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3 years ago

How would you integrate (2x-1)(6x+5)? is there a product rule for integration?

1 answer:

4 0

No, there is not a product rule for integration.

To integrate (2x - 1)(6x + 5), start expanding the product:

(2x - 1)(6x + 5) = 12x^2 + 10x - 6x - 5 = 12x^2 + 4x - 5.

Now, I guess you know how to integrate that:

∫ (12x^2 + 4x - 5) dx = ∫12x^2 dx + ∫4x dx + ∫ (-5) dx = 4x^3 + 2x^2 - 5x + C

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Find the x will name brainlist

Alenkasestr [34]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

Find x.

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

To solve these type of problems you need to use the pythagoras theorem ⇨ Hypotenuse² = Base² + Altitude².

Here,

Altitude = 1.6 cm.
Base = 1.2 cm
Hypotenuse = x

Now, let's solve for x.

Hypotenuse² = Base² + Altitude²

x² = (1.2)² + (1.6)²

x² = 1.44 + 2.56

x² = 4

x = √4

x = 2.

So, the value of x is 2 cm.

Pythagoras theorem can be used only in the cases of right-angled triangles. Here, it's given that the triangle is right angled so we can use this theorem.
To solve the squares if decimals, take them as whole numbers & then just add the decimal points. For example, ⇨ for (1.2)², take it as 12² , then multiply 12 by 12, you'll get 144. Now, add the decimal place accordingly ⇨ 1.44 . So, (1.2)² = 1.44.

8 0

2 years ago

Mario has a business selling muffins. Let x be the price of a muffin. Then, the profit P for Mario’s business is given by p(x)=-

Rufina [12.5K]

To make a positive profit p(x)>0 we need to make:
$-100 x^{2} +350x-150 \ \textgreater \ 0$

Now we solve this for x:
$-2 x^{2} +7x-3 \ \textgreater \ 0$

We have:
a = -2
b = 7
c = -3

We will use formula for quadratic equation:
$x_{1} = \frac{-b+ \sqrt{ b^{2}-4ac } }{2a} \\ \\ x_{2} = \frac{-b- \sqrt{ b^{2}-4ac } }{2a} \\ \\ x_{1} = \frac{-7+ \sqrt{ 49-24 } }{-4} = \frac{-7+5 }{-4} = \frac{-2 }{-4} = \frac{1}{2} \\ \\ x_{2} = \frac{-7- \sqrt{ 49-24 } }{-4} = \frac{-7-5 }{-4} = \frac{-12 }{-4} = 3$

We got two solutions. One is fraction other is whole number. We will not consider fraction because the amount of muffins sold must be whole number. So our solution is:
x>3

5 0

2 years ago

Read 2 more answers

A table with a round top is cut in half so that it can be used against a wall.after it is cut,the edge along the wall is 6 feet

MrRissso [65]

Answer:

The area of the table after it is cut is 12 or 36 because

Step-by-step explanation:

6 times 2= 12 and 6 times 6= 36 so year

4 0

3 years ago

Find the value of x and y (3y+5) (2x+1) 85

Usimov [2.4K]

Answer:

Step-by-step explanation:

I think the answer C x=42 y=30, correct me if i'm wrong

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3 years ago

3. Han has a fish tank that has a length of 14 inches and a width of 7 inches. Han puts in

muminat

The height of the tank is 12 inches

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2 years ago