If the odd function f (x) = ax ^ 3 + (B-1) x ^ 2 + CX has an extreme value at x = 1, then 3A + B + C=

If the odd function f (x) = ax ^ 3 + (B-1) x ^ 2 + CX has an extreme value at x = 1, then 3A + B + C=


For odd functions, the coefficient is 0
So B = 1
f(x)=ax³+cx
If x = 1 has extremum, then f '(1) = 0
f'(x)=3ax²+c
Then f '(1) = 3A + C = 0
So the original formula is 1



Min {a, B} is used to represent the minimum value of AB, if the image of F (x) = min {LXL, LX + TL} is symmetric with respect to the straight line x = - 1 / 2, then the value of T is obtained


Just draw a picture, t = - 1



Let min {a, B} denote the minimum value of a and B. Let f (x) = min {x + 2,10-x}, what is the maximum value of F (x)


Answer: 1. Judge when x + 2 is equal to 10-x & nbsp;: x + 2 & nbsp; = & nbsp; 10 & nbsp; - X2X & nbsp; = & nbsp; 8x & nbsp; = & nbsp; 4 when x = 4, the function value is 6, when X & gt; 4, the function value is 10-x, & nbsp; f (x) & nbsp; & lt; & nbsp; 6 when X & lt; 4



(12) Let min {a, B, C} denote the minimum of a, B, C. Let f (x) = min {2, x + 2,10-x} (x 0), then the maximum of F (x) is (a) 4 (b) 5 (c) 6 (d) 7


Let min {a, B, C} denote the minimum value of a, B, C. Let f (x) = min {2 ^ x, x + 2,10-x} (x ≥ 0), then what is the maximum value of F (x)?
The maximum value of F (x) is the value of Y at the intersection of the line y = x + 2 and the line y = 10-x, that is, the maximum value is f (4) = 6



The denominator of a fraction is 123 larger than the numerator, and it is 8 out of 49. What's the score?


Expand the denominator 49 by 2 times. If not, expand it by 3 times. If not, expand it by 4 times
49×3=147
147-123=24
The original score is: 24 / 147, about / 849
Solution 2: the numerator of the original fraction is 8x and the denominator is 49x
49x-8x=123
41x=123
x=3
The molecule of the original fraction is 8 × 3 = 24
The denominator of the original fraction is 49 × 3 = 147
The original score was: 24 / 147



The third person singular is preceded by an "s" and followed by an "s",
What if it's connected by and
What if there's a comma
If you add "like" to the front, do you want to add "s" to the back
Give me a good answer
Don't just say the answer
Why


If it is a coordinate and, the tense and the pronoun are the same
If and means to accept, the tense may change
If you use a comma connection, there is no such sentence. There must be a non finite structure after or in front of it



F '(x) = 1 + 2 / x ^ 2-A / X


I'm not very clear about the meaning of the question
If we want to find the monotone interval of F (x), we can directly discuss the value of a to solve the inequality;
If we want to find the monotone interval of F '(x), we need to find the derivation again and then solve the inequality



What are noun phrases and how are they made up


There are many kinds. For example, adjectives and nouns can form noun phrases, nouns followed by attributives, nouns followed by adverbials, nouns followed by verbs past participles and so on



As shown in the figure, point I is the heart of △ ABC, the extension line of AI intersects BC at D, and the circumcircle of △ ABC intersects E


Proof: connect Bi
Heart
∴∠BAE=∠CAE ∠ABI=∠DBI
The chord in the circle be = CE, ∠ CBE = ∠ CAE = BAE
∵∠EBI=∠CBE+∠DBI ∠EID=∠ABI+∠BAE
∴∠EBI=∠EIB
∴BE=IE
∴CE=BE=IE



The plural of what's that


What are those?