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 can government do to reduce unemployment?
What bodies of water touched Latin, Eastern Orthodox and pagan lands ?
8 friends share 4 sheets of construction paper equally how much does each person get
in a class of 28 sixth graders all but one are 12 years old' Witch two data measurements are the same for the students ages? what are those measurements ? PLEA
how do you make 28/6 in to a mixed fraction in simplest form
what are the main colors of art?
What weaknesses did ltaly have?
what is 1.04 in a fraction in simplest form?
Which is the genotype of the unknown offspring on row two of the Punnett square above? A. IBIB B. IBiO C. IBIA D. none of the above
41% of the students at an art college want to be graphic designers. About what fraction of the students want to be graphic designers?