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:
2.2360679775
that's what I counted and got yep u know I was wrong.
Answer:
495 cm
Step-by-step explanation:
Remark
When you do the subtraction, whatever is left (the decimal part) is the length in cm when multiplied by 100.
Solution
Remaining rope = starting length - what was used.
Remaining rope = 6.15 - 1.2
Remaining rope = 4.95 meters
Answer
The remaining rope = 4.95 * 100 = 495 cm
Answer:
b
Step-by-step explanation:
Answer:
- 6
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
Here [ a, b ] = [ 2, 6 ] , then
f(b) = f(6) = - 6² + 2(6) + 2 = - 36 + 12 + 2 = - 22
f(a) = f(2) = - 2² + 2(2) + 2 = - 4 + 4 + 2 = 2 , then
average rate of change = 
= 
= - 6
