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3 years ago

I have to slove for g

Mathematics

1 answer:

QveST [7]3 years ago

3 0

g=h/a hope this helps !!

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Simplify this algebraic expression.

Maru [420]

Answer:

Step-by-step explanation:

$y - \frac{3}{3} + 12$

$y - 1 + 12$

$y + 11$

4 0

3 years ago

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. Y = (4/9) x

frez [133]

Answer:

V = 8.06 cubed units

Step-by-step explanation:

You have the following curves:

$y_1=\frac{4}{9}x^2=f(x)\\\\y_2=\frac{13}{9}-x^2=g(x)$

In order to calculate the solid of revolution bounded by the previous curves and the x axis, you use the following formula:

$V=\pi \int_a^b [(g(x))^2-(f(x))^2]dx$ (1)

To determine the limits of the integral you equal both curves f=g and solve for x:

$f(x)=g(x)\\\\\frac{4}{9}x^2=\frac{13}{9}-x^2\\\\\frac{4}{9}x^2+x^2=\frac{13}{9}\\\\\frac{13}{9}x^2=\frac{13}{9}\\\\x=\pm 1$

Then, the limits are a = -1 and b = 1

You replace f(x), g(x), a and b in the equation (1):

$V=\pi \int_{-1}^{1}[(\frac{13}{9}-x^2)^2-(\frac{4}{9}x^2)^2]dx\\\\V=\pi \int_{-1}^1[\frac{169}{81}-\frac{26}{9}x^2+x^4-\frac{16}{81}x^4]dx\\\\V=\pi \int_{-1}^1 [\frac{169}{81}-\frac{26}{9}x^2+\frac{65}{81}x^4]dx\\\\V=\pi [\frac{169}{81}x-\frac{26}{27}x^3+\frac{65}{405}x^5]_{-1}^1\\\\V\approx8.06\ cubed\ units$

The volume of the solid of revolution is approximately 8.06 cubed units

8 0

4 years ago

Perrie invests £25000 for 3 years in a saving account. She gets 2.7% per annum compound interest. Calculate the total amount of

aleksandr82 [10.1K]

Answer:

I (interest) = £ 2,080.17

Step-by-step explanation:

Perrie invests £25000 for 3 years in a saving account. She gets 2.7% per annum compound interest. Calculate the total amount of interest perrie will get after 3 years.

To solve the above question, we would use the Periodic compound interest formula

A = P(1 + r) ^t

Where P = Principal = £25000

r = Interest rate = 2.7 % = 0.027

t = time in years = 3 years

Hence:

A = £25,000( 1 + 0.027)³

A = £27,080.17

A = P + I where

P (principal) = £ 25,000.00

I (interest) = £27,080.17 - £ 25,000.00

I (interest) = £ 2,080.17

The total amount of interest perrie will get after 3 years is £ 2,080.17

3 0

3 years ago

Help please!????????????????

PSYCHO15rus [73]

AnswerR

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Glve the values of a, b, and c needed to write the equation's standard form.<br> 5 + x)(5 - x) = 7

beks73 [17]

A=1 B=0 C=-18. This will be your correct answer.

3 0

2 years ago

I have to slove for g ​

I have to slove for g