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navik [9.2K]
3 years ago
15

Sin x= 1.5 value of x

Mathematics
1 answer:
alina1380 [7]3 years ago
3 0

Answer:

x = π - sin^(-1)(3/2) + 2 π n_1 for n_1 element Z

or x = 2 π n_2 + sin^(-1)(3/2) for n_2 element Z

Step-by-step explanation:

Solve for x:

sin(x) = 1.5

1.5 = 3/2:

sin(x) = 3/2

Take the inverse sine of both sides:

Answer:  x = π - sin^(-1)(3/2) + 2 π n_1 for n_1 element Z

or x = 2 π n_2 + sin^(-1)(3/2) for n_2 element Z

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A bug is moving back and forth on a straight path. The velocity of the bug is given by vt=t2-3t. Find the average acceleration o
g100num [7]

Answer:

2 unit/time²

Step-by-step explanation:

Given the equation:

v(t) =t^2-3t

At interval ; 1, 4

V(1) = 1^2 - 3(1)

V(1) = 1 - 3

V(1) = - 2

At t = 4

V(4) = 4^2 - 3(4)

V(4) = 16 - 12

V(4) = 4

Average acceleration : (final - Initial Velocity) / change in time

Average acceleration = (4 - (-2)) ÷ (4 - 1)

Average acceleration = (4 + 2) / 3

Average acceleration = 6 /3

Average acceleration = 2

3 0
3 years ago
Solve for k: 3k - 8 = 22.<br><br><br> possible answers:<br> -10<br> 14/3<br> 15<br> 10
exis [7]

Answer:

???

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Given f(x) = 4x^4 find f^-1(x) Then state whether f^-1(x) is a function.
sdas [7]

Answer:

  • f^{-1}(x)=\pm\sqrt[4]{\dfrac{x}{4}}
  • f^{-1}(x) \quad\text{is not a function}

Step-by-step explanation:

To find the inverse function, solve for y:

x=f(y)\\\\x=4y^4\\\\\dfrac{x}{4}=y^4\\\\\pm\sqrt[4]{\dfrac{x}{4}}=y\\\\f^{-1}(x)=\pm\sqrt[4]{\dfrac{x}{4}}

f(x) is an even function, so f(-x) = f(x). Then the inverse relation is double-valued: for any given y, there can be either of two x-values that will give that result.

___

A function is single-valued. That means any given domain value maps to exactly one range value. The test of this is the "vertical line test." If a vertical line intersects the graph in more than one point, then that x-value maps to more than one y-value.

The horizontal line test is similar. It is used to determine whether a function has an inverse function. If a horizontal line intersects the graph in more than one place, the inverse relation is not a function.

__

Since the inverse relation for the given f(x) maps every x to two y-values, it is not a function. You can also tell this by the fact that f(x) is an even function, so does not pass the horizontal line test. When f(x) doesn't pass the horizontal line test, f^-1(x) cannot pass the vertical line test.

_____

The attached graph shows the inverse relation (called f₁(x)). It also shows a vertical line intersecting that graph in more than one place.

5 0
3 years ago
4 quarts 2 cups − 1 quart 3 cups = ?
nevsk [136]

Answer: 2 quarts 3 cups

6 0
2 years ago
Simplify the following: <br><br> 3to the power of 2 x 3 to the power of 2??
Veseljchak [2.6K]
<h2>Correct question;</h2>

<h2>3 {}^{2}  \times 3 {}^{2}</h2><h2>Required solution;</h2>

<h3>↠ Multiply the terms with the same base by adding their exponents</h3>

<h2>3 {}^{2 + 2}</h2><h3>↠ Add the numbers</h3>

<h2>3 {}^{4}</h2>
  • You can also expand it

After expanding the answer will be 81

expanded \: form \:  = 3 \times 3 \times 3 \times 3 = 81

Hope it helps...

《I own the rights of this answer》

6 0
2 years ago
Read 2 more answers
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