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3 years ago

Which definite integral can be expressed as lim‖P‖→0∑k=1n(3ck2+2ck)Δxk where P is any partition of [3,7]?

Mathematics

2 answers:

Dominik [7]3 years ago

8 0

Answer:

Step-by-step explanation:

To find the continuous sum of a function, integrate it and apply the limits

(Reimann sum)

To find this sum,

Integrate 3x² + 2x and apply limits from 3 to 7

Delvig [45]3 years ago

3 0

Answer:

Check image.

Step-by-step explanation:

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What is the length of the hypotenuse of a right triangle that has sides measuring 12 cm and 35 cm

Westkost [7]

The measurement is 37 cm

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Can you pls help thanks

olga55 [171]

Okay so if the question is asking for the area the answer is 13 times 5 is 65 and 65 divided by 2 is 32.5 so 32.5 is the area of this triangle. If the question is what is x then the answer is 5
I hope this helps! :)

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HURRY PLS The length of time in hours of two airplane flights are represented by the following functions, where x is the number

mamaluj [8]

Answer:

h(x) = 0.0045x – 0.4

Step-by-step explanation:

The length of time in hours of two airplane flights are represented by the following functions, where x is the number of miles for the flight.

Flight A: f(x) = 0.003x - 1.2

Flight B: g(x) = 0.0015x + 0.8

Then the function

h(x) = f(x) + g(x) = (0.003 + 0.0015)x + (-1.2 + 0.8) = 0.0045x - 0.4.

Therefore, the third option is the right option. (Answer)

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3 years ago

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PLEASE ANSWER QUICKLY AND HELP ME!! THANK YOU SO MUCH!!

coldgirl [10]

Hello there!

To start off this problem, let's replace f(x) with x in the equation. This gives us the following.

$x= \dfrac{3}{4} x+12$

Subtract 3/4*x from both sides.

$x- \dfrac{3}{4} x=12$

$\dfrac{4}{4} x-\dfrac{3}{4}x=12$

$\dfrac{1}{4} x=12$

Now, multiply both sides by 4 to eliminate the fraction on the left side.

$x=12*4=48$

Your answer is B. Hope this helps! :)

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2 years ago

Logarithms:

bogdanovich [222]

Answer:

2^45 or ≈ 3.5*10^13

Step-by-step explanation:

Given equation

f(t) = 2^(kt)
f - number of cells, t - number of months, k- coefficient

We got 32 cells in the first month. It means:

t = 1, f(1) = 32

Using these numbers we can find the coefficient k:

32 = 2^(k*1)
2^5 = 2^k
k = 5

Then the equation becomes:

f(t) = 2^(5t)

Average time is 9 months, we can calculate the number of cells:

f(9) = 2^(5*9) = 2^45 ≈ 3.5*10^13

5 0

3 years ago