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2 years ago

Help me Plz :)) What are the dimensions of AB?

Mathematics

1 answer:

chubhunter [2.5K]2 years ago

6 0

Answer:

c 2*3

Step-by-step explanation:

I think its correct

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The following integral requires a preliminary step such as long division or a change of variables before using the method of par

shtirl [24]

Division yields

$\dfrac{x^4+7}{x^3+2x} = x-\dfrac{2x^2-7}{x^3+2x}$

Now for partial fractions: you're looking for constants a, b, and c such that

$\dfrac{2x^2-7}{x(x^2+2)} = \dfrac ax + \dfrac{bx+c}{x^2+2}$

$\implies 2x^2 - 7 = a(x^2+2) + (bx+c)x = (a+b)x^2+cx + 2a$

which gives a + b = 2, c = 0, and 2a = -7, so that a = -7/2 and b = 11/2. Then

$\dfrac{2x^2-7}{x(x^2+2)} = -\dfrac7{2x} + \dfrac{11x}{2(x^2+2)}$

Now, in the integral we get

$\displaystyle\int\frac{x^4+7}{x^3+2x}\,\mathrm dx = \int\left(x+\frac7{2x} - \frac{11x}{2(x^2+2)}\right)\,\mathrm dx$

The first two terms are trivial to integrate. For the third, substitute y = x ² + 2 and dy = 2x dx to get

$\displaystyle \int x\,\mathrm dx + \frac72\int\frac{\mathrm dx}x - \frac{11}4 \int\frac{\mathrm dy}y \\\\ =\displaystyle \frac{x^2}2+\frac72\ln|x|-\frac{11}4\ln|y| + C \\\\ =\displaystyle \boxed{\frac{x^2}2 + \frac72\ln|x| - \frac{11}4 \ln(x^2+2) + C}$

7 0

2 years ago

Consider these three squares with known area 25, 144,169

hram777 [196]

Answer:

Step-by-step explanation:

three squares with known area 25, 144,169...

1) area of the square =25

Side ×side=25

Side^2=25

Side=√25

Side =5.

Answer is 5.

2) area of the square =144

Side ×side=144

Side^2=144

Side=√144

Side =12

Answer is 12.

3)area of the square =169

Side ×side=169

Side^2=169

Side=√169

Side =13

Answer is 13.

6 0

3 years ago

Marjorie is playing a new board game the rule state that when a player's piece lands on a red square the player must pay a penal

alexdok [17]

Interpreting the situation, it is found that Marjorie will have 240 left after paying her penalty.

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When the piece lands on the red square, the penalty is equal to 30 times the sum they roll on two numbers.
Marjorie rolls 4 and 2, thus, the sum is 6.
The penalty is of $6 \times 30 = 180$
She currently has 420, the penalty removes 180, thus, she will have 420 - 180 = 240 left after paying her penalty.

A similar problem is given at brainly.com/question/12166019

6 0

2 years ago

Which set of lengths might be used to represent the sides of a right triangle?

UNO [17]

Answer:

Step-by-step explanation:

3 0

2 years ago

I am the amount left over when a number canot be divided equally answer quick

Kryger [21]

Answer:

Remainder

Step-by-step explanation:

When a number can't be divided equally, there's an amount leftover. The leftover number is called a remainder

I'm not really great at explaining stuff, but I hope this helps!

4 0

2 years ago