Help me with this math problem

Mathematics

2 answers:

monitta3 years ago

5 0

The answer to your math problem is 10

Serga [27]3 years ago

3 0

Answer:

The answer could be either 10 or -7

Step-by-step explanation:

(w-3)(w)=70

w^2 -3w=70

w^2 -3w-70=0

(w-10)(w+7)=0

w=10 or -7

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How many different ways are there to rearrange the letters in the word "Mississippi"?

Alexeev081 [22]

Answer:

39,916,800 different ways to rearrange Mississippi.

Step-by-step explanation:

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4 years ago

Use the shell method to find the volume of the solid generated by revolving the regions bounded by the curves and lines about th

RSB [31]

Answer:

The volume of the solid is:

$\displaystyle\frac{19\pi}{6}$

Step-by-step explanation:

See the graph of the region attached.

To find the intersection between the line and the parabola we set the equation equal to each other, and solve that quadratic equation by factorization:

$x^2=9-8x\\x^2+8x-9=0\\(x+9)(x-1)=0\\x=-9,x=1$

Since the region is the one for $x\ge 0$ then the intersection we are interested on is x=1 as it can also be seen in the graph.

Then we set the integral using shell method for revolving about the y-axis:

$\displaystyle\int_a^b 2\pi\,x\,h(x)\,dx$

Where h(x) is the height of the shell which here is the distance between the parabola and the line, so $8x-9-x^2$ (since the line is on the top we subtract from it the parabola)