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2 years ago

WILL GIVE BRAINLIEST! Simplify 350−−√+332−−√ Keep in simplified radical form.

Mathematics

1 answer:

Bess [88]2 years ago

7 0

Answer:

350

Step-by-step explanation:

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Use logarithmic differentiation to find the derivative of the function. y = x2cos x Part 1 of 4 Using properties of logarithms,

Arisa [49]

ANSWER

${y}^{'} = 2x \cos(x) - {x}^{2} \sin(x)$

EXPLANATION

The given function is

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

We take natural log of both sides;

$ln(y) = ln({x}^{2} \cos(x) )$

Recall and use the product rule of logarithms.

$ln(AB) = ln(A ) + ln(B)$

This implies that:

$ln(y) = ln({x}^{2} ) + ln( \cos(x) )$

$ln(y) = 2 ln({x} ) + ln( \cos(x) )$

We now differentiate implicitly to obtain;

$\frac{ {y}^{'} }{y} = \frac{2}{x} - \frac{ \sin(x) }{ \cos(x) }$

Multiply through by y,

${y}^{'} = y( \frac{2}{x} - \frac{ \sin(x) }{ \cos(x) ) })$

Substitute y=x²cosx to obtain;

${y}^{'} = {x}^{2} \cos(x) ( \frac{2}{x} - \frac{ \sin(x) }{ \cos(x) ) } )$

Expand:

${y}^{'} = 2x \cos(x) - {x}^{2} \sin(x)$

7 0

2 years ago

Eric found that about 60% of 80 classmates at school like hip-hop music. However, 70% of his 60 relatives like hip-hop.

DerKrebs [107]

Answer:

60% of 80 is about 48. 70% of 60 is 42. The number of his classmates who like hip-hop is greater than the number of his relatives who like hip-hop.

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Which polynomial is in standard form?

miv72 [106K]

Answer:

Step-by-step explanation:

8 0

2 years ago

If 2x+3y = 4 and y = 34, what is the value of x?

weeeeeb [17]

Answer:

Step-by-step explanation:

2x + 3y = 4

When y = 34

2x + 3(34) = 4

2x + 102 = 4

2x = 4 - 102

2x = - 98

x = -98/2

x = - 49

4 0

2 years ago

Solve using elimination. 4. 2x + 3y = 12 2x – y = 4 5. 5x – 2y = - 19 2x + 3y = 0

ANTONII [103]

I am attaching a document showing the steps.

3 0

2 years ago