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leonid [27]
3 years ago
13

Does the funtion satisfy the mean value theorem on the given interval? f(x)=e^-5x, [0,2]

Mathematics
1 answer:
brilliants [131]3 years ago
7 0
Yes, because it is continuous on [0,2] and differentiable on (0,2), the theorem states that there must exist some value c where a line tangent to c is parallel to the secant line through 0 and 2.
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Perform the indicated operation.<br> (w^3 +64)/(4+ w)
timurjin [86]

Answer:

(w^2 - 4w + 16)

Step-by-step explanation:

Note that w^3 +64 is the sum of two perfect cubes, which are (w)^3 and (4)^3.  The corresponding factors are (w + 4)(w^2 - 4w + 16).

Therefore,

(w^3 +64)/(4+ w) reduces as follows:

   (w^3 +64)/(4+ w)      (4 + w)(w^2 - 4w + 16)

--------------------------- = --------------------------------- =  (w^2 - 4w + 16)

             4 + w                     4 + w

6 0
3 years ago
Raul is paid $75 per week plus $5 for each new gym membership he sells. He may switch to a gym that pays $50 per week and $7.50
rosijanka [135]
Answer:
11 memberships

Step-by-step:
Gym 1 = 75+5m
Gym 2 = 50+7.5m

75+5m=50+7.5m
-50 from both sides
25+5m=7.5m
-5m from both sides
25=2.5m
divide both sides by 2.5
10=m
for 10therefor 75+5m<50+7.5m he must sell 11 memberships.
5 0
3 years ago
Write the equation of the circle. A with a center A(-4,-3) and radius 5
tiny-mole [99]

Answer:

(x+4)^2 + (y+3)^2 = 5^2

Step-by-step explanation:

The equation of a circle is

(x-h)^2 + (y-k)^2 = r^2

now substitute the known values

(x+4)^2 + (y+3)^2 = 5^2

and theres your equation

4 0
3 years ago
The point C(5, 4) is translated 9 units down.
Naily [24]

Answer:

The new point is at (5, -5)

Step-by-step explanation:

When a point is being translated down, they are being subtracted on the y-value. So all you have to do is subtract 9 from 4 and we end up with -5, our new y-value.

(5, -5)

3 0
3 years ago
Read 2 more answers
A conditional statement is logically equivalent to a biconditional statement. True False pls help i have a test and i was absent
andreyandreev [35.5K]

Answer:

false.

Step-by-step explanation:

A conditional statement is something like:

If P, then Q.

This means that if a given proposition P is true, then another proposition Q is also true.

An example of this is:

P = its raining

Q = there are clouds in the sky.

So the conditional statement is

If its raining, then there are clouds in the sky.

A biconditional statement is:

P if and only if Q.

This means that P is only true if Q is true, and Q is only true if P is true.

So, using the previous propositions we get:

Its raining if and only if there are clouds in the sky.

This statement is false, because is possible to have clouds in the sky and not rain.

(this statement implies that if there are clouds in the sky, there should be rain)

Then we could see that for the same propositions, the conditional statement is true and the biconditional statement is false.

Then these statements are not logically equivalent.

The statement is false.

3 0
3 years ago
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