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

What should be the guiding factor for a designer when using colors in a garment?
If a turtle is hit by a boat and damage is done to its shell, is the injury able to heal? Identify the correct answer to this quesiton and the correct names for
what's 6-4(6n+7) is greater than or equal to 122
What are 3 things engineers have developed?
How do you say I have short hair in French
what is the square root of 112
What is considered the eastern border of Europe
At what time of the year are most of the animals living in a temperate forest likely to reproduce? (1 point) In fall or winter to take advantage of food that gr
A toddler takes off running down the sidewalk at 270 ft/min. One minute later, a worried mother runs after the child at 580 ft/min. After how many minutes will
Two wires are used to suspend a sign that weighs 500 N. The two wires make an angle of 100° between each other. If each wire is exerting an equal amount of forc