This is middle school work
1 answer:
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Answer:
<u>Step-by-step explanation:</u>
y = A cos (Bx - C) + D
- A (amplitude) = max - D
- B = Period/2π ---> Period is the distance from max to next max
- C = B · Phase Shift ---> Phase shift is distance from y-axis to max
- D (vertical shift) = (max + min)/2
D = (max + min)/2 = (3 - 11)/3 = -4
A = max - D = 3 - (-4) = 7
Period = 9π/4 - π/4 = 8π/4 = 2π
B = Period/2π = 2π/2π = 1
Phase Shift = π/4 - 0 = π/4
C = B · Phase Shift = 1 · π/4 = π/4
Equation:
y = 7 cos (1·x - π/4) + (-4)
Answer:
Step-by-step explanation:
r = 5/(3sinθ-cosθ)
multiply both sides by (3sinθ-cosθ):
r(3sinθ-cosθ) = 5
expand:
3rsinθ-rcosθ = 5
replace rsinθ with y and rcosθ with x:
3y-x = 5
add x to both sides:
3y = x + 5
divide both sides by 3:
y = 1/3x + 5/3
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