What must you do when you divide and multiply by a negative number?

Mathematics

1 answer:

Crank2 years ago

5 0

Answer:

When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side! This is why you must flip the sign whenever you multiply by a negative number.

Step-by-step explanation:

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Giải các phương trình vi phân sau y' - y/x+1 = 2

KatRina [158]

It looks like the differential equation is

$y'-\dfrac y{x+1}=2$

Multiply both sides by 1/(x + 1) :

$\dfrac{y'}{x+1}-\dfrac y{(x+1)^2} = \dfrac2{x+1}$

The left side is now a derivative of a product,

$\left(\dfrac y{x+1}\right)' = \dfrac2{x+1}$

Integrate both sides with respect to x :

$\dfrac y{x+1} = 2\ln|x+1|+C$

Solve for y :

$y = 2(x+1)\ln|x+1| + C(x+1)$

3 0

3 years ago

A bowl is in the shape of a hemisphere (half a sphere) with a diameter of 8 inches. Find the volume of the bowl. Use 3.14 for pi

gayaneshka [121]

Answer: 267.947 (or 267.95) inches^3

Step-by-step explanation:

The formula for the volume of a sphere is $\frac{4}{3}\pi r^{3}$ .

To find your radius (r), divide the diameter of 8 inches by 2. The radius is 4 inches.

Plug in your numbers to the volume equation to get $\frac{4}{3} (3.14)(4^3)$ . The first step is to cube 4 (4*4*4) to get 64. Now your equation is $\frac{4}{3}(3.14)(64)$ .