If x=0 and x=3 then 3 divided by 2x to the second power minus 2 divided by x to the second power minus 3x
1 answer:
Answer: undefined in both cases.
Explanation:
1) Expression to evaluate:
2) You are asked to evaluate that expression for two different cases, x = 0 and x = 3.
3) First case: x = 0
The expression cannot be evaluated at x = 0, because the denominators (both denominators) equal 0, and the division by 0 is not defined.
So, the answer is undefined.
4) Second case, x = 3
When you replace x = 3 you get:
Again, this result in a division by 0, so you conclude that it is undefined too.
Explanation:
1) Expression to evaluate:
2) You are asked to evaluate that expression for two different cases, x = 0 and x = 3.
3) First case: x = 0
The expression cannot be evaluated at x = 0, because the denominators (both denominators) equal 0, and the division by 0 is not defined.
So, the answer is undefined.
4) Second case, x = 3
When you replace x = 3 you get:
Again, this result in a division by 0, so you conclude that it is undefined too.
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4.
known side: opposite (150m)
unknown sides: adjacent and hypotenuse
using Tan to find the distance from the tower's base to the key.
why do we use Tan to find the distance?
the tower creates an angle of 72 degrees with the ground, which will be called α, and it is 150m high from the ground which is opposite ∠α. (shown in picture). we can see that the distance from the base of the tower to the key is the adjacent of the ∠α.
Tan α = opposite / adjacent
=> Tan 72° = 150 / x
=> x = 150 / Tan 72°
=> x = 48.73795443 m = ~48.7m
5.
4.
known side: opposite (150m)
unknown sides: adjacent and hypotenuse
using Sin to find the distance that the ant travelled.
why do we use Sinn to find the distance?
the tower creates an angle of 72 degrees with the ground, which will be called α, and it is 150m high from the ground which is opposite ∠α. (shown in picture). the ant travelled along the tower's body, which is the hypotenuse of the triangle, from the top until reaching the ground.
Sin α = opposite / hypotenuse
=> Sin 72° = 150 / x
=> x = 150 / Sin 72°
=> x = 157.7193336 m = ~157.7m
6.
(using unrounded numbers to calculate because there is a small difference in results if using the rounded numbers)
c^2 = a^2 + b^2 (pythago)
157.7^2 = 150^2 + 48.7^2
24875.3882 = 24875.3882 (correct)
Answer:
The point of maximum growth is at x=0.82
Step-by-step explanation:
Given a logistic function
we have to find the point of maximum growth rate for the logistic function f(x).
From the graph we can see that the carrying capacity or the maximum value of logistic function f(x) is 24 and the point of maximum growth is at i.e between 0 to 12
So, we can take and then solve for x.
⇒
⇒ ⇒
⇒ log 3=-1.3x
⇒ -0.4771=-1.3.x ⇒ x=0.82
Hence, the point of maximum growth is at x=0.82
