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3 years ago

Select the correct answer.

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

3 0

The answer choice should be D

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Evaluate the integral. (Assume a ≠ b. Remember to use absolute values where appropriate. Use C for the constant of integration.)

Bess [88]

Answer:

F(x)= 5*[ $\frac{x^{3} }{3}$ + (a*b)* $\frac{x^{2} }{2}$ + a*b*x + C.

Step-by-step explanation:

First step we aplicate distributive property to the function.

5*(x+a)*(x+b)= 5*[ $x^{2}$ +x*b+a*x+a*b]

5*[ $x^{2}$ +x*(b+a)+a*b]= f(x), where a, b are constant and a≠b

integrating we find ⇒∫f(x)*dx= F(x) + C, where C= integration´s constant

∫^5*[ $x^{2}$ +x*(a+b)+a*b]*dx, apply integral´s property

5*[∫ $x^{2}$ dx+∫(a*b)*x*dx + ∫a*b*dx], resolving the integrals

5*[ $\frac{x^{3} }{3}$ + (a*b)* $\frac{x^{2} }{2}$ + a*b*x

Finally we can write the function F(x)

F(x)= 5*[ $\frac{x^{3} }{3}$ + (a*b)* $\frac{x^{2} }{2}$ + a*b*x ]+ C.

4 0

3 years ago

A: -4 B: -16 C: 15 D: -5

baherus [9]

The answer here is B. -16

10 + -16 equals -6 and a negative divided by a negative is a positive so -6 divided by -3 is -2.

Hope this helps!

4 0

4 years ago

What does the pH of a solution represent?

lana [24]

Answer:

D. The pH indicates how acidic or basic a solution is.

Step-by-step explanation:

The range goes from 0 to 14, with 7 being neutral.

7 0

3 years ago

NEED HELP ASAP !! WILL MARK BRAINLEAST SHOW WORK TOO !!!

irinina [24]

Step-by-step explanation:

$(1 + \cos(x) )(1 - \cos(x) )$

$1 - \cos {}^{2} (x)$

$= \sin {}^{2} (x)$

$\frac{1}{ \cot {}^{2} (x) } - \frac{1}{ \cos {}^{2} (x) }$

$\frac{1}{ \frac{ \cos {}^{2} (x) }{ \sin { }^{2} (x) } } - \frac{1}{ \cos {}^{2} (x) }$

$\frac{1}{ \cot {}^{2} (x) } - \frac{ \csc {}^{2} (x) {} }{ \cot {}^{2} (x) }$

$\frac{ - \cot {}^{2} (x) }{ \cot {}^{2} (x) }$

$- 1$

$\sec {}^{2} ( \frac{\pi}{2} - x ) )( \sin {}^{2} (x) - \sin {}^{4} (x))$

$( \csc {}^{2} (x) )( \sin {}^{2} (x) - \sin {}^{4} (x )$

$\csc {}^{2} (x) ( \frac{1}{ \csc {}^{2} (x) } - \frac{1}{ \csc {}^{4} (x) } )$

$1 - \frac{1}{ \csc {}^{2} (x) }$

$1 - \sin {}^{2} (x)$

$\cos {}^{2} (x)$

3 0

2 years ago

Which expression is greater than -|-9.02|?

viktelen [127]

Step-by-step explanation:

6 0

3 years ago

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