Find the critical points of f(y):Compute the critical points of -5 y^2
To find all critical points, first compute f'(y):( d)/( dy)(-5 y^2) = -10 y:f'(y) = -10 y
Solving -10 y = 0 yields y = 0:y = 0
f'(y) exists everywhere:-10 y exists everywhere
The only critical point of -5 y^2 is at y = 0:y = 0
The domain of -5 y^2 is R:The endpoints of R are y = -∞ and ∞
Evaluate -5 y^2 at y = -∞, 0 and ∞:The open endpoints of the domain are marked in grayy | f(y)-∞ | -∞0 | 0∞ | -∞
The largest value corresponds to a global maximum, and the smallest value corresponds to a global minimum:The open endpoints of the domain are marked in grayy | f(y) | extrema type-∞ | -∞ | global min0 | 0 | global max∞ | -∞ | global min
Remove the points y = -∞ and ∞ from the tableThese cannot be global extrema, as the value of f(y) here is never achieved:y | f(y) | extrema type0 | 0 | global max
f(y) = -5 y^2 has one global maximum:Answer: f(y) has a global maximum at y = 0
A is correct because f(1)=3^1+1 so f(1)=4 and g(x)=4 so f(x)=g(x)
B is also correct because the ordered pair we get is (1,4) and this is in quadrant 1
C is incorrect
D is incorrect
E is incorrect
Ans: A and B are correct
Answer:
Step-by-step explanation:
Part A:
Mark did not round to the nearest hundreds, he rounded to the nearest tens.
Option A (Incorrect):
271 and 582 are normally not rounded down, unless we are using limits coming from the left and a unique equation.
Option B (Incorrect):
271 as the same problem as option A, but 582 rounding to 600 is correct. It doesn't make sense to round both numbers differently, unless stated.
Option C (Incorrect):
271 rounding to 300 is correct, but 582 is not normally rounded down to 500 unless we are using limits coming from the left and a unique equation. Unless stated, don't round both numbers differently.
Option D (Correct):
271 rounded to 300 and 582 rounded to 600 looks correct for rounding to the hundreds.
Part B:
There are two ways to solve this question:
One way:
271 + 582 = 853
Round 853 to the nearest hundred for 900
(Note: Round 853 to the nearest tens for 850.)
Second way:
271 + 582
Round Numbers:
300 + 600
= 900
Answer:
√(-2)²+12+14=√16+14=4+14=18
Step-by-step explanation:
Answer:
$ 9.5
Step-by-step explanation:
total money is $20
on lunch = 1/8 × 20 = 5/2 = $2.5
on movies = 2/5 × 20 = $8
total spent = 2.5+8 =$ 10.5
left money = 20-10.5 = $ 9.5
