Answer:
B. 3.
Step-by-step explanation:
At the limit we can take the numerator to be √(9x^4) = 3x^2
The function is of the form ∞/ ∞ as x approaches ∞ so we can apply l'hopitals rule:
Differentiating top and bottom we have 6x / 2x - 3. Differentiating again we get 6 / 2 = 3.
Our limit as x approaches infinity is 3.
The area of Erin's circle to the nearest hundredth is 50.24 in².
<h3>What is the area of the circle?
</h3>
A circle is a bounded figure which points from its center to its circumference is equidistant.
Area of a circle = πr²
Where :
3.14 X 4²
(3.14) (4) (4) = 50.24 in²
To learn more about the area of a circle, please check: brainly.com/question/14351152
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Answer: One solution.
Step-by-step explanation:
2(2x-3)+5x=4x+8x
4x-6+5x=12x
9x-6=12x
-6=3x
x=-2
Do you want a general solution or from 0 <= x < 2pi?
tan^2(2x) - 1 = 0
tan^2(2x) = 1
Take the square root of both sides,
tan(2x) = +/- 1
Two equations:
tan(2x) = 1
tan(2x) = -1
Solve each equation.
tan(2x) = 1, 2x = {pi/4, 5pi/4, 9pi/4, 13pi/4},
x = { pi/8, 5pi/8, 9pi/8, 13pi/8 }
tan(2x) = -1, 2x = { 3pi/4, 7pi/4, 11pi/4, 15pi/4 },
x = { 3pi/8, 7pi/8, 11pi/8, 15pi/8}
So for solutions within [0, 2pi),
x = {pi/8, 3pi/8, 5pi/8, 7pi/8, 9pi/8, 11pi/8, 13pi/8, 15pi/8 }
Answer:
3.3%
Step-by-step explanation:
.198/6= .033
.033x100= 3.3%