Step-by-step explanation:
G(x) = (16x − 7) cos³(4x) − 9 sin⁻¹(x)
A) Use product rule, power rule, and chain rule to take the derivative.
G'(x) = (16x − 7) (3 cos²(4x) (-4 sin(4x))) + 16 cos³(4x) − 9 / √(1 − x²)
G'(x) = (-192x + 84) cos²(4x) sin(4x) + 16 cos³(4x) − 9 / √(1 − x²)
Evaluate at x = 0.
G'(0) = (0 + 84) cos²(0) sin(0) + 16 cos³(0) − 9 / √(1 − 0)
G'(0) = 16 − 9
G'(0) = 7
B) Use point-slope form of a line to write the equation.
y − (-7) = 7 (x − 0)
y + 7 = 7x
y = 7x − 7
Answer:
x < 3 7/16
Step-by-step explanation:
Answer:
1/6 or 6/36
Step-by-step explanation:
Given the qualifications, there are six qualifying combinations out of the 36 combinations, which simplified, is 1 out of 6.
Answer: No value for x
Step-by-step explanation:
Open the bracket
2x-6=2×+5; combine like terms
2×-2×=5+6
0=11
7:45 -1 hour=6:45
The concert started at 6:45
7:45+2 hours=9:45
The concert will be over at 9:45
The time outside the theater is
5:30a.m. or 5:30p.m.
It's most likely 5:30p.m. as 5:30a.m. is really early in the morning.
