Answer:
b. 1/2
Step-by-step explanation:
lim (x -3)(x +2)
x-->-∞ ---------------
2x^2 + x +1
= lim (x^2 -3x +2x - 6)
x-->-∞ -----------------------
2x^2 + x +1
= lim (x^2 -x - 6)
x-->-∞ -----------------------
2x^2 + x +1
When we plug in x = -∞, we get indeterminate form.
Now we have to use the L'hospital rule.
d/dx (x^2 - x - 6) = 2x -1
d/dx (2x^2 + x + 1) = 4x + 1
Now apply the limit
lim (2x - 1) / (4x + 1)
x--->-∞
Here we have to degree of the numerator and the denominator of the same. In this case, if x --> -∞, we get the result as the coefficient of the leading term as the result.
According to the rule, we get
= 2/4
Which can simplified as 1/2
The answer is 1/2
Hope this will helpful.
Thank you.
Answer:
shown below.
Step-by-step explanation:
v = 150 since 180 - 30
for w we need 2y and x. the base angles of the triangle are 30 and 50 therefore x = 100. 2y = 30 because corresponding angles. ergo, w = 50
x = 100
y = 15
z = 50
Answer:
a) 3x - 6x^2y + 2xy - 2x
b) 4x^2 <u>- 3y </u>+ 2x <u>+ 7y</u>
Step-by-step explanation:
Like terms is when the terms are the same.
For example, 3x and -2x would be like terms (both have x).
Not like terms would be 4x^2 and +2x (one is just an x and the other is x^2).
13 m is the volume of the prism
In x^3=64, X is equal to 4
