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3 years ago

Which of the following words is a proper noun?

Mathematics

2 answers:

Nady [450]3 years ago

6 0

Answer:

B: President Kennedy

kondor19780726 [428]3 years ago

4 0

Answer:

apple

Step-by-step explanation:

apple

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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

3 years ago

A single bacterium is placed in a test tube and splits in two after one minute. After two minutes, the resulting two bacteria sp

boyakko [2]

I THINK THAT ITS 1.414 AS THE ANSWER.

6 0

2 years ago

If y = x + 5 and y = 11, then x = what?

Anestetic [448]

Answer:

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Which polynomial represents the difference 6x2+3x-8 and x2-3x+4

Semmy [17]

The difference will be
$6x^2+3x-8 - (x^2-3x+4) \\ =
6x^2-3x-8-x^2+3x-4 \\ =
5x^2 -12$ .
Remember that parentheses are needed for the second polynomial because the negative is distributed to all of its terms.

6 0

3 years ago

X - y = -2 y = -x - 2 What is the solution

LenKa [72]

Answer:

x = -2

y = 0

Step-by-step explanation:

Pretty hard process, but let me explain:

First, solve for y.

Substitute -x - 2 for y in x - y = -2:

Then, simplify both sides of the equation.

x - y = -2

x - (-x - 2) = -2

After, add -2 to both sides of the equation.

2x + 2 = -2

2x + 2 + -2 = -2 + -2

Next, divided both sides by 2.

2x/2 = -4/2

After that, substitute -2 for x in y = -x - 2:

You must simplify both sides of the equation.

y = -x - 2

y = -(-2) - 2

y = 0

Sorry if this is long and confusing, but I hope this helps!!

4 0

3 years ago