True.
Work is in attached sheet! <3
The answer is B.
Function means every x corresponds to one unique y value. ACD all have duplicates correspondence.
Find the concavity changes of f(x).
Give the x-coordinates.
So, the answer to the multiple choice question is -1 and 5 since those points are where f''(x) changes sign.
Note: You can tell that you're supposed to find the concavity changes of f(x) and not f''(x) because from the graph it's obvious that the concavity of f"(x) doesn't change.
Answer:
First lets find the area of the bottom circle:
7.2 is your radius so:
7.2^2 = 51.84 the reason why you square your radius is because thats apart of the formula when finding the are of a circle.
lets continue:
51.84 x 3.14(pi) = 162.7776
Now we need to find the area of the round surface but first we need to find the circumference of one circle and multiply it by the height.
2 x 3.14 x 7.2 = 45.216
Now lets multiply it by the height:
45.216 x 17 = 768.672
Now lets add both areas:
768.672 + 162.7776 = 931.4496 dont forget to round to the nearest hundredths place! 931.4496 rounded up = 931.45 square meters is your answer.
The function is:
f ( x ) = 2 / ( x² + 3 x - 10 )
x² + 3 x - 10 = x² + 5 x - 2 x - 10 = x ( x + 5 ) - 2 ( x + 5 ) =
= ( x + 5 ) ( x - 2 )
x + 5 = 0 => x = - 5
x - 2 = 0 => x = 2
Answer:
The vertical asymptotes are: x = - 5 and x = 2.