Answer:
Q13. y = sin(2x – π/2); y = - 2cos2x
Q14. y = 2sin2x -1; y = -2cos(2x – π/2) -1
Step-by-step explanation:
Question 13
(A) Sine function
y = a sin[b(x - h)] + k
y = a sin(bx - bh) + k; bh = phase shift
(1) Amp = 1; a = 1
(2) The graph is symmetrical about the x-axis. k = 0.
(3) Per = π. b = 2
(4) Phase shift = π/2.
2h =π/2
h = π/4
The equation is
y = sin[2(x – π/4)} or
y = sin(2x – π/2)
B. Cosine function
y = a cos[b(x - h)] + k
y = a cos(bx - bh) + k; bh = phase shift
(1) Amp = 1; a = 1
(2) The graph is symmetrical about the x-axis. k = 0.
(3) Per = π. b = 2
(4) Reflected across x-axis, y ⟶ -y
The equation is y = - 2cos2x
Question 14
(A) Sine function
(1) Amp = 2; a = 2
(2) Shifted down 1; k = -1
(3) Per = π; b = 2
(4) Phase shift = 0; h = 0
The equation is y = 2sin2x -1
(B) Cosine function
a = 2, b = -1; b = 2
Phase shift = π/2; h = π/4
The equation is
y = -2cos[2(x – π/4)] – 1 or
y = -2cos(2x – π/2) - 1
Answer:
9/10
Step-by-step explanation:
7
+
2
= 9
10 and 10 are equal so they stay the same.
Step-by-step explanation:
1.: Distribute the 3: 3g-24=18
2.: Add 24 to both sides: 3g=42
3.: Divide by 3: 3g/3=42/3
4.: Answer: g=14
Answer:
D
Step-by-step explanation:
In the other tables, their y values have a constant rate of change while as D does not.
Rate of Change for:
A = 5
B = 0.75
C = -5
D = Not Constant (+2 -> +3 -> +4)
Answer:
Volume of the cone = 
Step-by-step explanation:
Volume of a right circular cone:

For, h=3.9 feet
r= 14.7 feet
As, 
Volume :

Volume of the cone is 