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Marina CMI [18]
2 years ago
12

Find an equation of the tangent line to the curve y=arccos(x/2) at the point (1,4pi)

Mathematics
1 answer:
marishachu [46]2 years ago
5 0
The derivative of inverse trigonometric identities follow<span> a set of rules. </span>
<span>For </span>arc cos<span> x, the </span>dy/dx is equal to -1/ square root of (1 - x2). 
<span>In this case, we still have 1/2 x inside the angle quantity so we multiply the </span>dy/dx above with 1/2. Hence, y' = is -1<span>/ 2 square root of (1 - x2); x = 1, y' is infinity. this means the line is horizontal. The answer hence is y = 1.</span>
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Solve the system of linear equations below.
Ugo [173]

Answer:

A. x = 2, y = 7

Step-by-step explanation:

I graphed the equations on the graph below to find the solution to the system of linear equations.

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3 years ago
algerba write the missing numbers that make these number sentences true . 40+50=60 + ____. __= 89+10​
san4es73 [151]

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Step-by-step explanation:

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3 years ago
A satellite flies 28912 miles in 5.56 hours. How many miles has it flown in 12.93<br> hours?
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2 years ago
Tyler is packing lunches for a local youth program. He has 36 sandwiches, 72 apples, and 108 granola bars. What is the greatest
lys-0071 [83]

Answer:

The greatest number of lunches he can pack so that each lunch has an equal number of sandwiches, apples, and granola bars is 12.

Each lunch will contain 3 sandwiches, 6 apples and 9 granola bars

Step-by-step explanation:

 The greatest common divisor (GCD) of two or more numbers is the largest number by which these numbers can be divided, that is, it is the largest number that divides them all exactly.

In other words, the greatest common divisor of two numbers a and b is the largest number that divides a and divides b.

To find the greatest common divisor of two or more numbers, you start by breaking those numbers down into prime factors. In this case:

36=2²*3²

72 = 2³*3²

108 = 2²*3

The greatest common divisor is obtained by choosing only the prime factors common to the numbers, raised to the smallest exponent. That is, you choose only the common factors and those that are repeated must be raised to the minimum exponent.

The 2 appears as a prime factor in the three decompositions, whose minimum exponent is 2.

3 also appears as a common factor, whose minimum exponent is 1.

By doing the multiplication to get the greatest common divisor, you get:

2²*3=12

So <u><em>the greatest number of lunches he can pack so that each lunch has an equal number of sandwiches, apples, and granola bars is 12.</em></u>

To calculate how many lunches each item will contain, you simply divide the amount you have of each item by the most lunches Tyler can pack, 12.

Sandwiches: 36÷12= 3

Apples: 72÷12= 6

Granola bars: 108÷12= 9

<u><em>Each lunch will contain 3 sandwiches, 6 apples and 9 granola bars</em></u>

3 0
3 years ago
What is the point slope and slope intercept form of 6,1 and 5,4
Keith_Richards [23]
M= -3
b= 19

y= -3x +19 

please crown me brainliest

5 0
3 years ago
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