3 years ago

Which of the situations correspond to the equation below? 0.35 ( t + $850) = $339.50

Mathematics

1 answer:

pickupchik [31]3 years ago

3 0

The correct Answer is C and D.

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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

Brian has DVDs and CDs. The number of CDs he has can be modelled with the formula C = 2D + 11, where C represents the number of

wel

Answer: <u> 15 DVDs</u>

Step-by-step explanation:

C = 2D + 11

41 = 2D + 11

2D = 30

D = 15 DVDs

7 0

2 years ago

All the numbers between 20 and 40 which are multiples of 2 and 3

nydimaria [60]

Answer:

21, 24, 27, 30, 33, 36, 39.

Step-by-step explanation:

7 0

3 years ago

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Justin horse weighs 600 kilograms. How much does it weigh in grams

Art [367]

600 k (Kilograms to grams is:
600000 g (grams)

3 0

3 years ago

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Can someone solve this and explain?

stich3 [128]

The Answer would be 32

3 0

3 years ago