Answer:
Step-by-step explanation:
Given
Base:
Required
Determine the volume (in litres)
First, we need to calculate the area;
Base on the parameters given, we have:
So:
Answer:
Step-by-step explanation:
Isolate y
Divide both sides of the equation by -3
Cos( 6 x ) = 1/2
6 x = 60° ⇒ x 1 = 10°
6 x = 300° ⇒ x 2 = 50°
6 x = 420° ⇒ x 3 = 70°
6 x = 660° ⇒ x 4 = 110°
x 5 = 130°, x 6 = 170°, x 7 = 190° , x 8 = 230°, x 9 = 250°,
x 10 = 290°, x 11 = 310°, x 12 = 350°
Answer: there are 12 solutions on the interval ( 0 , 2π ).
Carry out the mult.: f(x) = -[x^2 - 21x + 9x - 189]
Combine like terms: f(x) = -[x^2 - 12x - 189]
Eliminate the brackets [ ]: f(x) = -x^2 + 12x + 189
Identify coefficients a, b and c: a= -1, b=12, c=189
The equation of the axis of symmetry is x = -b/(2a), which here equals
x = -(12)/[2(-1)], or x = 6
This is also the x-coordinate of the vertex. Plug x=6 into the original equation to calculate the y-coordinate.
