3 years ago

Find the length of the curve y=3x^3/2 from x=0 to x=5/9

1 answer:

4 0

$y=3x^{3/2}\implies y'=\dfrac92x^{1/2}$

The length of the curve is

$L=\displaystyle\int_0^{5/9}\sqrt{1+\left(\dfrac92x^{1/2}\right)^2}\,\mathrm dx=\int_0^{5/9}\sqrt{1+\dfrac{81}4x}\,\mathrm dx=\dfrac{335}{243}$

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Luis purchased 24 purple plants and 8 pink plants. He wants to plant them in equal groups in hos garden. What is the largest num

luda_lava [24]

Answer:

8 groups.

Step-by-step explanation:

We are told that Luis purchased 24 purple plants and 8 pink plants. He wants to plant them in equal groups in his garden. We are asked to find out largest number of groups he can make.

To solve this problem we will find GCF of 24 and 8.

Factors of 24 are: 1,2,3,4,6,8,12 and 24.

Factors of 8 are 1,2,4 and 8.

We can see that greatest common factor of 24 and 8 is 8.

Therefore, Luis can make 8 groups each having 3 purple plants and 1 pink plant.

6 0

3 years ago

What is the result of dividing x3−7 by x + 2?

Leni [432]

Answer :
x^2 -2x + 4 and rest -15