PST ME Block Q2

1. What is the value of

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Explanation

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2. What is the value of Arccot(0)

The value of Arccot(0) is equal to π/2. This is because the arccotangent function returns the angle whose cotangent is equal to the given value. Since the cotangent of π/2 is 0, the arccotangent of 0 is π/2.

Explanation

The value of Arccot(0) is equal to π/2. This is because the arccotangent function returns the angle whose cotangent is equal to the given value. Since the cotangent of π/2 is 0, the arccotangent of 0 is π/2.

3. What is the exponential form of

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Explanation

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4. What is the value of Arcsin 0?

0

The value of Arcsin 0 is 0 because the arcsine function returns the angle whose sine is equal to the given value. Since the sine of 0 is 0, the arcsine of 0 is also 0.

Explanation

The value of Arcsin 0 is 0 because the arcsine function returns the angle whose sine is equal to the given value. Since the sine of 0 is 0, the arcsine of 0 is also 0.

5. What is the value of ?

0

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Explanation

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6. What is the value of Arccos(-1)

0

The value of Arccos(-1) is 180 degrees or π radians. This is because Arccos is the inverse function of cosine, and cosine of 180 degrees or π radians is equal to -1.

Explanation

The value of Arccos(-1) is 180 degrees or π radians. This is because Arccos is the inverse function of cosine, and cosine of 180 degrees or π radians is equal to -1.

7. What is the value of Arccos0

0

The value of Arccos0 is 90 degrees or π/2 radians. This is because the arccosine function gives the angle whose cosine is equal to the given value. In this case, the cosine of 90 degrees is 0, so the arccosine of 0 is 90 degrees.

Explanation

The value of Arccos0 is 90 degrees or π/2 radians. This is because the arccosine function gives the angle whose cosine is equal to the given value. In this case, the cosine of 90 degrees is 0, so the arccosine of 0 is 90 degrees.

8. What is x in ?

5

25

125

625

The pattern in the given sequence is that each number is obtained by multiplying the previous number by 5. Starting with 5, we have 5 * 5 = 25, 25 * 5 = 125, and 125 * 5 = 625. Therefore, the missing number in the sequence is 125.

Explanation

The pattern in the given sequence is that each number is obtained by multiplying the previous number by 5. Starting with 5, we have 5 * 5 = 25, 25 * 5 = 125, and 125 * 5 = 625. Therefore, the missing number in the sequence is 125.

9. What is

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Explanation

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10. Expand

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Explanation

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11. What is the value of ?

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Explanation

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12. What is the value of

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Explanation

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13. When expressed as a single logarithm is equal to

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Explanation

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14. What is the value of

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Explanation

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15. For what values of x is

X can be any real number

X can be any positive real number

X can be any nonnegative real number

X can be any positive integer

The given answer states that x can be any positive real number. This means that x can take on any value that is both positive and a real number. It includes all positive integers as well as any positive fraction or decimal. The answer does not include any negative numbers or zero, as those are not considered positive.

Explanation

The given answer states that x can be any positive real number. This means that x can take on any value that is both positive and a real number. It includes all positive integers as well as any positive fraction or decimal. The answer does not include any negative numbers or zero, as those are not considered positive.