Please use " ^ " to denote exponentiation:
<span>f(x) = –(x + 8)^2 – 1
Find the first derivative: f '(x) = -2(x+8)(1)
Set this = to 0: -2(x+8) = 0
solve for x: x = -8
Divide the number line into subintervals based upon x=-8:
(-inf, -8) and (-8, inf)
Choose a test value for x from each interval, e. g., -10 from the first interval and 20 from the second.
Subst. this test value into the derivative, shown above.
If the result is + the function is incr on that interval; if - the fn. is decr.
Questions welcome!</span>
Step-by-step explanation:
Insufficient information!
however, volume will remain same in both of these figures!
The answer is B, 3/4 is greater than 3/5
3/4=0.75
3/5=0.6
0.75 is greater than 0.6
The answer is... #5 is ONE because theres only one way to get there
i think #6 is Infinitely many
Answer:
Perpendicular: -2/5
Parallel: 5/2
Step-by-step explanation:
The slope-intercept formula is y=mx+b, where mx is the slope.
So in the equation y = 5/2x, 5/2 is understood as the slope.
To find a perpendicular slope you have to do the opposite (sign), reciprocal (flip denominator and numerator) of the original number.
Therefore 5/2 become negative, and then the numerator and denominator switch sides. (-2/5)
Parallel slope is the exact same as the original one so nothing changes. (5/2)