Answer:
- modulus: 3√2
- argument: -3π/4 (or 5π/4)
Step-by-step explanation:
The modulus is the magnitude of the complex number; the argument is its angle (usually in radians).
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<h3>rectangular form</h3>
The complex number can be cleared from the denominator by multiplying numerator and denominator by its conjugate:
<h3>polar form</h3>
The magnitude of this number is the root of the sum of the squares of the real and imaginary parts:
modulus = √((-3)² +(-3)²) = 3√2
The argument is the arctangent of the ratio of the imaginary part to the real part, taking quadrant into consideration.
arg = arctan(-3/-3) = -3π/4 or 5π/4 . . . . radians
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modulus∠argument = (3√2)∠(-3π/4)
Answer:
7/3
Step-by-step explanation:
The slope is found by dividing the difference in the y-coordinates by the difference in the x-coordinates.
Here, the difference in the y-coordinates is: 4 - (-3) = 4 + 3 = 7. The difference in the x-coordinates is: 3 - 0 = 3.
Dividing 7 by 3, we get a slope of 7/3.
F(x) = x² + 4
y = x² + 4
First, I reverse the equation to be
x² + 4 = y
Second, we need only x to remain on the left side and we need to move the others to the right side
x² + 4 = y
x² = y - 4
x = √(y - 4)
Last, change into invers function
f⁻¹(x) = √(x - 4)
Answer:
; 
; 
; 
Step-by-step explanation:
For a right angled triangle with one of its angle α (alpha) :-
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According to the question ,
1) When α (alpha) = d
2) When α (alpha) = e
Answer:
62.8 units
Step-by-step explanation:
The formula for a cylinder πr²h. R being the radius and h being the height.
Therefore, plug in the numbers and solve.
π(2)²(5) = 20π = 62.8 units
