maryamalraish
maryamalraish maryamalraish
  • 03-01-2018
  • Mathematics
contestada

The function f is defined by f(x) = a + bcos2x, for 0 ≤ x ≤ π. It is given that f(0)=−1 and f(1/2π) = 7. (i) Find the values of a and b.

Respuesta :

wizard123
wizard123 wizard123
  • 03-01-2018
sub in given values to get 2 equations.

[tex]a + b \cos(2*0) = -1 \rightarrow a+b = -1 \\ \\ a+b \cos(2*\frac{\pi}{2}) = 7 \rightarrow a - b = 7[/tex]

Solve system using elimination.  Add the equations together, cancelling out 'b'
[tex]2a = 6 \\ \\ a = 3[/tex]

Sub into first equation to get value for 'b'
[tex]3+b = -1 \\ \\ b = -4[/tex]
Answer Link

Otras preguntas

Which of the following numbers can be expressed as repeating decimals? (5 points) 5 over 7 , 4 over 5 , 7 over 9 , 5 over 8
Identify which types of sources you will be reading. You will read Glaspell’s 1900 and 1901 newspaper accounts of the Hossack trial. are these primary or seco
if 2cm represents 9m on a scale drawing how many meters do 15 cm represent​
Hi,can someone check whether this is correct❤plzzz
To avoid the concentration of power, the states divided government functions between the _____. a. people and the governor. b. people and the legislature. c. g
Charisma refers to: Group of answer choices a. the situational traits that lead to transformational leadership. b. the traits that lead to managerial leaders
Write the expression in simplest form. (-11/2 x + 3)-2(-11/4x-5/2
what was the downfall of mesopotamia
What is an associative property
In order to obtain a sample of voters in Pennsylvania, a simple random sample of 10 counties is selected. From each of the selected counties, 10 precincts are c