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4 years ago

The product Of (x-1) And A Rational Expression Is 1. Find The Rational Expression

Mathematics

1 answer:

Margarita [4]4 years ago

8 0

Answer:

$\frac{1}{x-1}$

Step-by-step explanation:

(x - 1) × $\frac{1}{x-1}$ ( cancel the factor (x - 1) on numerator and denominator

= 1

[ In the same way 2 × $\frac{1}{2}$ = 1 ]

The required rational expression is $\frac{1}{x-1}$

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Find the area of the surface. The part of the surface z = xy that lies within the cylinder x2 + y2 = 36.

rewona [7]

Answer:

Step-by-step explanation:

From the given information:

The domain D of integration in polar coordinates can be represented by:

D = {(r,θ)| 0 ≤ r ≤ 6, 0 ≤ θ ≤ 2π) &;

The partial derivates for z = xy can be expressed as:

$y =\dfrac{\partial z}{\partial x} , x = \dfrac{\partial z}{\partial y}$

Thus, the area of the surface is as follows:

$\iint_D \sqrt{(\dfrac{\partial z}{\partial x})^2+ (\dfrac{\partial z}{\partial y})^2 +1 }\ dA = \iint_D \sqrt{(y)^2+(x)^2+1 } \ dA$

$= \iint_D \sqrt{x^2 +y^2 +1 } \ dA$

$= \int^{2 \pi}_{0} \int^{6}_{0} \ r \sqrt{r^2 +1 } \ dr \ d \theta$

$=2 \pi \int^{6}_{0} \ r \sqrt{r^2 +1 } \ dr$

$= 2 \pi \begin {bmatrix} \dfrac{1}{3}(r^2 +1) ^{^\dfrac{3}{2}} \end {bmatrix}^6_0$

$= 2 \pi \times \dfrac{1}{3} \Bigg [ (37)^{3/2} - 1 \Bigg]$

$= \dfrac{2 \pi}{3} \Bigg [37 \sqrt{37} -1 \Bigg ]$

3 0

2 years ago

For maths answer this question please<br> 4x-9=6-9

snow_tiger [21]

Answer:

x = 1.5

Step-by-step explanation:

First, calculate 6-9, which is -3.

Then we add 9 on both sides so that on the left, we only have 4x, and on the right, we have 6.

Then divide by 4 on both sides to get x = 1.5

5 0

3 years ago

Read 2 more answers

A maps key shows that every of 5 inches on the map represents 200 miles of actual distance.suppose the distance between 2 cities

Lady bird [3.3K]

200/5 = 40 miles per inch. 40x7=280 actual miles.

6 0

4 years ago

the age of three brothers are consecutive even integers. three times the age of the youngest brother exceeds the oldest brother'

kiruha [24]

16
x * 3 = 48
so divide 48 by 3
which is 16 so x = 16

3 0

3 years ago

HELP!!!!!!!!!!!!!!!!!!!!!!!!

Artyom0805 [142]

The recursive formula for f(n) is f(n) = 4.25 + f(n - 1), f(0) = 2.25.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let f(n) represent the total cost of shoe rentals for n games, hence:

The recursive formula for f(n) is f(n) = 4.25 + f(n - 1), f(0) = 2.25.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

8 0

2 years ago