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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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HELP ME Using the following equation, complete the square and find the center and radius of the circle:

IrinaK [193]

Answer: $(-2,3)$ , $r=5\ \text{units}$

Step-by-step explanation:

Given

the equation is $x^2+y^2+4x-6y-12=0$

completing the square

$\Rightarrow (x^2+2\times 2\times x+4-4)+(y^2-2\times3\times y+9-9)-12=0\\\Rightarrow (x^2+2\times 2\times x+4)+(y^2-2\times3\times y+9)-12-4-9=0\\\Rightarrow (x+2)^2+(y-3)^2=25\\\Rightarrow (x+2)^2+(y-3)^2=5^2\\\Rightarrow (x-(-2))^2+(y-3)^2=5^2$

Thus, the center of the circle is $(-2,3)$ and radius is $r=5\ \text{units}$

5 0

3 years ago

you are shopping for jeans. city express sells 3 pairs of jeans for $61. denim planet sells 2 pairs of jeans for $73. new thread

Kipish [7]

To find the best deal find the unit rate.
City express unit rate for pants per dollars is 1 pair : $20.33
Denim Planet unit rate is 1 pair : $36.50
New Threads Unit rate is 1 pair : $27.50
So City Express is the best deal

3 0

3 years ago

Read 2 more answers

NEED ANSWER NOW PLEASE!

Len [333]

For this case, the first thing you should do is the following sum:
income = Annual Salary + benefits
Substituting values we have:
income = (48500) + (2500 + 5000)
income = 56000
Answer:
She can expect a total amount of income with benefits from:income = 56000
(option 4)

7 0

3 years ago

✓-32 imaginary numbers

Lynna [10]

Answer:

√-32 imaginary numbers

$\sqrt{ - 32} \\ = \sqrt{ - 1 \times 16 \times 2} \\ = \sqrt{ - 1} \times \sqrt{16} \times \sqrt{2} \\ =\boxed{ 4 \sqrt{2} i}$

<h3>4√2i is the right answer.</h3>

8 0

3 years ago

3 + (5 + 7) = (3 + 5) + 7 what property is shown

ira [324]

Answer:

Properties of Real Numbers ...

Step-by-step explanation:

Commutative Property of Multiplication (Numbers) 2 • 10 = 10 • 2

Associative Property of Addition (Numbers) 5 + (6 + 7) = (5 + 6) + 7

Associative Property of Multiplication (Numbers) 6 • (3 • 2) = (6 • 3) • 2

Additive Identity (Numbers) 6 + 0 = 6

5 0

3 years ago