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

A

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

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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