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Marina86 [1]
3 years ago
6

Find the average value of the function over the given interval and all values of x in the interval for which the function equals

its average value. (Round your answer to three decimal places.) f(x) = 4x3 − 3x2, [−1, 3]
Mathematics
1 answer:
MrRissso [65]3 years ago
8 0

The average value of f(x)=4x^3-3x^2 over [-1, 3] is

\displaystyle\frac1{3-(-1)}\int_{-1}^3(4x^3-3x^2)\,\mathrm dx=\frac14\left(x^4-x^3\right)\bigg|_{-1}^3=\frac{(3^4-3^3)-(1+1)}4=\boxed{13}

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One day, 18.75 % of the 32 people in your class were sick. How many of your classmates were sick that day
Bond [772]

Answer:

Step-by-step explanation:

6

5 0
3 years ago
Ming has a goal to jog 4 1/2 mile each day. On Monday she jogged 5 9/16 miles. By how much did she exceed her goal for that day?
Darya [45]

5 9/16 - 4 1/2= 1 1/16

I got this because you have make the fractions denomenators equal to subtract them. Once you find how to make them equal you need to mutiply the top numbers the same as the bottom so you can make the new fractions that are equal to the ones before. Then you subtract them and the wholes as well. LOOK BELOW.....

9 x1 9

_ = _

16 x1 16

1 x8 8

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2 x8 16

9/16-8/16= 1/16 of extra miles

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1 and 1/16 of extra miles on monday

5 0
3 years ago
Two cars are driving away from an intersection in perpendicular directions. The first car's velocity is 777 meters per second an
salantis [7]

Answer:

The rate of change of the distance between the cars at that instant is 5.46 meters per second

Step-by-step explanation:

Speed of first car = 7 m/s

Speed of second car = 3 m/s

At instant, distance of first car from intersection = 5 meters

distance of second car from intersection = 12 meters

Therefore, we have

Distance between both cars at intant = √(12² + 5²) = 13 m

Rate of cahnge of distance is given by;

2ddd/dt = d(x² + y²)/dt = 2xdx/dt + 2ydy/dt

= 26dd/dt = 2×5×7 + 2×12×3 = 142

dd/dt = 142/26 = 5.46 m/s.

That is the rate of change of the distance between the cars at that instant = 5.46 meters per second.

7 0
3 years ago
1. What is the probability of rolling a number greater than a 4 on a standard dice? Remember to reduce your fraction.
marusya05 [52]

Answer:

1. 1/3

2. 7

Step-by-step ex

1. there are 2 numbers greater than 4, 5 and 6. so  that would mean 2/6 chacne of rolling a 5 or 6. simplified, it would be 1/3.

2. 42/6=7

6 0
4 years ago
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Please answer this question ​
Ymorist [56]

Answer:

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4 0
3 years ago
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