evametz1027 evametz1027
  • 14-06-2021
  • Mathematics
contestada

Find the coefficient of the t4
term in the expansion of
(4t – 375
a

Find the coefficient of the t4 term in the expansion of 4t 375 a class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 14-06-2021

9514 1404 393

Answer:

  -3840t^4

Step-by-step explanation:

The k-th term, counting from k=0, is ...

  C(5, k)·(4t)^(5-k)·(-3)^k

Here, we want k=1, so the term is ...

  C(5, 1)·(4t)^4·(-3)^1 = 5·256t^4·(-3) = -3840t^4

__

The program used in the attachment likes to list polynomials with the highest-degree term last. The t^4 term is next to last.

Ver imagen sqdancefan
Answer Link

Otras preguntas

SECTION I: GRAMMAR 1.. People remember Esther Morris. * O Past Tense O Present tense O Future Tense
IS -13 LESS THAN OR GREATER THAN 14
5. What civilization is considered a successor state of the Mayan Civilization?
solving multistep linear equations and inequalitieshelp me please​
Tracy applied for a home loan from her bank. The bank is willing to give her the loan but at a very high interest rate. Why do you think the bank is charging he
Find the length of side CB in the following right triangle Round your answer to the nearest tenth.
Nylon was first synthesised in
ano ang Kahulugang Pansemantika (FILIPINO) URGENT PLS HELP, NEED THIS IN 2 MIns (50 pts!!)
In the following atomic model, where does the strong nuclear force happen?
Which refers to the ends of a magnet where the forces are strongest? A) attracting forces B) opposing forces C) magnetic fields D) magnetic poles