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3 years ago

What does it mean for a function to have an absolute extreme value at a point c of an interval [a,b]

Mathematics

1 answer:

tekilochka [14]3 years ago

3 0

Hello from MrBillDoesMath!

Answer: Suppose the function is f(x). The statement means that either:

1) f(c) >= f(x) for x in the interval [a,b]

2) f(c) <= f(x) for x in the interval [a,b]

That is, the value of f(c) is larger (or smaller, take your choice) than the value of f(x) for all other x in the interval. Equivalently, f(c) is the largest (or smallest) value of f(x) in the interval.

Regards, MrB

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What is 31 3/4· 4 + 18 5/6 · 6

pshichka [43]

So (31 and 3/4) times (4) plus ( 18 and 5/6) times (6)
Remember
P
E
M
D
A
S

so [(31 and 3/4) times * (4)] + [ (18 and 5/6 ) times (6)]
that is [127] + [113]
so is 240

Hope this helps ;)

3 0

3 years ago

Can u guys help me plz!!!

ziro4ka [17]

Answer:

1 is B

2 is B

3 is D

4 is C

Step-by-step explanation:

Dont care enough to explain all of them

6 0

3 years ago

Ben drinks tea at an incredible rate. He drinks 3\dfrac123 2 1 3, start fraction, 1, divided by, 2, end fraction liters of tea

barxatty [35]

Answer:

Restating the question clearly:

Ben drinks tea at an incredible rate. He drinks 3 1/2 liters of tea every 2/3 of an hour. How much does he drink in one hour?

Answer:

He drinks $5\frac{1}{4}\ liters\$ in 1 hour

Step-by-step explanation:

$Rate\ of\ drinking\ =\ 3\frac{1}{2}\ liters\ per\ \frac{2}{3}\ of\ an\ hour\\$ $\therefore\ 3\frac{1}{2}\ liters\ is\ consumed\ in\ \frac{2}{3} \ hours\\\frac{7}{2} \ liters = \frac{2}{3} \ hours\\cross-multiplying\\7 \times 3\ liters = 2 \times 2\ hours\\21\ liters = 4\ hours\\4\ hours\ = 21\ liters\\\therefore\ for\ 1\ hour\\\frac{4}{4}\ hours = \frac{21}{4}\ liters\\1\ hour = 5.25\ liters\\5.25\ liters = 5\frac{1}{4}\ liters$

5 0

3 years ago

Can the volume of a cone with the same size base as a cylinder ever have a bigger volume? Explain

Liono4ka [1.6K]

Answer:

No, because if a cone and a cylinder have bases with equal areas, and both have identical heights, then the volume of the cone is one-third the volume of the cylinder.

3 0

3 years ago

I need help algebra

asambeis [7]

Answer:

A. the slope value is 1/4

B. 0

C. y = 1/4x

Step-by-step explanation:

A: the slope can be calculated with the formula

$m = \frac{rise}{run} = \frac{y2 - y1}{x2 - x1}$

m is the slope

(x1, y1) is your first coordinate point (any point will work)

(x2, y2) is your second coordinate point (any point will work)

Plug in your values, in this case I chose (0,0) and (4,1) as the two coordinates:

$m = \frac{y2 - y1}{x2 - x1} = \frac{1 - 0}{4 - 0} = \frac{1}{4}$

B: the y-intercept is the y-coordinate of where the graph touches the y-axis and in this case the coordinate is (0,0) where the y coordinate is 0.

the equation of the graph is y = mx + b.

m is the slope = 1/4

b is the y-intercept = 0

Therefore the equation is y = 1/4x

6 0

3 years ago