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3 years ago

5

Need help here plss

1 answer:

vitfil [10]3 years ago

6 0

Linear equation graphs will only show us a line. Linear inequality graphs will show a line as well as a shaded area on one side of the line to show that all of the shaded points are solutions.

I hope this helps!

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Find the volume of the solid formed by revolving the region bounded by LaTeX: y = \sqrt{x} y = x and the lines LaTeX: y = 1 y =

Strike441 [17]

Answer:

The volume is:

$\displaystyle\frac{37\pi}{10}$

Step-by-step explanation:

See the sketch of the region in the attached graph.

We set the integral using washer method:

$\displaystyle\int_a^b\pi r^2dx$

Notice here the radius of the washer is the difference of the given curves:

$x-\sqrt{x}$

So the integral becomes:

$\displaystyle\int_1^4\pi(x-\sqrt{x})^2dx$

We solve it:

Factor $\pi$ out and distribute the exponent (you can use FOIL):

$\displaystyle\pi\int_1^4x^2-2x\sqrt{x}+x\,dx$

Notice: $x\sqrt{x}=x\cdot x^{1/2}=x^{3/2}$

So the integral becomes:

$\displaystyle\pi\int_1^4x^2-2x^{3/2}+x\,dx$

Then using the basic rule to evaluate the integral:

$\displaystyle\pi\left[\frac{x^3}{3}-\frac{2x^{5/2}}{5/2}+\frac{x^2}{2}\right|_1^4$

Simplifying a bit:

$\displaystyle\pi\left[\frac{x^3}{3}-\frac{4x^{5/2}}{5}+\frac{x^2}{2}\right|_1^4$

Then plugging the limits of the integral:

$\displaystyle\pi\left[\frac{4^3}{3}-\frac{4(4)^{5/2}}{5}+\frac{4^2}{2}-\left(\frac{1}{3}-\frac{4}{5}+\frac{1}{2}\right)\right]$

Taking the root (rational exponents):

$\displaystyle\pi\left[\frac{4^3}{3}-\frac{4(2)^{5}}{5}+\frac{4^2}{2}-\left(\frac{1}{3}-\frac{4}{5}+\frac{1}{2}\right)\right]$

Then doing those arithmetic computations we get:

$\displaystyle\frac{37\pi}{10}$

6 0

3 years ago

So what is the answer to The spinner below is spun twice. What is the probability of the arrow landing on a 3 and then on an odd

babymother [125]

Answer: nijja what

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Please Find the solution to the following system using substitution or elimination: y = 3x + 7 y = -2x -3

Dmitrij [34]

Answer: A (-2, 1)
see image explanation attached

5 0

3 years ago

4 3/10 divided by 3/5

inysia [295]

Answer:

7.16

Step-by-step explanation:

5 0

4 years ago

You deposit $3000 into a money-market savings account which pays 4.8% compounded quarterly, and you make no withdrawals from or

faust18 [17]

Answer:

$5265.71

Step-by-step explanation:

We have been given that you deposit $3000 into a money-market savings account which pays 4.8% compounded quarterly.

We will use future value formula to solve our given problem.

$FV=C_0\times (1+r)^n$ , where,

$C_0=\text{Initial amount}$ ,

r = Rate of return in decimal form,

n = Number of periods.

$4.8\%=\frac{4.8}{100}=0.048$

$n=3\times 4=12$

$FV=\$3,000\times (1+0.048)^{12}$

$FV=\$3,000\times (1.048)^{12}$

$FV=\$3,000\times 1.7552354909370114$

$FV=\$5265.7064\approx \$5265.71$

Therefore, there will be $5265.71 in your account at the end of those 3 years.

8 0

3 years ago