cost $350. The sales tax is 7.5%, how much will the tax increase the cost of the table? *
MissTica

Answer:

$26.25

Step-by-step explanation:

multiply 350 by 0.075

3 0
3 years ago
Their are two boxes at the bottom that I couldn’t fit in, but the answer would go in those two boxes.
valkas [14]

Answer:

3x+8=68 degrees

6x-8= 112 degrees

Step-by-step explanation:

3x+8+6x-8=180

9x=180

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8 0
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