4 years ago

Is it possible for 3 to go into 32

Mathematics

2 answers:

Sonbull [250]4 years ago

8 0

No. 32 is not divisible by 32, or vise versa (whatever)

posledela4 years ago

3 0

Yes. By all means yes. Its very very possible. In fact it can go in there ten times over.

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Let r be the region in the first quadrant bounded by the graph y=8- x^ (3/2) Find the area of the region R . Find the volume of

Vanyuwa [196]

The boundaries:
x = 0, y = 8; y = 0, √x³ = = 8, x = 4
$A= \int\limits^4_0 {(8- x^{3/2}) } \, dx = \\ =8 x - 2 \sqrt{ x^{5} }/5= \\ 8*4-64/5 =19.2$
$V = \int\limits^4_0 { \pi (8 - x^{3/2}) } \, dx = \\ = \pi \int\limits^0_4 {(64 - 16 * 2 \sqrt{ x^{5} /5} + x^{4}/4) \, dx =$
= π ( 64 x - 16 * 2 *√x^5 + x^4 / 4 ) =
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8 0

3 years ago

Solve the given linear Diophantine equation. A) 12x+9y=15 B) 8x+10y=17

Nookie1986 [14]

Answer:

A) (x, y) = (2-3n, 4n-1) . . . . for any integer n

B) no solution

Step-by-step explanation:

A) All coefficients have a common factor of 3, so any solution of the reduced equation will be a solution of the given equation. The reduced equation is ...

4x +3y = 5

A graph of the original shows (x, y) = (2, -1) is a solution. Then other solutions will be those values with a multiple of 4 added to y and the same multiple of 3 subtracted from x:

(x, y) = (2 -3n, 4n -1)

B) The left side of the equation is an even number for any integer values of x and y. The right side is an odd number. There can be no solution.