Answer:
PQ = 16.04cm
Step-by-step explanation:
θ = 76°
QR = 4cm
PQ = ?
Since it's a right angle triangle,
QR = adjacent
PQ = opposite
Tanθ = opposite/adjacent
Tan76 = pq / 4
PQ = 4tan76
PQ = 4 * 4.010
PQ = 16.04cm
The answer is 2.9. You would round up since there is a 5
Answer: f'(x) = 12x + 48x³ - 48x⁵
<u>Step-by-step explanation:</u>
f(x) = (1 - 2x²)³
= (1 - 2x²)(1 - 4x² + 4x⁴)
1 - 4x² + 4x⁴
<u> -2x² + 8x⁴ - 8x⁶</u>
= 1 - 6x² + 12x⁴ - 8x⁶
f'(x) = 0 -2(6)x²⁻¹ + 4(12)x⁴⁻¹ - 6(8)x⁶⁻¹
= 12x + 48x³ - 48x⁵